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Finite Mathematics, Loose-leaf Version
7th Edition
ISBN: 9781337291262
Author: Stefan Waner, Steven Costenoble
Publisher: Brooks Cole
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Chapter 4, Problem 22RE
To determine
To calculate: The solution of the game with the payoff matrix
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Consider the grades for the math and history exams for 10 students on a scale from 0 to 12 in the following table.
Student
Math
History
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4
8
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9
3
7
9
4
12
10
5
10
8
6
8
5
7
9
6
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9
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9
11
9
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7
10
Compute the Spearman correlation coefficient. Round your answer to three decimal places.
Q4
3 Points
1
Let A =
2
3 7
5 11
Give one nontrivial solution X of the homogeneous system Ax = 0. (Your
vector x should have explicit numbers as its entries, as opposed to variables/parameters). Show
your work for how you found it.
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To compare two elementary schools regarding teaching of reading skills, 12 sets of identical twins were used. In each case, one child was selected at random and sent to school A, and his or her twin was sent to school B. Near the end of fifth grade, an achievement test was given to each child. The results follow:
Twin Pair
1
2
3
4
5
6
School A
169
157
115
99
119
113
School B
123
157
112
99
121
122
Twin Pair
7
8
9
10
11
12
School A
120
121
124
145
138
117
School B
153
90
124
140
142
102
Suppose a sign test for matched pairs with a 1% level of significance is used to test the hypothesis that the schools have the same effectiveness in teaching reading skills against the alternate hypothesis that the schools have different levels of effectiveness in teaching reading skills. Let p denote portion of positive signs when the scores of school B are subtracted from the corresponding scores of school…
Chapter 4 Solutions
Finite Mathematics, Loose-leaf Version
Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - In Exercises 110, find the dimensions of the given...
Ch. 4.1 - Solve for x,y,z,andw. [HINT: See Example 1.]...Ch. 4.1 - Prob. 12ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 14ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 29ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Inventory The Left Coast Bookstore chain has two...Ch. 4.1 - Inventory The Left Coast Bookstore chain discussed...Ch. 4.1 - Profit Annual revenues and production costs at...Ch. 4.1 - Revenue The following spreadsheet gives annual...Ch. 4.1 - Population Movement In 2000 the U.S. population,...Ch. 4.1 - Population Movement In 1990 the U.S. population,...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Inventory Microbucks Computer Company makes two...Ch. 4.1 - Inventory Microbucks Computer Company, besides...Ch. 4.1 - Prob. 51ECh. 4.1 - Tourism in the 1990s Referring to the 1998 tourism...Ch. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 2ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 4ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 11ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Repeat Exercises 29 with A=[0201002000020000].Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 36ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 39ECh. 4.2 - In Exercises 3944, calculate (a) P2=PP, (b)...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - In Exercises 4548, translate the given matrix...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - In Exercises 4952, translate the given systems of...Ch. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Revenue Karen Sandberg, your competitor in...Ch. 4.2 - Real Estate The following table shows the cost of...Ch. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 69ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 71ECh. 4.2 - Profits Refer back to Exercise 71. It actually...Ch. 4.2 - Tourism in the 1990s The following table gives the...Ch. 4.2 - Prob. 74ECh. 4.2 - Population Movement In 2008 the population of the...Ch. 4.2 - Prob. 76ECh. 4.2 - Give an example of two matrices A and B such that...Ch. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Prob. 80ECh. 4.2 - Prob. 81ECh. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Prob. 84ECh. 4.2 - Prob. 85ECh. 4.2 - Prob. 86ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 6ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 9ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 11ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 13ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 26ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 29ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 42ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 44ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 49ECh. 4.3 - In Exercises 49 and 50, use matrix inversion to...Ch. 4.3 - Prob. 51ECh. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Lesser-Known Stocks Exercises 5758 are...Ch. 4.3 - Prob. 58ECh. 4.3 - Population Movement In 2009 the population of the...Ch. 4.3 - Population Movement Assume that the percentages...Ch. 4.3 - Rotations If a point (x,y) in the plane is rotated...Ch. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Encryption Matrices are commonly used to encrypt...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Derive the formula in Exercise 71 using row...Ch. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Your friend has two square matrices A and B,...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - Prob. 7ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 12ECh. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 14ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - Prob. 19ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 2124, find (a) the optimal mixed row...Ch. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - More Retail Discount Wars Your Abercrom B mens...Ch. 4.4 - Factory Location22 A manufacturer of electrical...Ch. 4.4 - Crop Choice23 A farmer has a choice of growing...Ch. 4.4 - Study Techniques Your mathematics test is tomorrow...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Textbook Writing You are writing a college-level...Ch. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Wrestling Tournaments City Community College (CCC)...Ch. 4.4 - Wrestling Tournaments (Refer to Exercise 43.) One...Ch. 4.4 - The Battle of Rabaul-Lae25 In the Second World...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Campaign Strategies27 Florida and Ohio are swing...Ch. 4.4 - Campaign Strategies Repeat Exercise 49, this time...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.5 - Let A be the technology matrix A=[0.20.050.80.01],...Ch. 4.5 - Prob. 2ECh. 4.5 - Each unit of television news requires 0.2 units of...Ch. 4.5 - Production of one unit of cologne requires no...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 9ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 11ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Let (IA)1=[0.50.100.21.20.10.10.71.6], and assume...Ch. 4.5 - Prob. 16ECh. 4.5 - In Exercises 17 and 18, obtain the technology...Ch. 4.5 - Prob. 18ECh. 4.5 - Campus Food The two campus cafeterias, the Main...Ch. 4.5 - Plagiarism Two student groups at Enormous State...Ch. 4.5 - Communication Equipment Two sectors of the U.S....Ch. 4.5 - Prob. 22ECh. 4.5 - Australia Economy Two sectors of the Australian...Ch. 4.5 - Prob. 24ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Can an external demand be met by an economy whose...Ch. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - Prob. 14RECh. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - In Exercises 2528, find the production vector X...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - OHaganBooks.com has two main...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - Prob. 41RECh. 4 - OHaganBooks.com has two main...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Prob. 52RE
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Publisher:McGraw-Hill Education
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Mathematics for Elementary Teachers with Activiti...
Math
ISBN:9780134392790
Author:Beckmann, Sybilla
Publisher:PEARSON
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Thinking Mathematically (7th Edition)
Math
ISBN:9780134683713
Author:Robert F. Blitzer
Publisher:PEARSON
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Discrete Mathematics With Applications
Math
ISBN:9781337694193
Author:EPP, Susanna S.
Publisher:Cengage Learning,
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Pathways To Math Literacy (looseleaf)
Math
ISBN:9781259985607
Author:David Sobecki Professor, Brian A. Mercer
Publisher:McGraw-Hill Education
Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY
Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY
Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY
Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY