Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
12th Edition
ISBN: 9780134767628
Author: Margaret L. Lial, Thomas W. Hungerford, John P. Holcomb, Bernadette Mullins
Publisher: PEARSON
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Chapter 6.2, Problem 5CP
(a)
To determine
Set up the augmented matrix.
(b)
To determine
Get 0 2 1
(c)
To determine
Get 0 3 1
(d)
To determine
Get 1 2 2
(e)
To determine
Get 0 1 2
(f)
To determine
Get 0 3 2
(g)
To determine
List the solution of the system.
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20 km, because
GISS
Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
What is the answer in 10.3
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
Chapter 6 Solutions
Mathematics with Applications In the Management, Natural, and Social Sciences (12th Edition)
Ch. 6.1 - Checkpoint1 Use the substitution method tosolve...Ch. 6.1 - Checkpoint 2
Use the elimination method to solve...Ch. 6.1 - Checkpoint 3
Solve the system of equations .
Draw...Ch. 6.1 - Checkpoint 4
Solve the following system:
Ch. 6.1 - Checkpoint 5
Solve the system
Draw the graph of...Ch. 6.1 - Prob. 6CPCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...
Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use substitution to solve each system. (See...Ch. 6.1 - Use elimination to solve each system. (See...Ch. 6.1 - Use elimination to solve each system. (See...Ch. 6.1 - Use elimination to solve each system. (See...Ch. 6.1 - Use elimination to solve each system. (See...Ch. 6.1 - Use elimination to solve each system. (See...Ch. 6.1 - Prob. 12ECh. 6.1 - Prob. 13ECh. 6.1 - Use elimination to solve each system. (See...Ch. 6.1 - Use elimination to solve each system. (See...Ch. 6.1 - Prob. 16ECh. 6.1 - In Exercises 17 and 18, multiply both sides of...Ch. 6.1 - In Exercises 17 and 18, multiply both sides of...Ch. 6.1 - Millennials The number of baby boomers has been...Ch. 6.1 - Prob. 20ECh. 6.1 - Slow Midwestern Growth According to US. Census...Ch. 6.1 - Booming Florida At the start of the millennium,...Ch. 6.1 - Google Trends According to Google Trends, popular...Ch. 6.1 -
24. Heart Disease and Cancer Deaths The number of...Ch. 6.1 - Workforce Participation for Women and Men On the...Ch. 6.1 - Prob. 26ECh. 6.1 - Theater Tickets A 200-seat theater charges $8 for...Ch. 6.1 - Prob. 28ECh. 6.1 - Prob. 29ECh. 6.1 - Prob. 30ECh. 6.1 - Prob. 31ECh. 6.1 - Prob. 32ECh. 6.2 - Checkpoint 1
Use the elimination method to solve...Ch. 6.2 - Prob. 2CPCh. 6.2 - Checkpoint 3 Perform the given row operations on...Ch. 6.2 - Prob. 4CPCh. 6.2 - Prob. 5CPCh. 6.2 - Prob. 6CPCh. 6.2 - Prob. 7CPCh. 6.2 - Checkpoint 8
Solve each system.
(a)
(b)
Ch. 6.2 - Prob. 9CPCh. 6.2 - Prob. 1ECh. 6.2 - Prob. 2ECh. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Prob. 5ECh. 6.2 - Prob. 6ECh. 6.2 - Obtain an equivalent system by performing the...Ch. 6.2 - Obtain an equivalent system by performing the...Ch. 6.2 - Obtain an equivalent system by performing the...Ch. 6.2 - Prob. 10ECh. 6.2 - Prob. 11ECh. 6.2 - Obtain an equivalent system by performing the...Ch. 6.2 - Prob. 13ECh. 6.2 - Write the augmented matrix of each of the given...Ch. 6.2 - Prob. 15ECh. 6.2 - Prob. 16ECh. 6.2 - Prob. 17ECh. 6.2 - Prob. 18ECh. 6.2 - Prob. 22ECh. 6.2 - Prob. 21ECh. 6.2 - Use the indicated row operation to transform each...Ch. 6.2 - Prob. 20ECh. 6.2 - In Exercises 21-24, the reduced row echelon form...Ch. 6.2 - In Exercises 21-24, the reduced row echelon form...Ch. 6.2 - In Exercises 21-24, the reduced row echelon form...Ch. 6.2 - In Exercises 21-24, the reduced row echelon form...Ch. 6.2 - Prob. 25ECh. 6.2 - Prob. 28ECh. 6.2 - In Exercises 25-30, perform row operations on the...Ch. 6.2 - In Exercises 25-30, perform row operations on the...Ch. 6.2 - In Exercises 25-30, perform row operations on the...Ch. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Write the augmented matrix of the system and use...Ch. 6.2 - Write the augmented matrix of the system and use...Ch. 6.2 - Write the augmented matrix of the system and use...Ch. 6.2 - Write the augmented matrix of the system and use...Ch. 6.2 - Write the augmented matrix of the system and use...Ch. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Write the augmented matrix of the system and use...Ch. 6.2 - Use the Gauss-Jordan method to solve each of the...Ch. 6.2 - Prob. 44ECh. 6.2 - Prob. 45ECh. 6.2 - Prob. 46ECh. 6.2 - Prob. 47ECh. 6.2 - Prob. 48ECh. 6.2 - Prob. 49ECh. 6.2 - Prob. 55ECh. 6.2 - Prob. 50ECh. 6.2 - Prob. 51ECh. 6.2 - Prob. 52ECh. 6.2 - Prob. 53ECh. 6.2 - Prob. 54ECh. 6.2 - Prob. 56ECh. 6.2 - Prob. 57ECh. 6.2 - Prob. 58ECh. 6.2 - Prob. 59ECh. 6.2 - Prob. 60ECh. 6.2 - Prob. 61ECh. 6.2 - Prob. 62ECh. 6.2 - Solve the system by any method.
62.
Ch. 6.2 - Prob. 63ECh. 6.2 - Prob. 65ECh. 6.2 - Prob. 66ECh. 6.2 - Prob. 67ECh. 6.2 - Prob. 68ECh. 6.2 - Prob. 69ECh. 6.2 - Prob. 70ECh. 6.2 - Prob. 71ECh. 6.2 - 72. Explain why a system with more variables than...Ch. 6.3 - Checkpoint 1 In Example 1, suppose that the...Ch. 6.3 - Checkpoint 2 Write the augmented matrix of the...Ch. 6.3 - Prob. 3CPCh. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Prob. 3ECh. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Prob. 10ECh. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Prob. 16ECh. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - Use systems of equations to work these applied...Ch. 6.3 - A graphing calculator or other technology is...Ch. 6.3 - A graphing calculator or other technology is...Ch. 6.3 - 25. Social Science The table shows Census Bureau...Ch. 6.3 - 26. Social Science The table shows Census Bureau...Ch. 6.3 - 27. Business At a pottery factory, fuel...Ch. 6.3 - Prob. 28ECh. 6.4 - Checkpoint 1
Rewrite matrix M in Example 1 in a...Ch. 6.4 - Prob. 2CPCh. 6.4 - Prob. 3CPCh. 6.4 - Prob. 4CPCh. 6.4 - Prob. 5CPCh. 6.4 - Prob. 6CPCh. 6.4 - Prob. 7CPCh. 6.4 - Prob. 8CPCh. 6.4 - Prob. 9CPCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Prob. 7ECh. 6.4 - Find the size of each of the given matrices....Ch. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - Perform the indicated operations where possible....Ch. 6.4 - Prob. 14ECh. 6.4 - Perform the indicated operations where possible....Ch. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Let and . Find each of the following. (See...Ch. 6.4 - Prob. 19ECh. 6.4 - Let and . Find each of the following. (See...Ch. 6.4 - Prob. 21ECh. 6.4 - Let and . Find each of the following. (See...Ch. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Using matrices
verify that the statements in...Ch. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Work the following exercises. (See Example...Ch. 6.4 - Prob. 32ECh. 6.4 - Prob. 33ECh. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.5 - Prob. 1CPCh. 6.5 - Prob. 2CPCh. 6.5 - Prob. 3CPCh. 6.5 - Prob. 4CPCh. 6.5 - Prob. 5CPCh. 6.5 - Prob. 6CPCh. 6.5 - Prob. 7CPCh. 6.5 - Prob. 8CPCh. 6.5 - Prob. 9CPCh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - In Exercises 1-6, the sizes of two matrices A and...Ch. 6.5 - In Exercises 1-6, the sizes of two matrices A and...Ch. 6.5 - Prob. 5ECh. 6.5 - Prob. 6ECh. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Find each of the following matrix products, if...Ch. 6.5 - Prob. 12ECh. 6.5 - Prob. 13ECh. 6.5 - Find each of the following matrix products, if...Ch. 6.5 - Prob. 15ECh. 6.5 - Prob. 16ECh. 6.5 - Prob. 17ECh. 6.5 - Find each of the following matrix products, if...Ch. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Given matrices
verify that the statements in...Ch. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Prob. 28ECh. 6.5 - Prob. 29ECh. 6.5 - Prob. 30ECh. 6.5 - Prob. 31ECh. 6.5 - Determine whether the given matrices are inverses...Ch. 6.5 - Prob. 37ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Find the inverse, if it exists, for each of the...Ch. 6.5 - Prob. 33ECh. 6.5 - Find the inverse, if it exists, for each of the...Ch. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Find the inverse, if it exists, for each of the...Ch. 6.5 - Find the inverse, if it exists, for each of the...Ch. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Work these exercises. (See Example 4.)
50. Bulk...Ch. 6.5 - Prob. 56ECh. 6.5 - A graphing calculator or other technology is...Ch. 6.5 - Prob. 55ECh. 6.5 - Prob. 52ECh. 6.5 - Prob. 53ECh. 6.5 - Prob. 54ECh. 6.6 - Prob. 1CPCh. 6.6 - Prob. 2CPCh. 6.6 - Prob. 3CPCh. 6.6 - Prob. 4CPCh. 6.6 - Prob. 5CPCh. 6.6 - Prob. 6CPCh. 6.6 - Prob. 7CPCh. 6.6 - Checkpoint 8
Use the following matrix to find the ...Ch. 6.6 - Prob. 9CPCh. 6.6 - Prob. 1ECh. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Prob. 4ECh. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - Use the inverse of the coefficient matrix to solve...Ch. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Use the inverse of the coefficient matrix to solve...Ch. 6.6 - Prob. 13ECh. 6.6 - Prob. 14ECh. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Write a system of equations, and use the inverse...Ch. 6.6 - Prob. 18ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 19ECh. 6.6 - Write a system of equations, and use the inverse...Ch. 6.6 - 22. Health A 100-bed nursing home provides two...Ch. 6.6 - Find the production matrix for the given...Ch. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Exercises 25 and 26 refer to Example 6.
Example 6...Ch. 6.6 - Work these problems. (See Examples 3-6.)
28....Ch. 6.6 - Prob. 27ECh. 6.6 - Prob. 29ECh. 6.6 - Work these problems. (See Examples...Ch. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - Prob. 35ECh. 6.6 - Prob. 36ECh. 6.6 - Work these coding exercises. (See Example 7 and...Ch. 6.6 - Prob. 38ECh. 6.6 - Prob. 39ECh. 6.6 - Prob. 40ECh. 6.6 - Prob. 41ECh. 6.6 - Prob. 42ECh. 6.6 - Prob. 43ECh. 6.6 - 44. Business The figure shows four southern cities...Ch. 6 - Prob. 1RECh. 6 - Solve each of the following systems.
2.
Ch. 6 - Solve each of the following systems.
3.
Ch. 6 - Solve each of the following systems.
4.
Ch. 6 - 5. Business Abigail Henderson plans to buy shares...Ch. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Prob. 12RECh. 6 - Prob. 13RECh. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Prob. 21RECh. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Prob. 27RECh. 6 - Prob. 28RECh. 6 - Prob. 29RECh. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Prob. 32RECh. 6 - Prob. 33RECh. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Prob. 49RECh. 6 - Prob. 50RECh. 6 - Prob. 51RECh. 6 - Prob. 52RECh. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Prob. 81RECh. 6 - Prob. 82RECh. 6 - Prob. 83RECh. 6 - Prob. 84RECh. 6 - Prob. 85RECh. 6 - Solve each of the following problems by any...Ch. 6 - Prob. 87RECh. 6 - Prob. 88RECh. 6 - Prob. 89RECh. 6 - Use technology to do Exercises 89-91.
90. Business...Ch. 6 - Prob. 91RECh. 6 - Prob. 92RECh. 6 - Prob. 93RECh. 6 - Prob. 94RECh. 6 - Prob. 95RECh. 6 - Prob. 96RECh. 6 - Prob. 1CECh. 6 - 2. It was shown previously that there are four...Ch. 6 - 3. Which trips in the Stampede Air network take...Ch. 6 - Prob. 4CECh. 6 - Prob. 5CECh. 6 - Prob. 6CE
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