College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)
5th Edition
ISBN: 9780134179025
Author: Ronald J. Harshbarger, Lisa S. Yocco
Publisher: PEARSON
bartleby

Videos

Textbook Question
Book Icon
Chapter 7.4, Problem 41E

Decoding Messages We have encoded messages by assigning the numbers 1 to 26 to the letters a to z of the alphabet, respectively, and assigning 27 to a blank space. We can decode messages of this type by finding the inverse of the encoding matrix and multiplying it times the coded message. Use A−1 and the conversion table below to decode the messages in Exercises 39–44.

a b c d e f g h i j k l m n o p

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

q r s t u v w x y z blank

17 18 19 20 21 22 23 24 25 26 27

41. Decoding Messages The encoding matrix is A = [ − 1 0 1 − 1 1 0 3 − 1 − 1 ] , and the encoded message is 1, −4, 16, 21, 23, −40, 3, 6, 6, −26, −14, 67, −9, 0, 23, 9, 1, 8.

Expert Solution & Answer
Check Mark

Want to see the full answer?

Check out a sample textbook solution
Blurred answer
Previous
Chapter 7.4, Problem 40E
Next
Chapter 7.4, Problem 42E
Students have asked these similar questions
The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.
What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth.  Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%
What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth.  Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%

Chapter 7 Solutions

College Algebra in Context with Applications for the Managerial, Life, and Social Sciences (5th Edition)

Ch. 7.1 - In Exercises 14, solve the systems of equations....Ch. 7.1 - Prob. 2ECh. 7.1 - Prob. 3ECh. 7.1 - Prob. 4ECh. 7.1 - Prob. 5ECh. 7.1 - Prob. 6ECh. 7.1 - Prob. 7ECh. 7.1 - Prob. 8ECh. 7.1 - Prob. 9ECh. 7.1 - Prob. 10E
Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - In Exercises 516, use left-to-right elimination to...Ch. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Prob. 16ECh. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - Prob. 20ECh. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Prob. 25ECh. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Ticket Pricing A theater owner wants to divide an...Ch. 7.1 - Prob. 29ECh. 7.1 - Investment A trust account manager has 500,000 to...Ch. 7.1 - Investment A man has 400,000 invested in three...Ch. 7.1 - Loans A bank loans 285,000 to a development...Ch. 7.1 - Transportation Ace Trucking Company has an order...Ch. 7.1 - Nutrition The following table gives the calories,...Ch. 7.1 - Exercises 3540 have nonunique solutions. 35....Ch. 7.1 - Exercises 3540 have nonunique solutions. 36. Loans...Ch. 7.1 - Exercises 3540 have nonunique solutions. 37....Ch. 7.1 - Exercises 3540 have nonunique solutions. 38....Ch. 7.1 - Prob. 39ECh. 7.1 - Prob. 40ECh. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - In Exercises 514, the matrix associated with the...Ch. 7.2 - Solve the systems in Exercises 1522. 15....Ch. 7.2 - Solve the systems in Exercises 1522. 16....Ch. 7.2 - Solve the systems in Exercises 1522. 17....Ch. 7.2 - Solve the systems in Exercises 1522. 18....Ch. 7.2 - Solve the systems in Exercises 1522. 19....Ch. 7.2 - Solve the systems in Exercises 1522. 20....Ch. 7.2 - Solve the systems in Exercises 1522. 21....Ch. 7.2 - Solve the systems in Exercises 1522. 22....Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - In Exercises 2332, find the solutions, if any...Ch. 7.2 - Ticket Pricing A theater owner wants to divide a...Ch. 7.2 - Rental Cars A car rental agency rents compact,...Ch. 7.2 - Testing A professor wants to create a test that...Ch. 7.2 - Testing A professor wants to create a test that...Ch. 7.2 - Prob. 37ECh. 7.2 - Prob. 38ECh. 7.2 - Prob. 39ECh. 7.2 - Prob. 40ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Prob. 44ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Some of the following exercises have nonunique...Ch. 7.2 - Some of the following exercises have nonunique...Ch. 7.3 - Prob. 1ECh. 7.3 - Prob. 2ECh. 7.3 - Prob. 3ECh. 7.3 - Prob. 4ECh. 7.3 - Prob. 5ECh. 7.3 - Prob. 6ECh. 7.3 - Prob. 7ECh. 7.3 - Prob. 8ECh. 7.3 - Prob. 9ECh. 7.3 - Prob. 10ECh. 7.3 - Prob. 11ECh. 7.3 - Prob. 12ECh. 7.3 - Prob. 13ECh. 7.3 - Prob. 14ECh. 7.3 - Prob. 15ECh. 7.3 - Prob. 16ECh. 7.3 - Prob. 17ECh. 7.3 - Prob. 18ECh. 7.3 - Prob. 19ECh. 7.3 - Prob. 20ECh. 7.3 - Prob. 21ECh. 7.3 - Find EF and FE if E=[abcd] and F=[efgh].Ch. 7.3 - Prob. 23ECh. 7.3 - Prob. 24ECh. 7.3 - Prob. 25ECh. 7.3 - Prob. 26ECh. 7.3 - Prob. 27ECh. 7.3 - Prob. 28ECh. 7.3 - Prob. 29ECh. 7.3 - Endangered Species The tables give the numbers of...Ch. 7.3 - Prob. 31ECh. 7.3 - Income The table on the top of the next column...Ch. 7.3 - Prob. 33ECh. 7.3 - Cost Men and women in a church choir wear choir...Ch. 7.3 - Manufacturing Two departments, A and B, of a firm...Ch. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - Prob. 40ECh. 7.4 - Prob. 1ECh. 7.4 - Prob. 2ECh. 7.4 - Prob. 3ECh. 7.4 - Prob. 4ECh. 7.4 - Prob. 5ECh. 7.4 - Prob. 6ECh. 7.4 - Prob. 7ECh. 7.4 - Prob. 8ECh. 7.4 - Prob. 9ECh. 7.4 - Prob. 10ECh. 7.4 - Prob. 11ECh. 7.4 - Prob. 12ECh. 7.4 - Prob. 13ECh. 7.4 - In Exercises 514, find the inverse of the given...Ch. 7.4 - Prob. 15ECh. 7.4 - Prob. 16ECh. 7.4 - Prob. 17ECh. 7.4 - Prob. 18ECh. 7.4 - Prob. 19ECh. 7.4 - Prob. 20ECh. 7.4 - Prob. 21ECh. 7.4 - Prob. 22ECh. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Prob. 25ECh. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - Prob. 28ECh. 7.4 - Prob. 29ECh. 7.4 - Prob. 30ECh. 7.4 - Prob. 31ECh. 7.4 - Prob. 32ECh. 7.4 - Prob. 33ECh. 7.4 - Prob. 34ECh. 7.4 - Prob. 35ECh. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Prob. 40ECh. 7.4 - Decoding Messages We have encoded messages by...Ch. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - Decoding Messages We have encoded messages by...Ch. 7.5 - Prob. 1ECh. 7.5 - Prob. 2ECh. 7.5 - Prob. 3ECh. 7.5 - Prob. 4ECh. 7.5 - Prob. 5ECh. 7.5 - Prob. 6ECh. 7.5 - Prob. 7ECh. 7.5 - Prob. 8ECh. 7.5 - Prob. 9ECh. 7.5 - Prob. 10ECh. 7.5 - Prob. 11ECh. 7.5 - Prob. 12ECh. 7.5 - Prob. 13ECh. 7.5 - Prob. 14ECh. 7.5 - Prob. 15ECh. 7.5 - Prob. 16ECh. 7.5 - Prob. 17ECh. 7.5 - Prob. 18ECh. 7.5 - Prob. 19ECh. 7.5 - Prob. 20ECh. 7.5 - Prob. 21ECh. 7.5 - Prob. 22ECh. 7.5 - Prob. 23ECh. 7.5 - Prob. 24ECh. 7.5 - Prob. 25ECh. 7.5 - Prob. 26ECh. 7.5 - Prob. 27ECh. 7.5 - Prob. 28ECh. 7.5 - Prob. 29ECh. 7.5 - Prob. 30ECh. 7.5 - Prob. 31ECh. 7.5 - Prob. 32ECh. 7.5 - Prob. 33ECh. 7.5 - Prob. 34ECh. 7.5 - Prob. 35ECh. 7.5 - Prob. 36ECh. 7.5 - Prob. 37ECh. 7.5 - Prob. 38ECh. 7.6 - Prob. 1ECh. 7.6 - Prob. 2ECh. 7.6 - Prob. 3ECh. 7.6 - Prob. 4ECh. 7.6 - Prob. 5ECh. 7.6 - Prob. 6ECh. 7.6 - Prob. 7ECh. 7.6 - Prob. 8ECh. 7.6 - Prob. 9ECh. 7.6 - Prob. 10ECh. 7.6 - Prob. 11ECh. 7.6 - In Exercises 916, solve the system algebraically...Ch. 7.6 - Prob. 13ECh. 7.6 - Prob. 14ECh. 7.6 - Prob. 15ECh. 7.6 - Prob. 16ECh. 7.6 - Prob. 17ECh. 7.6 - Prob. 18ECh. 7.6 - Prob. 19ECh. 7.6 - Prob. 20ECh. 7.6 - Prob. 21ECh. 7.6 - Prob. 22ECh. 7.6 - Prob. 23ECh. 7.6 - Prob. 24ECh. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Prob. 30ECh. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Constructing a Box A rectangular piece of...Ch. 7.6 - Prob. 34ECh. 7.6 - Prob. 35ECh. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7 - If y is proportional to x, and y = 12x, what is...Ch. 7 - Prob. 2TECh. 7 - Prob. 3TECh. 7 - Prob. 4TECh. 7 - Prob. 5TECh. 7 - Prob. 6TECh. 7 - Prob. 7TECh. 7 - Prob. 8TECh. 7 - Prob. 9TECh. 7 - Prob. 10TECh. 7 - Prob. 11TECh. 7 - Prob. 12TECh. 7 - Prob. 13TECh. 7 - Prob. 14TECh. 7 - Prob. 15TECh. 7 - Prob. 16TECh. 7 - Prob. 17TECh. 7 - Prob. 18TECh. 7 - Determine whether the planes represented by these...Ch. 7 - Prob. 20TECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - Prob. 20RECh. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - In Exercises 31 and 32, solve the system of...Ch. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Medication Medication A is given six times per...Ch. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Finance A financial planner promises a long-term...Ch. 7 - Transportation Marshall Trucking Company has an...Ch. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Investment An investor wants to place a total of...Ch. 7 - Income and SAT Scores The following table gives...Ch. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RE
Knowledge Booster
Background pattern image
Math
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Text book image
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
Text book image
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Text book image
College Algebra
Algebra
ISBN:9781337282291
Author:Ron Larson
Publisher:Cengage Learning
SEE MORE TEXTBOOKS
Algebraic Complexity with Less Relations; Author: The University of Chicago;https://www.youtube.com/watch?v=ZOKM1JPz650;License: Standard Youtube License
Strassen's Matrix Multiplication - Divide and Conquer - Analysis of Algorithm; Author: Ekeeda;https://www.youtube.com/watch?v=UnpySHwAJsQ;License: Standard YouTube License, CC-BY
Trigonometric Equations with Complex Numbers | Complex Analysis #6; Author: TheMathCoach;https://www.youtube.com/watch?v=zdD8Dab1T2Y;License: Standard YouTube License, CC-BY