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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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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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s him about the same time to assemble. He figures he has time to make at most 18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.
Using the information in the problem, write the constraints. Let x represent number of bookcases, and y represent number of TV stands.

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. I'm really close to completing it and I'm really stuck on this one situation and I don't know how to solve it. So right now I'm making a guessing game and every time you play the program tells the user how many guesses it took for them to get the answer. And what I need to do is to make sure that I get and isolate the lowest amount of guess and put it into the statistics function so that way it can print out the lowest amount of guesses that I got. Right now it isn't working and I really don't know why as it seems to be mostly adding up all the guesses until the last few. Here's my code:
#include
#include
#include
#include
void haiku(){
printf("Welcome to the game.\n");
printf("Guess a number within range.\n");
printf("Win cool prizes here.\n\n");
}
int compare(int guessiso){
int lowestvalue=0;
int biggervalue=0;
if(guessisooperand){
printf("It's lower.\n");
count++;
isolatedcount++;
}
else if(user0){
lowguess=compare(x);
x=one_game(count);
count=x;
printf("Do you want to play again?\n");
scanf("%d",&usertwo);
userthree=usertwo;
gamecount++;
}
statistics(gamecount,x,lowguess);
}

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s.
d = 14h
The variable h represents the number of hours spent doing yard work, and the variable d represents the amount of money earned. How many hours in all will it take Kevin to earn $14?

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units.
Chemical Equation: Write a generic chemical equation for the dehydration of cobalt (II) chloride ∙ x hydrate (include the state symbols of the reactant and two products). [T2]
Mass of Reactants and Products:
a) Calculate the initial mass of the hydrated cobalt (II) chloride. [T1]
b) Calculate the final mass of the anhydrous cobalt (II) chloride remaining in the cruiio8icible. [T1]
c) Calculate the mass of water given off by the sample of hydrated cobalt (II) chloride. [T1]
Moles of Products:
a) Calculate the moles of anhydrous cobalt (II) chloride remaining in the crucible. [T1]
b) Calculate the moles of water released from the hydrate. {T1]
4. Mole Ratio
a) Create an experimental mole ratio between the b) and a). [T1]
5. Formula of Hydrate: State the chemical formula you have determined for this hydrate.
Round the formula to the closest whole number value for x. [T1]
Discussion/Conclusion Questions: [T6]
Based on the chemical formula of the hydrate, calculate the percentage composition (percent by mass) of the hydrated cobalt (II) chloride. Remember to determine the percentage of each element (Co, Cl, H, and O). [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).
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]

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ng set of instructions: From point P the object moves right to Q, then left to R, then right to S, and finally left until it returns to its original position at P. What is the closest estimate of the total length, in coordinate units, of the movements this object makes?

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as but does not have 8 valence electrons. The highest energy level of elbon (E) is its second energy level. Of these noble gases, diddee (Di) has the greatest atomic mass.
The alkali metals are sogo (So), zinn (Z), susu (Su), and squinto (Sq). Of these alkali metals, susu (Su) has the lowest atomic mass. Squinto is in the same period as diddee (Di).
The halogens are pertca (Pe), plutania (Pl), and swipp (Sp). Plutania (Pl) is in the same period as squinto (Sq) and diddee (Di).
The metalloids are yonon (Y), technaut (Tc), nutzat (Nu), and burnott (Bu). Burnott (Bu) is the metalloid with the highest atomic mass. Yonon (Y) is the metalloid with the lowest atomic mass. Technaut (Tc) and nutzat (Nu) are in the Group IV. Nu has more protons than Tc. The element called canz (Cz) is a metalloid by location but has properties that suggest it is a light metal.
The most metallic element on this planet is called sogo (So). The most chemically active nonmetal on the planet is called pertca (Pe). The lightest element on the planet is called zoop (Zp). The heaviest element on this planet is odarla (Od). It is highly radioactive.
The chemical makeup of the alien planet’s oceans seems to be about the same as Earth’s oceans. When seawater is distilled, the liquid that is boiled off and then condensed has been shown to have molecules consisting of two atoms of zoop (Zp) and one atom of Yubique (Yu). The solid left behind after the distillation consists mainly of a crystal made up of the elements zinn (Z) and swipp (Sp).
Alfurr (A), uz (Uz), and yubique (Yu) all gain two electrons. Yubique is diatomic. Uz has a smaller atomic number than alfurr.
The element blube (Bl) has only four protons in its atom.
Burgham (Bg) is a black crystal and has four electrons in its outermost energy level.
Both gurline (G) and bonji (Bo) have atoms with four energy levels, but gurline the less metallic of the two.
Tozzie (To), hailen (H), and burnott (Bu) are all members of Group V. Hailen has fewer total electrons than tozzie.
The element motana (M) tends to lose 3 electrons. The elements piddy (Pi) and klobb (Kl) both lose 2 electrons. Klobb loses them from its fifth energy level, while piddy loses them from its third.

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11.You are given a set of five and a set of seven contiguous boxes as shown in the figures above. ...

task is to move all the reds from the left to the right and all the blacks from the right to the left. The middlebox is empty to allow moves.
The moves follow strict rules.
Rule # 1: the reds can only move to the right and the blacks can only move to the left. No backward moves are allowed
Rule # 2: Equally applicable to the black and the reds, each dot can only move one step forward in the box in front of it is empty, and can skip the contiguous box is occupied by a different colored dot to the following box if empty.
While moving your pieces, carefully record all the moves you made. Start first with the 5-boxes set, then the 7-boxes set
Try the same rules for a 9-boxes set and then for an 11-boxes set. Record all your moves on paper
Examine all four cases and find a pattern that relates the number of moves to the number of dots. Explain how you arrived at this conclusion
Create a general formula that will give the number of moves based on the number of dots regardless of how many dots you have.

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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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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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inions about an upcoming building project, the college president wishes to obtain a simple random sample of 8
students. He numbers the students from 1 to 7663
.
Complete parts (a) and (b) below.
LOADING...
Click the icon to view the random number table.
(a) Using the provided random number table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row 2, column 4. Using this position as the starting point and proceeding downward, determine the numbers for the 8
students who will be included in the sample.

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between the number of wheels on a train and the number of cars being pulled by the engine of the train. Note: (All the cars have the same number of wheels but the engine at the front is different) . for exapmle: the train has an engine with four wheels on each side (total of 8) and the cars have 2 (total 4) on each side.
Determine the number of wheels the engine has by finding the number of wheels on each car, and then the initial value of this relationship.

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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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oups were used (lawyer, physical therapist, cabinetmakers, and system analysts). The results obtained for a sample of 5 individuals from each groups. Using the "ANOVA Output" below, please answer the following questions ( Use the significance level 5%).
Q1. The value of the test statistic is ____________
QUESTION 2
Q2. The p- value of the test is _________________
QUESTION 3
Q3. At the 5% significance level, the null hypothesis is rejected if the value of the F statistics is >= _________________
QUESTION 4
Q4. Interpret the ANOVA result at the 5% significance level. Is there any difference in the job satisfaction among the four occupational groups? Answer either yes or no. Explain the reason of your answer statistically.
QUESTION 5
Data from a Trucking Company is Southern California were utilized to examine the relationship among total daily travel time (y), miles to traveled (X1), and the number of deliveries (x2). Based on the "Regression Output" below, please answer the following questions.
Q5. The number of sample used in this regression analysis is______________
QUESTION 6
Q6. What is the value of the coefficient of determination?
QUESTION 7
Q7. What is the F test statistic value for the regression model significane test?
QUESTION 8
Q8. What is the predicted travel time for X1 =95, and X2= 6?
QUESTION 9
Q9. Is X2 (number of deliveries) related to Y (travel time)? Answer either yes or no. Explain the reason of your answer statistically.
ATTACHED ARE GRAPHS

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ttles. The bill includes a shipping charge that must be allocated to each of the different types of bottles based on the number of cases. Allocate the shipping charge to each type of bottle, and calculate the revised cost per case of each type of bottle. Do this in excel and email us your worksheet.

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hooses a card and gets a number. Each spinner outcome is numbered 1-8. If the player's card choice is equal to the spinner outcome they win a $5. If the card number is over the number on the spinner, they win $2. If the roll is under the number on the spinner, they win $1. If the player chooses the card Ace, or they land on 1, they will win nothing.
I have to figure out the Theoretical probabilities table for this example but I do not know how, please help!!

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t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
Morning
Evening
Multiple Choice
Short Answer
Multiple Choice
Short Answer
66
74
70
45
64
55
80
55
72
77
78
55
70
57
84
60
61
58
64
70
67
69
84
60
70
63
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]

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t way to do that would be to investigate her students’ test performance in a number of ways.
The first thing she did was separate her students’ test scores based on the time of day she held her lectures (morning vs evening). Next she recorded the type of test students were writing (multiple choice vs short answer). She selected a random sample of students from her morning (n = 6) and evening (n = 7) classes (total of 13) and recorded scores from two of their tests as shown below.
DATA Set 1:
Good morning sunshine. Is Time of Day important?
1. Prof. Maya recently read an article that concluded students retained more information when attending classes in the morning. Based on this finding she thought students in her morning class might have performed differently on their Short Answer test scores when compared to students in her evening class. Does the data support her hypothesis? [15 points]
Multiple Guess! Does Exam Type matter?
2. Prof. Maya also knew that students often did better on multiple-choice tests because they only have to recognize the information (rather than recall it). Given this, she thought students attending the morning class might perform differently on the Multiple-Choice test when compared to the Short Answer test. Does the data support her hypothesis? [15 points]
DATA Set 2:
We’ll try anything once. Does the new Tutorial Plan work?
3. Combining all of her students (and ignoring time of day), Prof. Maya asked her TAs to try a new – and very expensive - tutorial study plan. She then chose a random sample of 20 students to receive the new study plan and another sample of 30 to continue using the old study plan. Following an in-class quiz, she divided the students into 3 levels of achievement (below average, average, and above average), and then created the frequency table below. Does the new expensive tutorial study plan improve student performance? [15 points]
Below average
Average
Above Average
New plan
7
7
6
Old plan
6
15
9
DATA Set 3:
How are YOU doing?
4. Finally, Prof. Maya thinks that her 2018 class is doing better than her 2017 class did. She decided to collect a sample of test scores from the students in her course this year (combining all of the groups) and compare the average with her previous year’s class average. Does the data support her hypothesis? [15 points]
The 2017 class average = 63%
The 2018 sample size = 25
The 2018 sample standard deviation = 11
The 2018 sample average = use your actual midterm mark (yes, you the student reading this :)
Bonus: What does it all mean?
5. Bonus: IF Prof. Maya had complete control of how and when she ran her course in 2018, considering all the info you just found in the 3 data sets, write a brief statement of how you would recommend she set-up the course next year – and explain why. [5 points]

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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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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.

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36 Using your knowledge of probability, why should Nizar have known that his answer was NOT correct and gone back to review his calculations?
2. A four-colored spinner was spun 80 times. The spinner landed on green 15 times, yellow 30 times, blue 10 times, and red 25. Based on this data, what is the experimental probability of the spinner landing on green? (Write your answer as a fraction in lowest terms.)
3. If the probability that a certain mechanical part in your new car will fail this year is 0.05, what is the probability that the mechanical part will not fail this first year?
4. A coin is loaded so that the probability of getting tails is 1/4. If the coin is flipped twice, what is the probability of getting tails twice?
5.If a 6-sided die is tossed and then a coin is flipped, what is the probability that an odd number is rolled and the coin lands on heads?
6.A field goal kicker makes 3 of every 7 attempts at a field goal. If he kicks 4 field goals in a certain game, what is the probability that he'll make all four? (Write your answer as a fraction in lowest terms.)

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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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30.Hi! I need help with my Netlogo homework, where I need to have turtles create an image of a tree. ...

sically, Tree 1 is just a vertical line, Tree 2 is that line plus two branches, Tree 3 is Tree 2 but with two additional branches on each of the original ones, and so on. Please help! I don't understand how recursions are supposed to be used with this and how to call a previous tree function. Below are additional instructions my teacher gave me.
draw-tree3 [ levels blen bangle]
levels : number of levels
blen : length of each branch
bangle : angle of the branches
The branch length should decrease as the function calls itself. This does NOT mean you decrease a variable, it means that just like fib(n-1) or fib(n-2) you decrease the parameter as you pass it to the next copy.
----Your slider is the STARTING value, the parameter can be changed every time your function is called.
Have the branch decay by multiplying by 0.85 before passing it to the next recursive call.
-When this works, try making the branch decay a slider from 0.1 to 0.9 in increments of 0.01

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with a mean of 25 gm and a standard deviation of 5 gm.
(a) If the machine is used 500 times, approximately how many times will it be expected to dispense 30 gm or more of chilli sauce?
(b) How can you decrease this number to half? Give a numerical answer.
2. StarTech manufactures re sensors. They use a protective screen for their sensors to protect it from dust. The sensor becomes useless if the thickness of the screen exceeds 0.5 mm. They outsource the production of the screen to a di erent company that claims to manufacture screens with a mean thickness of 0.3 mm and a standard deviation of 0.1 mm.
(a) If 10000 screens are manufactured how many will be discarded because they are too thick?
(b) If screens less than 0.2 mm are too thin to be used, what is the probability that screens manufactured by the above company will be discarded because they are too thick or too thin? Show the result on a graph.
3. The amount of time that Sam spends playing the guitar is normally distributed with a mean of 15 hours and a standard deviation of 3 hours.
(a) Find the probability that he spends between 15 and 18 hours playing the guitar during a given week.
(b) What is the probability that he spends less than 3 hours playing the guitar during a given week?
4. Soon after he took oce in 1963, President Johnson was approved by 160 out of a sample of 200 Americans. With growing disillusionment over his Vietnam policy, by 1968 he was approved by only 70 out of a sample of 200 Americans.
(a) What is the 90% con dence interval for the percentage of all Americans who approved of Johnson in 1963? In 1968?
(b) What is the 90% con dence interval for the change?

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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