Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
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Chapter 12, Problem 20T
Use the stem-and-leaf display below for Exercises 16-21.
| 2 | 3 | 3 | 4 | |||
| 2 | 6 | 7 | 8 | 9 | 9 | |
| 3 | 0 | 1 | 1 | 2 | 3 | 3 3 4 |
| 3 | 5 | 6 | 7 | 8 | 8 | 9 |
| 4 | 1 | 2 | 2 | 4 | ||
| 4 | 5 | 7 | 9 | |||
| 5 | 2 | 4 | ||||
| 5 | 8 | |||||
| 6 | 0 | |||||
Compute the measures required in Exercises 16-20.
the eighty-fifth percentile
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Let G
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(V,E) be a 3-connected graph. We prove that for every x, y, z Є V, there is a
cycle in G on which x, y, and z all lie.
(a) First prove that there are two internally disjoint xy-paths Po and P₁.
(b) If z is on either Po or P₁, then combining Po and P₁ produces a cycle on which
x, y, and z all lie. So assume that z is not on Po and not on P₁. Now prove that
there are three paths Qo, Q1, and Q2 such that:
⚫each Qi starts at z;
• each Qi ends at a vertex w; that is on Po or on P₁, where wo, w₁, and w₂ are
distinct;
the paths Qo, Q1, Q2 are disjoint from each other (except at the start vertex
2) and are disjoint from the paths Po and P₁ (except at the end vertices wo,
W1, and w₂).
(c) Use paths Po, P₁, Qo, Q1, and Q2 to prove that there is a cycle on which x, y, and
z all lie. (To do this, notice that two of the w; must be on the same Pj.)
Chapter 12 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 12.1 - In Exercises I and 2, use the given data to do the...Ch. 12.1 - In Exercises 1 and 2, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In each of Exercises 7-10, construct a...Ch. 12.1 - In each of Exercises 7-10, construct a...Ch. 12.1 - In each of Exercises 7-10, construct a...Ch. 12.1 - In each of Exercises 7-10, construct a...
Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Prob. 15ECh. 12.1 - Refer to the above graphs for Exercises 16-20....Ch. 12.1 - Prob. 17ECh. 12.1 - Refer to the above graphs for Exercises 16-20....Ch. 12.1 - Prob. 19ECh. 12.1 - Refer to the above graphs for Exercises 16-20....Ch. 12.1 - Reading a Circle Graph of Job-Training Sources The...Ch. 12.1 - Reading a Circle Graph of Job-Training Sources The...Ch. 12.1 - Prob. 23ECh. 12.1 - Correspondence between Education and Earnings Data...Ch. 12.1 - Prob. 25ECh. 12.1 - Net Worth of Retirement Savings Saura, wishing to...Ch. 12.1 - Prob. 27ECh. 12.1 - Net Worth of Retirement Savings Saura, wishing to...Ch. 12.1 - Prob. 29ECh. 12.1 - Sample Masses in a Geology Laboratory...Ch. 12.1 - Sample Masses in a Geology Laboratory...Ch. 12.1 - Record Temperatures According to the National...Ch. 12.1 - Prob. 33ECh. 12.1 - Frequencies and Probabilities of letter Occurrence...Ch. 12.1 - Prob. 35ECh. 12.1 - Prob. 36ECh. 12.1 - 37. Is the probability distribution in Exercise 36...Ch. 12.1 - Prob. 38ECh. 12.1 - Probabilities of Study Times Recall that the...Ch. 12.1 - Favorite Sports among Recreation Students The 40...Ch. 12.1 - Favorite Sports among Recreation Students The 40...Ch. 12.1 - Favorite Sports among Recreation Students The 40...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a), the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - Answer each question. Gymnasts' Scores An Olympic...Ch. 12.2 - Quiz Grades The average of 5 quiz grades is 10....Ch. 12.2 - For each category in Exercises 11-16, find (a) (he...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - Leading U.S. Businesses The table shows the top...Ch. 12.2 - Leading U.S. Businesses The table shows the top...Ch. 12.2 - Measuring Elapsed Times While doing an experiment,...Ch. 12.2 - Measuring Elapsed Times White doing an experiment,...Ch. 12.2 - The student from Exercises 19 and 20,when...Ch. 12.2 - The student from Exercises 19 and 20,when...Ch. 12.2 - The student from Exercises 19 and 20,when...Ch. 12.2 - The student from Exercises 19 and 20, when...Ch. 12.2 - Scores on Management Examinations Thao earned the...Ch. 12.2 - Scores on Management Examinations Thao earned the...Ch. 12.2 - Scores on Management Examinations Thao earned the...Ch. 12.2 - For each of the following frequency distributions,...Ch. 12.2 - Prob. 29ECh. 12.2 - 30. Average Employee Salary A company has
15...Ch. 12.2 - Grade-Point Averages Find the grade-point average...Ch. 12.2 - Grade-Point Averages Find the grade-point average...Ch. 12.2 - Prob. 33ECh. 12.2 - Federal Budget Totals The table gives federal...Ch. 12.2 - Prob. 35ECh. 12.2 - World Cell Phone Use In 2012, just the top six...Ch. 12.2 - Prob. 37ECh. 12.2 - Crew, Passengers, and Hijackers on 3/11 Airliners...Ch. 12.2 - Prob. 39ECh. 12.2 - Olympic Medal Standings The top ten medal-winning...Ch. 12.2 - Prob. 41ECh. 12.2 - Olympic Medal Standings The top ten medal-winning...Ch. 12.2 - Prob. 43ECh. 12.2 - In Exercises 44 and 45, use the given...Ch. 12.2 - Prob. 45ECh. 12.2 - What does your box plot of Exercise 18 for...Ch. 12.2 - Prob. 47ECh. 12.2 - Prob. 48ECh. 12.2 - Prob. 49ECh. 12.2 - Prob. 50ECh. 12.2 - Prob. 51ECh. 12.2 - Prob. 52ECh. 12.2 - Prob. 53ECh. 12.2 - Prob. 54ECh. 12.2 - Prob. 55ECh. 12.2 - Prob. 56ECh. 12.2 - Prob. 57ECh. 12.2 - Prob. 58ECh. 12.2 - For Exercises 57-59, refer to the grouped...Ch. 12.2 - Prob. 60ECh. 12.3 - 1. If your calculator finds both the sample...Ch. 12.3 - 2. If your calculator finds only one kind of...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Use Chebyshev’s theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 15ECh. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 17ECh. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 21ECh. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 23ECh. 12.3 - Travel Accommodation CostsGabriel and Lucia took a...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - In Exercises 29 and 30, two samples are given. In...Ch. 12.3 - In Exercises 29 and 30, two samples are given. In...Ch. 12.3 - Utilize the following sample for Exercises...Ch. 12.3 - Utilize the following sample for Exercises 31-36....Ch. 12.3 - Prob. 33ECh. 12.3 - Utilize the following sample for Exercises...Ch. 12.3 - Prob. 35ECh. 12.3 - Utilize the following sample for Exercises...Ch. 12.3 - 37. Comparing Water Heater Lifetimes Two brands of...Ch. 12.3 - Lifetimes of Engine Control Modules Chin manages...Ch. 12.3 - Lifetimes of Engine Control Modules Chin manages...Ch. 12.3 - Prob. 40ECh. 12.3 - 41. In Section 12.2 we showed that the mean, as a...Ch. 12.3 - Prob. 42ECh. 12.3 - A Cereal-Marketing Survey A food distribution...Ch. 12.3 - A Cereal-Marketing Survey A food distribution...Ch. 12.3 - A Cereal-Marketing Survey A food distribution...Ch. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.3 - Prob. 49ECh. 12.3 - Prob. 50ECh. 12.3 - Prob. 51ECh. 12.3 - Prob. 52ECh. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - In Exercises 5-8, make use of z-scores.
5....Ch. 12.4 - In Exercises 5-8, make use of z-scores.
6....Ch. 12.4 - In Exercises 5-8, make use of z-scores.
7....Ch. 12.4 - In Exercises 5-8, make use of z-scores. Relative...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and ConsumersThe...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - Determine which was relatively higher: Canada in...Ch. 12.4 - Construct box plots for both production and...Ch. 12.4 - Prob. 19ECh. 12.4 - 20. Comparing your two box plots of Exercise 18,...Ch. 12.4 - The text stated that for any distribution of data,...Ch. 12.4 - 22. Describe the basic difference between a...Ch. 12.4 - Prob. 23ECh. 12.4 - This chapter has introduced three major...Ch. 12.4 - Prob. 25ECh. 12.4 - Prob. 26ECh. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - In Exercises 32-35, answer yes or no and explain...Ch. 12.4 - In Exercises 32-35, answer yes or no and explain...Ch. 12.4 - In Exercises 32-35, answer yes or no and explain...Ch. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Prob. 39ECh. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.4 - Prob. 44ECh. 12.4 - Prob. 45ECh. 12.4 - Prob. 46ECh. 12.4 - Prob. 47ECh. 12.4 - Prob. 48ECh. 12.4 - Prob. 49ECh. 12.4 - Prob. 50ECh. 12.4 - Prob. 51ECh. 12.4 - Prob. 52ECh. 12.4 - Prob. 53ECh. 12.4 - Prob. 54ECh. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Prob. 4ECh. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Prob. 6ECh. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find a value of z such that each condition is met....Ch. 12.5 - Find a value of z such that each condition is met....Ch. 12.5 - Find a value of z such that each condition
25....Ch. 12.5 - Find a value of z such that each condition is...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Prob. 32ECh. 12.5 - Prob. 33ECh. 12.5 - Prob. 34ECh. 12.5 - IQs of Employees A large company employs workers...Ch. 12.5 - Prob. 36ECh. 12.5 - Net Weight of Cereal Boxes A certain dry cereal is...Ch. 12.5 - Prob. 38ECh. 12.5 - Prob. 39ECh. 12.5 - Net Weight of Cereal Boxes A certain dry cereal is...Ch. 12.5 - Prob. 41ECh. 12.5 - Prob. 42ECh. 12.5 - Prob. 43ECh. 12.5 - Prob. 44ECh. 12.5 - Assume the following distributions are all normal,...Ch. 12.5 - Prob. 46ECh. 12.5 - Prob. 47ECh. 12.5 - Prob. 48ECh. 12.5 - Prob. 49ECh. 12.5 - Prob. 50ECh. 12.5 - Prob. 51ECh. 12.5 - Prob. 52ECh. 12.5 - Prob. 53ECh. 12.5 - Prob. 54ECh. 12.5 - Prob. 55ECh. 12.5 - Prob. 56ECh. 12.5 - Prob. 57ECh. 12.5 - Prob. 58ECh. 12.5 - Prob. 59ECh. 12.5 - Prob. 60ECh. 12.5 - What percentage of the items lie within 1.25...Ch. 12.5 - Prob. 62ECh. 12 - Visits to Social Networking Sites The table shows...Ch. 12 - Cheaters Never Learn The table here shows the...Ch. 12 - Use this information for Exercises 3 and 4. For...Ch. 12 - Prob. 4TCh. 12 - College Endowment AssetsThe table shows the top...Ch. 12 - College Endowment Assets The table shows the top...Ch. 12 - College Endowment Assets The table shows the top...Ch. 12 - Prob. 8TCh. 12 - Pediatrics Patients Khalida worked the 22 weekdays...Ch. 12 - Prob. 10TCh. 12 - In Exercises 11-14, find the indicated measures...Ch. 12 - In Exercises 11-14, find the indicated measures...Ch. 12 - In Exercises 11-14, find the indicated measures...Ch. 12 - Prob. 14TCh. 12 - Exam Scores in a Criminal Justice Class The...Ch. 12 - Prob. 16TCh. 12 - Use the stem-and-leaf display below for Exercises...Ch. 12 - Prob. 18TCh. 12 - Use the stem-and-leaf display below for Exercises...Ch. 12 - Use the stem-and-leaf display below for...Ch. 12 - Use the stem-and-leaf display below for...Ch. 12 - Prob. 22TCh. 12 - Triple Jump ChampionsAll Summer Olympic...Ch. 12 - Prob. 24TCh. 12 - Season Statistics in Major League Baseball The...Ch. 12 - Season Statistics in Major League Baseball The...Ch. 12 - Season Statistics in Major League Baseball The...Ch. 12 - Prob. 28TCh. 12 - Remission Data for Cocaine and Marijuana Addiction...Ch. 12 - Remission Data for Cocaine and Marijuana Addiction...
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