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definition of derivative, determine whether
f(t) =1,t≤0
1/2(t+ 5),0< t≤1 is differentiable at t= 1
√t+ 2, t >1
3. FM Corporation is a company that manufactures face masks. For everyxthousand pieces of facemask sold, the company’s revenue (in thousand pesos) isR(x) =x(5 +x),x≥0.
a. If the company soldxthousand pieces of face mask, find the company’s marginal revenue.Note: Marginal revenue is the increase in revenue that results from the sale of one additionalunit of output.
b. Find the number of face mask sold if the company has a marginal revenue of Php 25,000.

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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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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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is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer (i) Q×Z and R×Z (ii) R−ZandQ (iii) {−x|x∈Z}andZ (iv) {x^2 |x∈Z}andZ

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b is number that can be binary system, decimal system, hexadecimal system.
2. For each of the following pairs of sets, determine if they are disjoint, equal, one is a proper subset of the other, or none of the above. Provide evidence for your answer
(i) Q×Z and R×Z
(ii) R−ZandQ
(iii) {−x|x∈Z}andZ
(iv) {x^2 |x∈Z}andZ

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q → r) and q → (p ∨ r).
Q2. Write the converse, inverse and contrapositive of the statement:
“I will score marks whenever I will study”.
Q3. Convert the following compound propositions into English sentences for given
p: It is below freezing.
q: It is snowing.
(i) ¬q → ¬p
(ii) ¬q ∨ (¬p ∧ q )
(iii) p ↔ ¬q
(iv) p ∨ q
(v) ¬q ∧ ¬p
Q4. Determine whether each of the statements is true or false.
(i) If 1 + 1 = 2, then 2 + 2 = 5.
(ii) If 1 + 1 = 3, then 2 + 2 = 4.
(iii) If 1 + 1 = 3, then dogs can fly.
(iv) Monkeys can fly if and only if 1 + 1 = 3.
(v) A number is prime if and only if it is divisible by 1 and itself.

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shows the relationship between the number of positive reviews and the number of items sold. The linear regression output is shown below.

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9.Alfonso and Gracie have decided to join a gym! Gracie found a gym that costs $20 to join and ...

s $4 per class. Alfonso found a gym that costs $34 to join but only $2 per class.
Solve the system algebraically to determine the number of classes at which the gyms would cost both Gracie and Alfonso the same amount.

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price, the number sold per week increases by 20. The cost of smoothies is given by
C(x)= 25+ 0.12x + 0.001x^2
Determine the MARGINAL PROFIT when 200 smoothies are sold.

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11.(a) A 20.0 L container at 303 K holds a mixture of two gases with a total pressure of 5.00 ...

here are 2.00 mol of Gas A in the mixture, how many moles of Gas B are present? (R = 0.0821 L • atm/(K • mol))
(b) The gas in a 250. mL piston experiences a change in pressure from 1.00 atm to 2.80 atm. What is the new volume (in mL) assuming the moles of gas and temperature are held constant?
(c) Small quantities of Oxygen can be produced by the decomposition of mercury(II) oxide as shown below. Typically, the oxygen gas is bubbled through water for collection and becomes saturated with water vapor. Atomic weight of HgO = 216.6 amu, Atomic weight of Oxygen = 32.00 amu)
2 HgO(s) → 2 Hg(ℓ) + O₂(g)
(i) Assuming that 3.05 grams of HgO was used in this reaction, determine the number of moles of oxygen gas formed.(According to the above chemical equation)
(ii) Assuming 310. 0 mL of Oxygen gas was collected at at 29°C, calculate the pressure of the Oxygen gas that was collected. (R = 0.0821 L • atm/(K • mol)
(iii) If the vapor pressure of water at this temperature equals to 0.042 atm, calculate the pressure reading of this experiment.

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0 each. Carter has $35 to spend and must buy a minimum of 15 cupcakes and cookies altogether. If xx represents the number of cupcakes purchased and yy represents the number of cookies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Inequality 1:
Inequality 2:
graph it

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rential equation:
dy / dt = py (100000 - y)
Where: y is the number of infected people at time t (measured in weeks) and p = 0.00001. If 10 people were ill, determine y as a function of t. How long will it take before half the population is infected?

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the number of ways the team can form a line-up of three forwards, two defenders, and one goalie.

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function
C = 65t + 30
where t is the time in months.
(a) Calculate the gym membership cost over a six month period.
(b) Sketch the graph of the function C = 65t + 30 for t ≥ 0.
(c) Calculate the time, t, in months, when the total cost reaches 290 AUD.
In the neighbouring Nicolo’s Gym, the initial payment is 75 AUD higher than in
Paolo’s Gym, however the monthly fee is lower at 30 AUD per month.
(d) Determine the number of months it takes for the total cost to be less by
attending Nicolo’s Gym in comparison to Paolo’s Gym.

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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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average rate of 1.1% since then, how many years later would the population arrive at 102.000 people? Give your answer as a number only, to the nearest tenths
Question 3
In a bag containing 5 red, 2 blue, 8 clear, and 1 purple marble, what is the probability of picking a blue marble, then without replacement, choosing a red marble on the second pick? (Leave in simplified fraction form.]
Question 11
Poaching is causing a population of elephants to decline by 6% per year. Determine how many elephants remain in 76 years if there are 13,365 elephants today. Round to the nearest whole number.

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boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet. There were twice as many small boxes shipped as large boxes shipped and the total volume of all boxes was 168 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

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time a bag of chips remains fresh on the grocery shelf. A random sample of potato chips with the old design of the bag was compared to a random sample of potato chips with the new bag. Summary statistics pertaining to the number of days the chips remained fresh are given below. At a 95% level of confidence (α = .05), the company wishes to investigate if the new bag has an increased freshness time over the old bag.
Summary Statistics
New Bag Old Bag
(Sample #1) (Sample #2)
Sample Mean 21.2 days 20.8 days
Sample Standard Deviation 2.5 days 2.8 days
Sample Size 45 50
What is the correct Null and Alternate Hypothesis?
Select one:
a. H_0: \mu_d>0\;\; H_1: \mu_d < 0
b. H_0: \mu_1>\mu_2 \;\;H_1:\mu_1 \leq \mu_2
c. H_0: \mu_d =0\;\; H_1: \mu_d < 0
d. H_0: \mu_1\leq\mu_2 \;\;H_1:\mu_1 > \mu_2

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u decide that you should sell at least thirty items, but do not want to exceed 120 items. Based on a small survey of students, you also decide that the number of T-shirts should be at least twice the number of sweatshirts.
A. Assign variables to the unknown quantities and write a system of inequalities that model the given restrictions.
B. Graph the system, indicating an appropriate window and scale and shading the feasible region.
C. Determine the vertices of the polygonal feasible region.
D. Assume the profit on each sweatshirt is $5 and the profit on each T-shirt is $2. What is the maximum profit you can obtain?
E. How many sweatshirts and how many T-shirts should you sell to maximize your profit?

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im joists (joist headers).
b. Determine the number of 4-foot by 8-foot sheets of OSB sheathing required to clad the floor shown in the previous question.

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vitamin A, 0.08 units of vitamin B, and 0.04 units of vitamin C. One gram of Food contains 0.03 units of vitamin A, 0.06 units of vitamin B, and 0.04 units of vitamin C. One gram of Food 3 contains 0.01 units of vitamin A, 0.02 units of vitamin B, and 0.06 units of vitamin C. Determine the number of grams of each type of food that must be eaten to exactly meet the daily vitamin requirements. Use augmented matrix.

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23.In Activity 1.4, we saw that when there are 4 players there will be 6 matches and when there are ...

layers, there will be 10 matches. Note also that when there are two players, there will be only 1 match and when there are 3 players, there will be 3 matches. This same principle may be applied to a room full of people shaking hands with one another. If there are 2 people, there will be 1 handshake, 3 people, 3 handshakes, and so on. If I were to tell you that if there are 6 people, there will be 15 handshakes, set up a sequence with the number of handshakes for 2, 3, 4, 5, and 6 people in the room. (2 marks)
Examine the sequence above and determine how many handshakes will take place if there are 7, 8,or 9 people in the room and each person shakes hands with every other person. (3 marks)

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ticket sells for $7 and each adult ticket sells for $10.50. The auditorium can hold no more than 110 people. The drama club must make no less than $840 from ticket sales to cover the show's costs. If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.

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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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m 2
After graduating from AUD, Salman plans to start a book publishing company in the Media City. He did some research and found that the printer will cost Dh 230,000. He estimated that the variable cost per book is Dh 170 and the selling price is Dh 390.
a. How many books must he sell to break even? Also calculate the breakeven in dirham.
b. In addition to the costs given above, if he wants to pay himself a salary of Dh 15,400 per year, what is her breakeven point in units and dirham?
c. In the first three months of his business, he sold 400 books. Suddenly the printer breaks down. He spent Dh 25000 to fix the printer. In addition to 400 books sold, how many more books she should sell to breakeven? Assume that this part of the question is independent, and she does not draw any salary.
Problem 8
A furniture store makes tables and chairs from plywood and glass. The store has 30 units of plywood, 24 units of glass. Each table requires 7 units of plywood three units of glass, whereas each chair requires three units of plywood and two units of glass. The demand for chairs is between 2 and 4. The ratio between the table and chair is at least 1 to 2. A table earns $225 in profit and a chair, $145. The store also wants a minimum profit of $5000. The store wants to determine the number of tables and chairs to make in order to maximize profit. Formulate a linear programming model for this problem

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ine the number of large bottles that would hold the same amount as 10 1/2 small bottles.

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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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ervations.
b) the width of each class.
c) the midpoint of the second class.
d) the modal class (or classes).
e) the class limits of the next class if an additional
class were to be added.
Class
Frequency
11 minus 15
1
16 minus 20
9
21 minus 25
1
26 minus 30
8
31 minus 35
5

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$4.25 Penelope spent $16.50 altogether at the carnival and the number of games you played is four times the number of fried she went on right a system of equations that can be used to determine the number of games Penelope played in the number of rides Penelope went on define the variables that used to ride the system

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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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32.what group of organisms will determine the total number of organisms that can live in a given area?

ees with at least one dependent. Format the results in Accounting Number Format.

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C'(t) = -1.2e^-.01t, where t is the number of hours after injection.
A. How fast is the lidocaine changing after 3hrs.
b. If the originial dose was 5milligrams/mL, determine the formula for the concentration of lidocaine in the first t hours.

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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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y to solve it:
In a set of sixteen numbers the mean was thirty-nine. When a number is removed from the set, the mean of the remaining numbers is fifty-two. Determine the number that was removed.

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

mathematicsalgebra Physics