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and in the decimal system. How many digits are there in these two numbers all together?
C.1379. Alex and Burt took their rabbits to a whole salesman to sell them to him at once. Each of them got as many dollars for each of their rabbits as many as the rabbits they each took to him. But, because their rabbits were so beautiful, they each got as many extra dollars for their rabbits from the salesman as many as the rabbits they each sold him. This way Alex received $202 more than Burt. How many rabbits did they each sell to the salesman?
C.1380. How many {a, b, c} sets are there containing three positive whole elements, where the product of a, b, and c is 2310?
C.1381. Let a, b, c, and d be different digits. Find their values so that the following sum has the least possible number of divisors, but the sum itself is the greatest possible.
C.1382. Fill in a 25×25 grid by using the numbers +1 and -1. Create the products of the 25 numbers in each column and in each row. Could the sum of these 50 numbers be:
a) 0
b) 10
c) 17?
C.1383. Is there such a triangle in which the heights are 1, 2, and 3 units long?
C.1384. You put a plain on each side of a regular, square-based pyramid. How many sections do these 5 planes divide the space?

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2.1) (Ch. 7) Explain what a residual is (also known as residual of prediction). 2) ...

e idea of “least squares” in regression (you need to fully read pp. 200-208 to understand).
3) What does it mean if b = 0?
4) What does it mean when r-squared is 0? What does it mean when r-squared is 1?
5) What is the difference in an unstandardized regression coefficient and the standardized regression coefficient?
6) If a report says test performance was predicted by number of cups of coffee (b = .94), what does the .94 mean? Interpret this. (For every one unit increase in ___,There is an increase in ___ )
7) If F (2,344) = 340.2, p < .001, then what is this saying in general about the regression model? (see p. 217)
8) Why should you be cautious in using unstandardized beta? (p. 218)
9) (Ch. 8) Explain partial correlation in your own words. In your explanation, explain how it is different from zero-order correlation (aka Pearson r).
10) (Ch. 9) What is the F statistic used to determine in multiple regression?
11) What is F when the null hypothesis is true?
12) In Table 9.4, which variable(s) are statistically significant predictors?
13) In Table 9.4, explain what it means if health motivation has b = .36 in terms of predicting number of exercise sessions per week.
14) What is the benefit of interpreting standardized beta weights? (see p. 264).
15) What happens if your predictor variables are too closely correlated?
16) Reflect on your learning. What has been the most difficult? How did you get through it? What concepts are still fuzzy to you? Is there anything you could share with me that would help me address how you learn best?

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ooking at how likely a given email is to be spam based on the words it contains. In particular, in this problem we’re going to count how often words are present in spam emails within some set of training data (which here means a set of emails that have already been marked as spam or not spam manually).
We have already started to write a function spam_score(spam_file, not_file, word), which takes in two filenames, along with a target word (a lowercase string). Both filenames refer to text files which must be in the same directory as hw07.py (we’ve provided several such files in hw07files.zip). The text files contain one email per line (really just the subject line to keep things simple) - you can assume that these emails will be a series of words separated by spaces with no punctuation. The first file contains emails that have been identified as spam, the second contains emails that have been identified as not spam.
Since you haven’t learned File I/O yet, we’ve provided code that opens the two files and puts the data into two lists of strings (where each element is one line - that is, one email). You then must complete the function, so that it returns the spam score for the target word. The spam score is an integer representing the total number of times the target word occurs across all the spam emails, minus the total number of times the word occurs in not-spam emails. Convert all words to lowercase before counting, to ensure capitalization does not throw off the count.

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paper at least 250-750 words.
1. Introduction
2. Thesis Statement
3. Supporting details
4. Conclusion
The Digital Divide: The Challenge of Technology and Equity
(1) Information technology is influence the way many of us live and work today. We use the internet to look and apply for jobs, shop, conduct research, make airline reservations, and explore areas of interest. We use Email and internet to communicate instantaneously with friends and business associates around the world. Computers are commonplace in homes and the workplace.
(2) Although the number of internet users is growing exponentially each year, most of the worlds population does not have access to computers of the internet. Only 6 percent of the population in the developing countries are connected to telephones. Although more than 94 percent of U.S households have telephones, only 56 percent
have personal computers at home and 50 percent have internet access. The lack of what most of us would consider a basic communication necessity the telephone does not occur just in developing nations. On some Native American reservations only 60 percent of the residents have a telephone. The move to wireless connectivity may eliminate the need for telephone lines, but it does not remove the barrier to equipment costs.
(3) Who has internet access? The digital divide between the populations who have access to the internet and information technology tools and those who dont is based on income, race, education, household type, and geographic location, but the gap between groups is narrowing. Eighty-five percent of households with an income
over $75,000 have internet access, compared with less than 20 percent of the households with income under $15,000. Over 80 percent of college graduates use the internet as compared with 40 percent of high school completers and 13 percent of high school dropouts. Seventy-two percent of household with two parents have internet access; 40 percent of female, single parent households do. Differences are also found among households and families from different racial and ethnic groups. Fifty-five percent of white households, 31 percent of black households, 32 percent of Latino households, 68 percent of Asian or Pacific Islander households, and 39 percent of American Indian, Eskimos, or Aleut households have access to the internet. The number of internet users who are children under nine years old and persons over fifty has more than triple since 1997. Households in inner cities are less likely to have computers and internet access than those in urban and rural areas, but the differences are no more than 6 percent.
(4) Another problem that exacerbates these disparities is that African-American, Latinos, and Native Americans hold few of the jobs in information technology. Women about 20 percent of these jobs and receiving fewer than 30 percent of the Bachelors degrees in computer and information science. The result is that women and members of the most oppressed ethnic group are not eligible for the jobs with the highest salaries at graduation. Baccalaureate candidates with degree in computer science were offered the highest salaries of all new college graduates.
(5) Do similar disparities exist in schools? Ninety-eight percent of schools in the country are wired with at least one internet connection. The number of classrooms with internet connection differs by the income level of students. Using the percentage of students who are eligible for free lunches at a school to determine income level, we see that the higher percentage of the schools with more affluent students have wired classrooms than those with high concentrations of low-income students.
(6) Access to computers and the internet will be important in reducing disparities between groups. It will require higher equality across diverse groups whose members develop knowledge and skills in computer and information technologies. The field today is overrepresented by white males. If computers and the internet are to be used to promote equality, they have to become accessible to schools cannot currently afford the equipment which needs to be updated regularly every three years or so. However, access alone is not enough; Students will have to be interacting with the technology in authentic settings. As technology has become a tool for learning in almost all courses taken by students, it will be seen as a means to an end rather than an end in itself. If it is used in culturally relevant ways, all students can benefit from its power.

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d for 1H NMR should be dilute.
b. Samples for 13C NMR should be dilute, and for 1H NMR should be concentrated.
c. Samples for 13C NMR and 1H NMR should both be concentrated.
d. Samples for 13C NMR and 1H NMR should both be dilute.
3. What is the proper way to dispose of an NMR sample that had deuterated chloroform (CDCl3) as the solvent?
a. Placement down the drain.
b. Placement in the non-halogenated organic waste container.
c. Placement in the halogenated organic waste container.
d. Placement in the oven for evaporation.
4. Which feature of a 1H NMR spectrum can provide information about the number of inequivalent kinds of hydrogen in the structure?
a. chemical shift
b. coupling
c. integration
d. None of the above.
5. Which feature of a 1H NMR spectrum can provide information about the number of neighboring hydrogens that a given hydrogen in the structure has?
a. chemical shift
b. coupling
c. integration
d. None of the above.
6. Which feature of a 1H NMR spectrum can provide information about the number of hydrogens responsible for each signal?
a. chemical shift
b. coupling
c. integration
d. None of the above
7. An unknown has a specific rotation (i.e., a rotation unequal to 0°) as measured with a polarimeter. What is true about the unknown?
a. The structure contains at least one chirality center.
b. The structure contains no chirality centers.
c. The structure has a plane of symmetry.
d. None of the above.
8. True or False: Conjugation increases the wavenumber of absorption in the IR spectrum.
True
False
9. What group classification does a solid unknown most likely belong to if its melting point is greater than 250 °C?
a. carboxylic acid
b. amino acid
c. amine
d. acid derivative
10. True or False: If a liquid unknown freezes when placed in an ice-water bath for 10 minutes, the melting point of the unknown is between 0 °C and 25 °C.
True
False

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quid with a “sweet” smell.
i. Using the ground state electron configuration and excited state electron
configuration explain the hybridization of the central Carbon (C) atom. (7 Marks)
ii. Identify the orbitals that overlap to form the C-Cl bond. Draw a diagram to show
the orbital overlap. (3 Marks)
iii. What is the bond angle of CCl4? (1 Mark)
b) Consider a Fluorine atom (F) and a Fluorine anion (F-). Which of these two species would
you expect to have a larger radius? Explain your answer. (5 Marks)
c) Explain why the first ionization energy of Aluminum (Al) is less than that of Magnesium
(Mg). (4 Marks)
d) Assume the atom Oxygen(O) can form both cationic(O+) and anionic(O-) species. Place
the following species in order of increasing first ionization energy, starting with the lowest.
O+, O, O-
(5 Marks)
4.
a) Sea water contains roughly 28.0 g of NaCl per liter. (NaCl molar mass = 58.44 gmol-1).
i. Calculate the number of moles of NaCl in a liter of sea water. (2 Marks)
ii. Calculate the molarity of NaCl in sea water. (4 Marks)
iii. Calculate the mass by volume percent (W/V) of NaCl in sea water. (4 Marks)
Lowest first
ionization energy
…………………
…..
Intermediate
ionization energy
…………………
…..
Highest first
ionization energy
…………………

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Rose
By: Tomson Highway
Should Only Native Actors Have the Right to Play Native Roles?
Deep in my Cree heart of hearts, I had two-millennium projects on the go, though this only in hindsight. One was for the year 2000, the other for 2001, and thus just to make sure I had the right year for actually beginning this brand new, and incredibly exciting, millenium. Those two projects? For the year 2000, an English language production, in Toronto, of the third play in what I call my “Rez Septology,” a play called Rose. And for the year 2001, the Japanese-language premiere, in Tokyo, of the second play in the septology, a play called Dry Lips Oughta Move to Kapuskasing. And this is how the two projects affected me and my life:
When it dawned on me, one cloudy day, that my career as a playwright had been destroyed by political correctness, I just about died. I wanted to throw myself under a subway train and just call it a day. I was horrified! After all that work? After all those years of struggle and of hope and of prayer and of pain and of tears and of more struggle, against odds that were impossible to begin with? But how can it be? How can the voice of a playwright be silenced? By a method so brutally effective as political correctness? In a country supposedly as civilized as Canada? Questions like this, and others like them, resounded through my brain over and over and over again. As they do to this day. Permit me, therefore, to start off with the “backdrop” before I go into “the projects,” please:
First of all, I don’t happen to have the good fortune of coming from a city such as Montreal or Vancouver or Toronto or Ottawa or New York or any other major city where educational (and employment) opportunities, right from age one, are virtually unlimited (believe me, you can be a movie star by age one in such cities!). And I don’t come from a city where English (or French) is the language of the day. I come, instead, from one of the tiniest, most remote, most inaccessible, most underprivileged and most troubled Indian reserves in the country, Brochet, Manitoba, population 700, one thousand five hundred kilometers directly north of Winnipeg (further than Churchill but on the opposite side of the province). I come from a place where the language spoken is Cree. AND Dene, incidentally; because we are located so far north, we spill over into the land of such sub-arctic peoples as the Dene (linguistically speaking) to the Navajo and other southwest Native nations. In fact, to fly from Toronto (my home until recently) to Brochet costs more than a ticket to Sydney, Australia or to Rio de Janeiro. To fly home to visit my family (which I do regular as clockwork), I could fly from Toronto to London, England and back - three times each way- for the same amount of money, easy. No jumping in a taxi or a car or on a bus or a train or a “seat sale” seat on a plane from Toronto to Vancouver for the likes of us, not to go have lunch with Mom, not to go to a funeral. Plane ticket prices for Canada’s northerners? Brutal. Brutal, brutal, brutal. And that’s just the distance barrier, never mind the linguistic. For Cree is as different from English as English is from Cantonese; not one shred of resemblance exists. In fact, the two languages are often completely at odds with each other. In one language, for instance, God is male, in the other, female. And that’s just the start…
So along comes this little Indian boy from one such remote northern Native community and into the big, big city of Toronto and he dares to dream of a career in the theatre, or, at the very least, in the world of Canadian letters. Fat chance, baby! Forget it.
He doesn’t listen. He goes ahead anyway. “No matter how they laugh, let them laugh. I can do it,” he says to himself. And he puts his shoulder to the grindstone, as they say in movies.
People always say The Rez Sisters was my first play. That’s not true. It’s not true at all. It may have been my first play to be successful with the general public. But there were five plays that came before that, every one of them self-produced, with money from my very own pocket. And some of these plays were awful, some of them were good, at least two of them were very, very good. But only with The Rez Sisters did my work suddenly, finally get noticed by, as I say, a wider public. By which time, I was almost forty. And what I had to go through to get those first five plays self-produced, you don’t even wanna know! How do you make money standing with your back against the wall in some big city, downtown back alley? Late, late at night? Guess.
When it came to that “first” play, however - and I speak here about The Rez Sisters, which, in fact, was my sixth - it was the fall of 1986. In those days, of course, you could count the number of professional Native actors in this country on the fingers on one hand alone. In my wildest dreams - keeping in mind that my work was totally unknown then - I dared to write this play for “them,” meaning for those four or five professional Native actors then in existence. The reason? I adored them. I just absolutely adored these people AND their work. They were my heroes. They kept my dreams alive.
So it came to the casting of the show. Finally, my play was going to get done! I was so excited I could hardly sleep at night. So then I approached them, these Native actors, for you see, as always, I was the producer, again, or at least in this case, one of the two co-producers, god bless the other co-producer, may he rest in peace. These Native actors, however, all said “no.” They were all too busy working on other projects, many of them on Native subject matter written by - horrors! - white people! I pleaded with them and pleaded with them and pleaded with them but, still, they said “no.” God bless them and their courageous careers but they made me cry. They made me want to give up and die.
So what choice did I have? Either I forget the play and kill myself. OR I go right ahead and hire - horrors! - white actors! Which is what I did, exactly. And these white actors, they were SO generous, they were so kind, so supportive, so confidence generating that, with their help as with that of those Native actors who did say “yes,” god bless them - I simply bloomed. The play opened. The play was successful. And it has never really stopped playing ever since, somewhere in the world, giving continued employment to many, many, many actors both Native and non-Native. As it will do probably forever - your grandchildren will be playing in The Rez Sisters! - something that would NEVER have happened if not for the help of extremely generous people who happened NOT to be Native, actors who happened to be white!
Several years later, I experienced a similar situation. This time, it was with a play called Rose. Again I wrote it for Native actors - of which, by this time (1991), there were many more - actors whom I absolutely adored, whose work I absolutely adored. And again, for some strange reason, they said “no.” They were NOT interested. I couldn’t get them interested. If their objective was to make me cry, then they were certainly utterly successful.
So then I waited ten years. Ten years! And by this time, I’m almost fifty years old, okay? Until some incredibly generous non-Native person comes along and offers to produce it, albeit, in a university setting, that is, a non-professional (i.e., non-paying) setting. I was thrilled. I was so thrilled I could have danced myself to shreds!
So then they went to work on it, this group of “white kids,” none of whom was older than twenty-five. And they worked. And they worked and they worked and they worked and they worked. Never seen such a group of people work so hard. And with so much faith and so much conviction and so much love. It was a blessing from heaven to be sitting there beside them, to be in the same room as them. They glowed, they glowed like lightbulbs. You’ve never seen people so happy, so high. And by the time the show opened, you couldn’t get a ticket; it had been sold out way before opening; hundreds of people were turned away. On virtually no advertising; it all happened by word of mouth. And, to me -as to most people who saw it - the production was FANTASTIC! It was rich, it was beautiful, it was spectacular, it was moving, it was...miraculous! Not perfect, perhaps, but pretty gall-darned good.
But these were the things about this experience that most struck me, that most stayed with me:
Not one of these actors got paid; they were students; in fact, because they were students of the drama programme at the University of Toronto, they were paying for the experience through their tuition fees which, if I understand correctly, can be as much as $8,000 a year at that particular institution. Pardon me - ONE of those actors DID get paid, a little girl we needed who, of course (being little), came from outside the drama programme. And she, by the way - and god bless her - was the only performer in that production who was Native. But how many Native actors do YOU know who would be willing to pay $8,000 to be in a show? Any show? That question stunned me.
All the other performers? Well, we had French-Canadians and Anglo-Canadians and
Dutch-Canadians and Polish-Canadians and Ukrainian-Canadians and Jewish-Canadians and Peruvian-Canadians and Lebanese-Canadians and Portuguese-Canadians and god only knows what else! And none of them have even met a Native person, up until then. They pretty well all came from the city of Toronto, or somewhere very close by (such as Barrie, or Sudbury) so they had never, ever been privy to any even remotely “Native experience” in their lives. Now, for the first time, in their third year of university, at ages 21-25, here they were getting this heavy-duty immersion course in “Native Studies,” meaning Native culture, Native history, Native spirituality, Native language - they were learning to speak Cree for god’s sake, something you can’t get Cree kids to do these days! - Native art, Native music, and just generally, Native life in this country, today. And you know what? They all fell in love with it. Now, as the direct result of such an experience, what they have for Native culture and people and languages is endless respect, even awe. And love. And what’s more, they will pass on that knowledge and that love and respect - and wisdom - on to their children and their grandchildren and their great grandchildren, etc., etc., etc…. The experience changed their lives. And both communities - Native AND non-Native - will benefit from it, both in the long term AND permanently.
The experience certainly changed MY life. It shocked me. The shock? That generosity and kindness and love know no racial boundaries. And that, contrariwise, UN generosity and lack of kindness and just plain cruelty ALSO know no racial boundaries. Coming out of Rose, I ended up with the immense gift of, minimum, 30 gorgeous, fantastically kind new friends, people whose friendship and generosity - and laughter - I will cherish right up until the day I die.
And the icing on the cake? A show was born that otherwise would never have been born, that otherwise would have died forever. A show was born that will give useful, meaningful, enriching employment - and enjoyment - to many, many people for many, many years. Like, I say, the whole thing was a shock. And it took ten years!
One more story before I close off on my point, the story, that is of my second “millennium project,” so-called. As it turns out, I’m writing this from Japan, specifically Tokyo, where the Japanese-language production of another play of mine, Dry Lips Oughta Move to Kapuskasing, just opened.
It was awesome. And, again, it wasn’t so much the production - which was absolutely stunning! Imagine, if you will, the Seven Samurai doing Dry Lips.. - that move me so much as the generosity of the cast and crew, Japanese every one of them. That generosity, that kindness, that largeness of heart, just astonished me. It made me cry. To be the beneficiary of kindness on that scale is a gift one could easily die for. As a result of just that one project, I now have a hundred friends, easy, in Japan. For the rest of my life! I LOVE Tokyo!
And again, none of these people had ever met a Native person - well, two had, but…- much less knew anything about Native culture first hand. By the end of the six-week rehearsal process, however, some of them were speaking Cree AND some Ojibway. And let me tell you, to hear your own Native tongue being spoken with a Japanese accent is a bittersweet experience indeed. (I mean, come on, folks! To be unilingual in a language that’s not even your own? If the Japanese can learn Cree, YOU can learn Ojibway!) And, again, these people will pass their respect for Native people and culture on to their children, their grandchildren, their great great grandchildren etc., etc., etc…. The experience changed their lives. It changed mine.
The one question I kept being asked over and over? How does it feel to have Japanese actors playing Native parts? (In the aforementioned Canadian production of The Rez Sisters, it was more like, “how dare these two white women STEAL Native parts from Native actors!” Well, good grief! The show would never have been born without them in the first place!) Anyway, my answer to the question in Japan was this:
1) These Japanese actors, they’re human beings, for god’s sake. What they are, first, foremost and last, is real-life, flesh-and-blood human beings with feelings, human beings who happen to be incredibly talented. And incredibly generous. If they hadn’t agreed to do it, it would never, EVER have happened.
2)To me, saying that only Native actors have the right to play Native roles - on stage, anyway, as opposed to film, which another thing entirely and not at all what I’m talking about here - well, that’s like saying only Italian actors have the right to play in Romeo and Juliet, or only Danish actors have the right to play in Hamlet, or only Spanish actors have the right to play in Blood Wedding. It would be like saying to someone like Canadian film-maker Atom Egoyan, “you have the right to work with Armenian actors only,” which, of course, would automatically bring his career to a standstill; it would destroy it, it would kill it, right there on the spot. Or as I asked, one sunny day, a respected, much admired Jewish theatre artist, “how would you like to work with no but Jews for the rest of your life?” You could almost see his hair stand on end; the very thought horrified him.
My argument with someone else at that same summer gathering? “Theatre is about illusion, the better the magic, the more profound the experience.” Besides, working in a situation of cultural, ethnic and linguistic diversity can be the most empowering, most liberating, most exhilarating experience in anyone’s life. Working in a pressure cooker environment by comparison? Working in the context of a “ghetto” of any kind whatsoever, be that “ghetto” Native or black or French or English or Jewish or female or male or gay or…? Remember the expression, “familiarity breeds contempt”? Well, only too frequently, such a working environment can only mean THAT kind of disaster. Or one of plain, out-and-out hatred. And hatred, as who doesn’t know, kills and kills completely. It kills relationships, it kills communities, it kills love. Look at what the Argentinians did TO EACH OTHER during the so-called “dirty war” of the 1970s. Look at what the Spanish did TO EACH OTHER during the Spanish Civil War. Look at what the Chileans have done TO EACH OTHER. Look at the Irish in Northern Ireland. Look at the Balkans, at Cambodia in the ‘80s, at Haiti, at Rwanda, etc., etc., etc…. Does anybody out there actually want to live like that? Internally directed hatred, internally directed violence - which, in essence, is what civil war is - well, there is nothing more destructive, we all know that. Diversity! What we all need is diversity! What we all need, desperately, is room to breathe! That’s what makes Canada work as a society; precisely its diversity. If we - all of us - were Cree, I would have had my head macheted off a long, long time ago!
All by way of saying the following: “Only Native actors have the right to play Native roles?” Music to Native actor’s ears, perhaps, yes, god bless them. But death to a Native playwright’s career. Because chances are that the show will NEVER, ever get done. No producer in the country has balls that size, balls big enough, that is to say, of going against the political grain. Not today. Not tomorrow.
Stop it, you people! It’s killing us!
Myself, I had to move out of the country, finally. I could no longer live there, not really. I kind of live, well...all over the world now. I do where I can find work. Because I certainly am NOT finding it in my own country. I go where I can find the kindness, I go where I can find the generosity, I go where I can find the friendship and support. The working situation in Canada, for someone like me? Well, it has simply become unworkable. I find it stultifying, asphyxiating. I CAN’T work under such artificial constraints. No one can. Sooner or later, it will drive you crazy. Not to mention kill your imagination. AND your career. All as you watch, with envious eyes, the careers of your non-Native playwright colleagues (whom you love) bloom like a garden everywhere around you…
It seems to me that what we have here are two distinct choices: a) either we cast a show politically correctly (meaning only Native actors play Native parts) and the show never, ever gets produced (trust me; I waited ten years for Rose to happen, more for others which will NEVER get done), or b) cast it any way you want, in whatever way you can afford it budget-wise (plane tickets are a waste of money, trust me), let the show be born, let the show become successful, and THEN it will live on forever to employ many, many, many more actors, Native and otherwise, for many, many, many more years. And the upshot of the latter arrangement? Having Native and non-Native actors working side by side like that? There is no better healing agent for bringing two only-too-frequently disparate, disharmonious communities together. And, in the process, making our country an even better, richer, healthier country than it is already.
The life of an artist is so incredibly challenging, after all, a Native artist’s most especially, in Canada today, or anywhere in the world. Everywhere you turn, insurmountable obstacles meet you square in the face. Everywhere you turn, events, or people, conspire to bring you down, to destroy you. What those artists need, and need most desperately, is as much breathing space as you can give them, the freedom to create, the freedom to employ, the freedom to fly with their souls and imaginations. Don’t hold them down. Don’t shoot them down. You will kill them. Or drive them away. They need all the help they can possibly acquire. They’ve already almost killed themselves just to get to where they are today.
Someone said to me one day: “Artists are here to break down barriers, not to create them.” So, myself, I’ve moved away. I’ve left my own country, to continue helping to break down barriers in whatever way I still can, at my age, in the only way I know how, and to have a good time doing it. The thing is, I can do that. I can take it. I’ve had, as they say in the business, my “fifteen minutes of fame.” Enough already. I’ve been very, very lucky (not to mention being the beneficiary of extraordinary teachers, absolutely extraordinary parents and many dear, dear friends). And I’ve moved on, to other things. I have had, after all, no choice.
The sad thing is this: what about the next generation of Native playwrights? Will they, too, one day find themselves standing on that subway platform - late, late at night, stoned, drunk out of their skulls, not a penny in their pockets, no future in sight - and those long, silvery tracks down below gleaming up at them in a manner most, most enticing?

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of Sport-Equip Ltd, a company that sells sports equipment. Some of the users
who visit the website end up buying sports equipment from the website while others are
simply browsing in order to obtain product information.
(a) Clearly explain and justify which probability distribution you would use to
describe the number of Internet users who visit the website of Sport-Equip Ltd
in a one hour period. [There is no need to calculate any probabilities for this part
of the question]
(5 marks)
(b) What is the probability that during any half-hour period, there will be less than 3
visitors to the website?
(5 marks)
(c) What is the probability that during any two-hour period, there will be more than
15 visitors to the website?
(5 marks)
(d) If a user has just visited the website, find the probability that the website will
have another visitor within the next 10 minutes. In your answer, state the
probability distribution you have used and explain your choice.
(4 marks)
(e) It is estimated that 40% of Internet users who visit Sport-Equip Ltd’s website
buy a product from the company. If 100 users visit the website over a given
period of time, find the probability that more than 50 of them will buy a product
from the company. In your answer, state the probability distribution you have
used and explain your choice

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ss of the previous inputs. If the lock has buttons representing the digits 0-9 then there are 10000 possible combinations from 0000-9999. In class, we indicated that no less than 10003 digits must be pressed to test every possible four digit sequence.
Is there a sequence of length 10003 that tests all possible combinations. If so, this sequence must be given to me in your write up as well as an explanation on how you came up with this sequence.
If there is no sequence of length 10003 that tests all possible combinations, can you come up a sequence with less than the maximum number (40000) which tests all possibilities? How did you come up with this sequence?

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y aces or twos, you lose the game immediately. You also lose if you draw picture cards(J,Q,K) more than twice. In this question, you’ll study the probability of winning this game.(a) What is the probability of drawing no aces or twos after thirteen draws?(b) Given you have drawn thirteen times, none of which is aces or twos, what is the probability that you draw at most two picture cards?(c) What is the probability to win this game?
12. Suppose you are tossing an unbiased coin for100times.(a) What is the probability of getting50heads and50tails?(b) LetXbe the random variable counting the number of heads you observe in this exper-iment. What is the expected value ofX? What is the variance ofX? What is thestandard deviation ofX?
13. The following are probability distributions for two random variablesX,Y.
kPr(X=k)
0,0.4
1,0.3
2,0.3
kPr(Y=k)
0,0.5
1,0.3
2,0.2
(a) Construct the probability distribution table for the random variableXY.(b) Find E[X],E[Y] and E[XY]. Is is true that E[XY] =E[X]E[Y]?(c) Find the variances σ2X,σ2Y,σ2XY of X,Y and XY. Is it true that σ2XY=σ2Xσ2Y?
14. The aliens who are fond of gambling came back to play another game with you. In this game, you first toss a coin5times. If you observe3or fewer tails, you roll a die3times. If youobserve4or more tails, you roll a die20times. What is the probability that you end up with at most two6’s in your dice rolls?
15. (Challenge question, worth2points) You have two bags, each of which contains10marbles.Each time you remove a marble from a random bag. What is the probability that after one of the bags is emptied, there are still exactly3marbles in the other bag?

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2,3,4,7). If it lands tails, a fair six-sided die is
thrown (with values 3,4,5,6,7,9). Regardless of which die is used, Alice
eats n grains of rice, where n is the largest prime factor of the die result
(for example, the largest prime factor of 9 is 3).
(a) What is the conditional probability that the coin lands heads, given
that Alice eats three grains of rice?
(b) Suppose that the entire experiment is conducted twice on the following day (starting with a new coin toss on the second run-through).
What is the conditional probability that the coin lands heads on both
run-throughs, given that Alice eats a total of five grains of rice during the two run-throughs?
(Do not count the two grains from part (a) in part (b); we assume
two brand new experiments, each with a new coin toss. Start your
solution by defining a suitable partition of the sample space. Please
use an appropriate notation and/or justification in words, for each
value that you give as part of your solution.)
Exercise 5) Alice and Bob throw an unfair coin repeatedly, with probability 2/5 of landing heads. Alice starts with £2 and Bob starts with £3 .
Each time the unfair coin lands heads, Alice gives Bob £1 . Each time
the unfair coin lands tails, Bob gives Alice £1 . The game ends when one
player has £5 .
(a) Draw a labelled Markov chain describing the problem, and write
down a transition matrix P. Write down the communication classes,
and classify them as either recurrent or transient.
(b) Using the transition matrix, calculate the probability that Alice loses
all of her money in exactly four tosses of the unfair coin.
(c) Calculate the (total) probability that Alice loses all of her money
(before Bob loses all of his).
(d) Calculate the expected (mean) number of tosses of the unfair coin,
for the game to end.

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a) A scientific theory must be able to be proven.
b) A scientific theory has been derived from known facts and always applies.
c) A scientific method should give different results depending on who performs the method.
d) Knowledge of our surroundings usually emerges through an interplay between theory and experiment.
2) The sides of a straight block are measured to 3,202 cm; 0.0012 cm and 11.2 cm, respectively. Calculate the volume of the straightening block and enter it with the correct number of value digits.
(2/0/0)
Number of words: 0
3) A 9.2 dm long and evenly thick rod rests on a support. 0.55 dm from one end, a dynamometer is hung so that the rod will hang horizontally. Then the dynamometer shows 4.4 N. How much does the bar weigh?
(1/1/0)
Number of words: 0
4) A bar AB that is homogeneous and evenly thick has a length of 2.70 m and is rotatable about an axis at A. The bar weighs 25 kg and is kept in equilibrium by a force F which has its point of attack in B. is 45 degrees. How big is the force F?
(1/1/0)
Saved!
25 * 9.82 = 245.5 N
Number of words: 6
5) A trolley rolls at a constant speed to the right. On the cart is an upward cannon that suddenly shoots a bullet. The carriage continues to the right with the same speed as before. Where does the bullet end up when it falls? For a detailed reasoning.
(1/1/1)
Number of words: 0
6) A river is 200 m wide. The water in the river flows at a speed of 2.5 m / s. A motorboat steers across the river at its maximum speed, which in stagnant water is 5.0 m / s. The boat is constantly heading perpendicular to the banks of the river. Where does the motorboat land on the other shore?
(2/0/0)
Number of words: 0
7) A ball with a mass of 2.0 hg moves at a constant speed in a circular path. The radius of the track is 1.5 m and it takes the ball 3.0 seconds to move one turn. How big is the centripetal force?
(1/1/0)
Number of words: 0
8) A bullet moves at a constant speed. Can we then safely say that the resultant of the forces acting on the bullet is zero? Motivate and discuss your answer.
(0/1/1)
Number of words: 0
9) A conductor is located between the poles of a permanent magnet. The current in the conductor goes in the direction of the plane of the paper (away from the reader). How is the force acting on the leader directed?
(1/0/0)
a) To the right of the figure
b) To the left in the figure
c) Downwards in the figure
d) Upwards in the figure
10) Protons enter horizontally from the left between two large metal plates at a speed v = 0.80 Mm / s. The plates are connected to a voltage source with the pole voltage U. Between the plates there is a homogeneous magnetic field with a flux density of 38 mT directed perpendicular to the plane of the paper. The distance between the plates is 1.5 cm. They want the protons to continue with unchanged direction and speed between the plates. Which of the plates should be connected to the positive pole of the voltage source and how large should the voltage U be?
(0/2/0)
Number of words: 0
11) The magnetic flux Φ through a 700-speed coil decreases linearly with time according to the diagram below. Calculate the voltage across the coil at time t = 1.0 ms.
12) The current in a coil with an inductance of 35 mH has a growth rate of 6.2 A / s at a given moment. What is the instantaneous value of the ems induced in the coil?

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subgame perfect Nash equilibrium?
Question 3: In which situations should we need the mixed extension of a game?
Question 4: Find, if any, all Nash equilibria of the following famous matrix game:
L R
U (2,0) (3,3)
D (3,4) (1,2)
Question 5: What is the difference between a separating equilibrium and a pooling equilibrium
in Bayesian games?
Question 6: Give another name for, if it exists, the intersection of the players’ best-response
« functions » in a game?
Question 7: assuming we only deal with pure strategies, the Prisoner’s Dilemma is a situation
with:
No Nash equilibrium One sub-optimal Nash equilibrium
One sub-optimal dominant profile No dominant profile
Question 8: If it exists, a pure Nash equilibrium is always a profile of dominant strategies:
True False
Question 9: All games have at least one pure strategy Nash equilibrium:
True False
Question 10: If a tree game has a backward induction equilibrium then it must also be a Nash
equilibrium of all of its subgames:
Tr
2/2
Question 11: The mixed Nash equilibrium payoffs are always strictly smaller than the pure
Nash equilibrium payoffs:
True False
Question 12: Which of the following statements about dominant/dominated strategies is/are
true?
I. A dominant strategy dominates a dominated strategy in 2x2 games.
II. A dominated strategy must be dominated by a dominant strategy in all games.
III. A profile of dominant strategies must be a pure strategy Nash equilibrium.
IV. A dominated strategy must be dominated by a dominant strategy in 2x2 games.
I, II and IV only I, II and III only II and III only
I and IV only I, III and IV only I and II only
Question 13: A pure strategy Nash equilibrium is a special case of a mixed strategy Nash
equilibrium:
True False
Question 14: Consider the following 2x2 matrix game:
L R
U (3,2) (2,4)
D (-1,4) (4,3)
The number of pure and mixed Nash equilibria in the above game is:
0 1
2 3
Exercise (corresponding to questions 15 to 20 below): assume a medical doctor (M)
prescribes either drug A or drug B to a patient (P), who complies (C) or not (NC) with each of
this treatment. In case of compliance, controlled by an authority in charge of health services
quality, the physician is rewarded at a level of 1 for drug A and 2 for drug B. In case of noncompliance, the physician is « punished » at -1 level for non-compliance of the patient with
drug A and at -2 level for non-compliance with drug B. As for the compliant patient, drug A
should give him back 2 years of life saved and drug B, only 1 year of life saved. When noncompliant with drug A, the same patient wins 3 years of life (due to avoiding unexpected
allergic shock for instance), and when non-compliant with drug B, the patient loses 3 years of
life.
Question 15: You will draw the corresponding matrix of the simultaneous doctor-patient game.
Question 16: Find, if any, the profile(s) of dominant strategies of this game.
Question 17: Find, if any, the pure strategy Nash equilibrium/equilibria of this game.
Question 18: Find, if any, the mixed strategy Nash equilibrium/equilibria of this game.
Questions 19 and 20: Now the doctor prescribes first, then the patient complies or not: draw
the corresponding extensive-form game (= question 19) AND find the subgame perfect Nash
equilibrium/equilibria (=

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of CoCl2 . H2O. The hydrate became anhydrous through this.
Suppose a student spilled some of the hydrated cobalt (II) chloride. Describe how this would affect the calculated percent by mass of water (would it be higher, lower or the same) and the experimental chemical formula of the hydrate. [T2]
A possible source of systematic error in this experiment is insufficient heating. Suppose that the hydrate was not completely converted to the anhydrous form. Describe how this would affect: the calculated percent by mass of water and the experimental molecular formula (i.e. would x be higher, lower or the same).

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15.You make very good pizzas, so you decide to sell your pizzas on campus. Since the set up for making ...

pizza is already available to you, the only cost involved is that of making the pizza, which you calculate to be $ 5 per pizza.
a. What is the cost function?
If 10 pizzas are available in a day, the market offers a price of $ 11 per pizza. If 50 pizzas are available in a day, the market offers a price of $ 7 per pizza.
b. Assuming a linear relationship between price and quantity, find the price that the market offers as a function of the number of pizzas available. You start selling the pizzas.
c. What is revenue as a function of the quantity you sell? What is the profit function?
d. What quantity will maximize your profit? Call it q ∗ 1. What is the maximum profit?
e. If somebody is already supplying 5 pizzas every day, What is the maximum profit that you can make?

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chets and sells baby blankets, b. Each blanket requires 3 skeins of yarn, and the total number of skeins Facundo uses, y, varies directly as the number of blankets he crochets, b.
Write an equation that models this relationship.
2. The weight of an object, w, varies inversely as the square of its distance from the center of Earth, d. When an astronaut stands in a training center on the surface of Earth (3,960 miles from the center), she weighs 155 pounds. To the nearest tenth of a pound, what will be the approximate weight of the astronaut when she is standing on a space station, in orbit 240 miles above the training center?
3. The square of g varies inversely as h. When g = 16, h = 2. What is the value of h when g = 40?
4. The number of days, d, it will take Manny to read a book varies inversely as the number of pages, p, he reads per day. If k is the constant of variation, which equation represents this situation?
5. The battery life for Bruhier’s cell phone is longer when he has fewer apps running. When only one app is running, the battery will last for 16 hours. When four apps are running, the battery will only last for 4 hours.

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chases frozen turkeys at a constant wholesale price of $1/turkey, which is its full marginal cost for supplying turkeys. During July, only a small number of wealthy people are interested in buying turkeys in Pilgrim. Their demand curve is P = 10 – .02 Q, where P is Wegboys’ retail price for turkeys during the month and Q is the quantity of turkeys purchased. The demand curve for these wealthy people is constant – it is the same curve in both November and July. During November, a large number of less wealthy people enter the market to purchase turkeys for Thanksgiving. Their demand curve for Wegboys’ turkeys is
P = 4 – .0005Q. In other months of the year, they do not purchase turkeys at any price.
a. (5 points) What price should Wegboys charge in July to maximize its profits? Calculate its profits from turkey sales.
b. (5 points) Demonstrate that Wegboys can earn a higher profit if it lowers its retail price for turkeys during November (you can do this without finding the optimal price). Explain the basic economic intuition.

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etween. *
A
B
D
3. Which shows the following numbers in order from least to greatest? *
B
C
D
4. Which is the best name for this group of numbers? *
A
B
D
5. Which point on the number line best represents √3? *
A
B
C
For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. *
7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. *
8. In which group are the numbers in order from greatest to least? *
B
C
D
9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? *
A
B
C
10. Which is the best name for this group of numbers? *
A
C
D
11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? *
B
C
D
12. Which numbers from this list are less than -0.94? *
B
C
D
13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? *
A
B
C
14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? *
B
C
D
15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

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on a subsample of weekly data from Randall’s Supermarket, one of the biggest in the UK. Randall’s marketing management team wishes to identify trends and patterns in a sample of weekly data collected for a number of their loyalty cardholders during a 26-week period. The data includes information on the customers’ gender, age, shopping frequency per week and shopping basket price. Randall’s operates two different types of stores (convenient stores and superstores) but they also sell to customers via an online shopping platform. The collected data are from all three different types of stores. Finally, the data provides information on the consistency of the customer’s shopping basket regarding the type of products purchased. These can vary from value products, to brand as well as the supermarket’s own high-quality product series Randall’s Top. As a business analyst you are required to analyse those data, make any necessary modifications in order to determine whether for any single customer it is possible to predict the value of their shopping basket.
Randall’s marketing management team is only interested in identifying whether the spending of the potential customer will fall in one of three possible groups including:
• Low spender (shopping basket value of £25 or less)
• Medium Spender (shopping basket value between £25.01 and £70) and
• High spenders (shopping basket greater than £70)
For the purpose of your analysis you are provided with the data set Randall’s.xls. You have to decide, which method is appropriate to apply for the problem under consideration and undertake the necessary analysis. Once you have completed this analysis, write a report for the Randall’s marketing management team summarising your findings but also describing all necessary steps undertaken in the analysis. The manager is a competent business analyst himself/herself so the report can include technical terms, although you should not exceed five pages. Screenshots and supporting materials can be included in the appendix.
Requirements
After completing your analysis, you should submit a report that consists of two parts. Part A being a non-technical summary of your findings and Part B a detailed report of the analysis undertaken with more details.
Part A: A short report for the Head of Randall’s Marketing Management (20 per cent). This should briefly explain the aim of the project, a clear summary and justification of the methods considered as well as an overview of the results.
Although, the Head of Randall’s Marketing Management team who will receive this summary is a competent business analytics practitioner, the majority of the other team members have little knowledge of statistical modelling and want to know nothing about the technical and statistical underpinning of the techniques used in this analysis. This report should be no more than two sides of A4 including graphs, tables, etc. In this report you should include all the objectives of this analysis, summary of data and results as well as your recommendations (if any).
Part B: A technical report on the various stages of the analysis (80 per cent).
The analysis should be carried out using the range of analytics tools discussed:
• SPSS Statistics
Ensure that the exercise references:
• Binary and multinomial logistic regression
• Linear vs Logistic regression
• Logit Model with odds Ratio
• Co-efficients and Chi Squared
• MLR co-efficients
• Assessing usefulness of MLR model
• Interpreting a model
• Assessing over-all model fit with Psuedo R-Squared measures
• Classification accuracy (Hit Ratio)
• Wald Statistic
• Odd ratio exp(B)
• Ratio of the probability of an event happening vs not happening
• Ratio of the odds after a unit change in the predictor to the original odds
• Assumptions
• Residuals analysis
• Cook’s distance
• DfBeta
• Adequacy (with variance inflation factor VIF and tolerance statistic)
• Outliers and influential points cannot just be removed. We need to check them (typo? – unusual data?)
• Check for multicollinearity
• Parsimony
Write a short and concise report to explain the technical detail of what you have done for each step of the analysis.
The report should also cover the following information:
• Any type of analysis that might be useful and check whether the main assumptions behind the analyses do not hold or cannot be
• Give evidence of the understanding of the statistical tools that you are using. For example, comment on the model selection procedure and the coefficient interpretation, e.g. comment on the interpretation of the logistic regression coefficients if such a method is used and provide an example of
• Conclusions and explanation, in non-technical terms, of the main points

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was hoping to see all the work on how these problems would be solved.

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va for a class, including attributes, accessors, mutators, and constructors.
Design and write Java for an application program that instantiates and uses objects of a user-defined class.
Use the repetition structure in class methods and application program modules.
Perform error checking.
Use a graphical drawing program (ArgoUML) to create class diagrams.
Directions for completing and submitting the homework:
You will be submitting the following files:
Task #1:
Pseudocode written with Word, Notepad++, or similar application
Task #2:
Pennies.java
Task #3
Inventory.java
The application class created in 3b below
The UML class diagram created in ArgoUML, Raptor, or similar application
Homework Assignment:
Write the pseudocode needed to complete Chapter 5, number 9 – Pennies for Pay.
Implement Pennies for Pay in Java.
The Secondhand Rose Resale Shop is having a seven-day sale during which the price of any unsold item drops 10 percent each day. Design a class diagram showing the class, the application program, the relationship between the two, and multiplicity. Then write the Java code as described below. Be sure to follow the CSI 117 Style Criteria (Links to an external site.) for naming conventions, class diagrams, pseudocode, keywords, and operators.
An Inventory class that contains:
an item number and the original price of the item. Include the following:
A default constructor that initializes each attribute to some reasonable default value for a non-existent inventory item.
Another constructor method that has a parameter for each data member, called the overloaded constructor. This constructor initializes each attribute to the value provided when an object of this type is instantiated. Be sure to incorporate adequate error checking for all numeric attributes.
Accessor and mutator methods for each attribute. Be sure to incorporate adequate error checking for all numeric attributes.
Extra credit for including Javadoc comments.
An application program that contains two methods: the main() module and the printSaleData()module.
The main()module must do the following:
create an Inventory object using the default constructor
use a loop to get inventory items from the user. The user should enter the item number and the original price of the item. This loop should continue until the user indicates that they have no more items to enter. For each item entered by the user, the code inside the loop should do the following 2 items:
set the attributes of the Inventory object by calling the appropriate method in the Inventory class for each item entered by the user
send the Inventory items, one at a time, to the printSaleData() module for processing
Extra credit for including Javadoc comments.
The printSaleData()module must accept an Inventory object and produce a report that shows the item number and the price of an inventory item on each day of the sale, one through seven, using a loop. For example, an item with an original price of $10.00 costs 10 percent less, or $9.00, on the first day of the sale. On the second day of the sale, the same item is 10 percent less than $9.00, or $8.10.

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survey of all their employees found that employees were required to respond to an average of 50 work-related emails per week with a standard deviation of 1.5 emails per week. However, an employee advocacy group believes the average number of work-related emails Indigo Insurance Company employees are now required to respond to is more than 50 emails per week.
To investigate this further, the employee advocacy group took a random sample of 20 staff employed by Indigo Insurance Company during the second week of March 2018,and asked these employees to record the number of work-related emails to which they were required to respond.
(b). What does the highlighted section of the distribution in Figure 1 represent?
(c). The random sample of 20 employees of Indigo Insurance Company taken by the employee advocacy group turned out to have a mean of 50.8 work-related emails to respond to in that week. Does this sample look like it belongs to the sampling distribution displayed in Figure 1? Justify your answer.
(d). Given the sample was randomly selected and that the number of work-related emails each employee was required to respond to was recorded accurately, what conclusion can we reach from part (c)?
To answer questions (b) to (d), consider the sampling distribution shown in Figure 1.

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e of the largest gun manufacturers in the United States, experienced a 48.5 percent decrease in firearms revenue this quarter compared with the same time last year, The Guardian reports. Sales fell $100 million as a result of what has been called the "Trump slump."
The political climate has influence over gun sales. The expectation of many Americans that Hillary Clinton, the vocal pro-gun-control candidate, was going to win the presidential election in November is considered largely responsible for last year's surge.
People buy firearms at the highest rates when they fear regulations will be enhanced. The mass shooting at an Orlando nightclub shooting in June of 2016 also spurred record sales. According to the FBI's National Instant Criminal Background Check System (NICS), over 27.5 million firearm background checks for gun transactions were processed in 2016. That was over 4 million more than the previous year, and double the number of transactions in 2008."
Based on this article which of the following is true about the supply and demand of guns from 2016 to 2017
A)There was a decrease in demand for guns, and a decrease in the quantity supplied of guns
B)There was a decrease in quantity demanded, and a decrease in quantity supplied of guns
C)There was a decrease in the supply and guns and a decrease in the quantity demanded for guns.
D)There was a decrease in supply and a decrease in demand for guns.

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each type of classification error.
[Note that all bank models here include only profits and losses within three years of when a card is issued, so the impact of out-years (years beyond 3) can be ignored.]
Cost Per False Negative: $5000
Cost Per False Positive: $2500
For the 600 individuals that were automatically given cards without being classified, the total cost of the experiment turned out to be 25%*($5000)*600 or $750,000. This is $1,250 per event.
Only models with lower cost per event than $1,250 should have any value.
Question: What is the threshold score on the Training Set data for your model that minimizes Cost per Event? You will need this number to answer later questions.
Hint: Using theAUC Calculator Spreadsheet, identify which Column displays the same cost-per-event (row 17) as the overall minimum cost-per-event shown in Cell J2. The threshold is shown in row 10 of that Column. What the threshold means is that at and above this number everything is classified as a "default."

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B's, two C's, and one F can be distributed among 7 students taking a course in statistics.

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26.2. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value ...

s of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
5. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
9. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
22. What is the greatest value of c for which the roots of the equation x^2 + 4x + c = 0 are real?
24. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
7, 24 and 25
A._________________ (smaller value)
B._________________ (larger value)

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27. 1. What is the greatest value of c for which the roots of the equation x^2 + 4x + ...

2. Find the two acute angles in the right triangle whose sides have the given lengths. Express your answers using degree measure rounded to two decimal places.
A._______________________ (Smaller Value)
B. _______________________ (Larger Value)
3. A flagpole casts a shadow 200 feet long. At the same time, a boy standing nearby who is 5 feet tall casts a shadow 20 feet long. Find the number of feet in the height of the flagpole.
4. If (k, 3) is a point on the line whose equation is 4x + y = -9, what is the value of k?
5. If 8 ounces of a sports drink contains 130 milligrams of sodium, what is the total number of milligrams of sodium in 20 ounces of the sports drink?
6. If the mean of the numbers 9, 10, 11, 12, and x is 12, what is the value of x?

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28. Value: 1 equation image indicator a. (x - 2)2(x - 3)2 b. (x2+ 4)(x2+ 9) c. (x - 2)(x + ...

2)(x - 3)(x + 3)
d. (x2 - 4)(x2+ 9)
Value: 1
The table below shows the cost of purchasing a standard stapler at five office supply stores, A through E. If the median cost of purchasing a standard stapler for these stores was $17.99, which of the following could NOT have been the cost of the stapler for Store A?
staplergraph.jpg
a. $19.95
b. $18.95
c. $16.95
d. $19.25
Value: 1
If equation image indicator then x =
a. 7
b. 1/5
c. 5
d. 1/7
Value: 1
A six−sided die, with sides numbered 1,2, 3,4,5, and 6, is tossed. What is the probability of tossing a number less than three?
a. 1/3
b. 0
c. 1/2
d. 1/4
Value: 1
If 6m + 4 = 8m, then 4m =
a. 6
b. 2
c. 8
d. 4
Value: 1
In the xy-plane, what is the y-intercept of the graph of the equation equation image indicator?
a. 2
b. 4
c. 16
d. There is no y-intercept.
Value: 1
Which of the following equations has both 2 and −4 as solutions?
a. x2 + 6x + 8 = 0
b. x2 - 2x - 8 = 0
c. x2 + 2x - 8 = 0
d. x2 - 2x + 8 = 0
Value: 1
The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure?
a. 22
b. 28
c. 35
d. 40
Value: 1
(3x-2y4)-3 =
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
A softball is tossed into the air upward from a first floor balcony. The distance of the ball above the ground at any time is given by the function, distance function.png, where h(t) is the height of the softball above the ground (in feet) and t is the time (in seconds). What was the maximum height, in feet, of the softball above the ground after it was thrown?
a. 28
b. 30
c. 32
d. 34
Value: 1
A group of 100 people, some students and some faculty, attended a museum opening. Each student paid $10 per person for entrance to the museum and each of the faculty paid $25 per person for entrance. If the total paid, for all 100 people, was $1300, how many students attended the museum opening?
a. 20
b. 50
c. 70
d. 80
Value: 1
The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank?
a. 21
b. 15
c. 19
d. 9
Value: 1
In the xy−coordinate plane shown below, point P has coordinates (8, −6). Which of the following is an equation of the line that contains points O and P?
O and P graph.jpg
a. equation image indicator
b. equation image indicator
c. equation image indicator
d. equation image indicator
Value: 1
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
a. 54
b. 6
c. 2/3
d. 3/2
Value: 1
A farmer has 1235 trees to be planted on a rectangular parcel of land. If there are 24 trees planted in each row and each row must be complete before it is planted, how many trees will be left over after planting?
a. 21
b. 11
c. 0
d. 55

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ean population in the High Middle Ages?
The number of people almost doubles from 38 million to 74 million people.
List two reasons for the change in population during this time.
Conditions in Europe were more settled and peaceful after the invasions of the early Middle Ages had stopped. Food productions increased because a change in climates improved growing conditions.
What two inventions for the horse made it possible to plow faster?
A new horse collar and the use of the horseshoe.
Define the term manor.
A manor was an agricultural estate run by a lord and worked by peasants.
What three ways did serfs pay rent to their lords?
By giving the lords a share of every product they raised, paying for the use of common pasture lands and turning over a part of the can't from ponds and streams.
Name the three great events celebrated by feasts within the Christian faith.
Christmas (celebrating the birth of Christ), Easter (celebrating the resurrection of Christ), and Pentecost (celebrating the descent of the Holy Spirit on Christ's disciples 50 days after His resurrection).
What two features changed the economic foundation of Europe?
A revival of trade and an associated growth of towns and cities.
For what two reasons did merchants build a settlement rear a castle?
Because it was located along a trade route and because the lords of the castle would offer protection.
By 1100, What four rights were townspeople getting from local lords?
The right to buy and sell property, freedom from military service to the lord, a law guaranteeing the freedom of the townspeople, and the right for an escaped serf to become a free person after living a year and a day in the town.
Describe the environment of medieval cities.
The cities were dirty and smelled from animal and human waste. Air was polluted from wood fires. Water was polluted as well.
What three steps did a person complete to become a master in a build?
He first became an apprentice to a master craftsperson. After 5-7 years he became a journeyman and worked for wages. Upon completing a masterpiece which was judged, he/she could be declared a master and join a guild.

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is a multiple of three or greater than eight.
A certain game consist of rolling a single fair die and pays off as follows nine dollars for a six, six dollars for a five, one dollar for four and no payoffs otherwise.Find the expected winnings for this game.
A fair die is rolled four times. A 6 is considered success While all other outcomes are failures find the probability of three successes.
A pet store has nine puppies including 4 poodles 3 terriers and 2 retrievers. If Rebecca an errand in that order each select one puppy at random without replacement find the probability that Aaron select a retriever given that from last Rebecca selects a poodle.
Experience shows that a ski lodge will be for (166 guests) if there is a heavy snowfall in December, well only partially full (52 guests) With a light snowfall. What is the expected number of guests if the probability for a heavy snowfall is 0.40? I assume that heavy snowfall and light snowfall are the only two possibilities.
A pet store has six puppies Including two poodles two Terriers and to retrievers. If Rebecca and Aaron in that order each select one puppy random with replacement (They both may select the same one) Find the probability That Rebecca selects a terrier and Aaron selects a retriever.
Three married couples arrange themselves randomly in six consecutive seats in a row. Determine (A) the number of ways the following event can occur, And (B) the probability of the event. (The denominator of the probability fraction will be 6!=720, The total number of ways to arrange six items ). Each man was that immediately to the right of his wife.
A coin is tossed five times. Find the probability that all our heads. Find the probability that at least three are heads.
A certain prescription drug is known to produce undesirable facts and 35% of all patients due to drug. Among a random sample of a patient using a drug find the probability of the stated event. Exactly 5 have undesired effects.
10,000 raffle tickets are sold. One first prize of 1600, for second prizes of 800 each, And 9/3 prizes of 300 each or to be awarded with all winners selected randomly. If you purchase one ticket what are your expected winnings.
Suppose a charitable organization decides to Raise money by raffling A trip worth 500. If 3000 tickets are sold at one dollar each find the expected net winnings for a person who buys one ticket. Round to the nearest cent
Three men and seven women are waiting to be interviewed for jobs. If they are selected in random order find the probability that all men will be interviewed first
A fair diet is rolled. What is the probability of rolling on our number or a number less than three.
The pet store has 15 puppies, including five poodles, five Terriers, and five retrievers. If Rebecca and Aaron, in that order, select one puppy at random without replacement, find the probability that both select a poodle
Beth is taking a nine question multiple-choice test for which each question Has three answer choices, only one of which is correct. Beth decides on answering By rolling a fair die And making the first answer choice if the die shows one or two, The second If the die shows three or four, and the third if the die shows five or six. Find the probability of the stated event. Exactly 6 correct answers
For the experiment of drawing a single card from a standard 52 card deck find (a) the probability and (b) the odds are in favor that they do not drive six

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s, you run the following re- gression on a sample of 65 countries for the year 2012:
books = 8.2314 + (1.0329)
+ 0.3149 age (0.4111)
8.1391 (0.5812)
?
income
4.8121 (0.3543)
+
ereaders,
3.4125 educ (0.7314)
where books is the number of paperback novels purchased in 2012, income is per capita GDP in 2012, educ is the average number of years of education for the population in 2012, age is the average age of the population in 2012 and ereaders is the number of electronic readers (e.g. Kindles) sold in 2012. The numbers in parentheses refer to standard errors corresponding to the estimated coefficients. You also find that R2 = 0.7231 and SSR = 1, 231.
(a) Which of the slope coefficients are statistically different from zero at the 5% level of significance? Perform statistical tests to answer this question. [8 marks]
Solution: Each test carries 2 marks. t ratios are: 14.0039, 4.66, 0.7659, -13.5819. The 2.5% critical value for a tn?k=65?5=60 distribution can be seen to be 2.0000, implying that all coefficients except the one on age are significant.
(b) Does the intercept have a plausible interpretation? Explain briefly. [4 marks]
Solution: The intercept indicates that demand for paperback novels equals 8.2314 when income, educ, age and ereaders all equal zero. Clearly this is not plausible.
(c) Construct a 95% confidence interval for the coefficient on age. [8 marks]
Solution: CI is given by [bage

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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

mathematicsalgebra Physics