Thinking Mathematically (6th Edition)
6th Edition
ISBN: 9780321867322
Author: Robert F. Blitzer
Publisher: PEARSON
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Textbook Question
Chapter 14.1, Problem 2CP
CHECK POINT 2 The city of Metroville is located on both banks and three islands of the Metro River. Figure 14.7 shows that the town’s sections are connected by five bridges. Draw a graph that models the layout of Metroville.
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(b) An otherwise fair six-sided die has been tampered with in an attempt to
cheat at a dice game. The effect is that the 1 and 6 faces have a
different probability of occurring than the 2, 3, 4 and 5 faces.
Let θ be the probability of obtaining a 1 on this biased die. Then the
outcomes of rolling the biased die have the following probability mass
function.
Table 1 The p.m.f. of outcomes of rolls of a biased die
Outcome 1 2 3 4 5 6
Probability θ
1
4
(1 − 2θ)
1
4
(1 − 2θ)
1
4
(1 − 2θ)
1
4
(1 − 2θ) θ
(i) By consideration of the p.m.f. in Table 1, explain why it is
necessary for θ to be such that 0 < θ < 1/2. [2]
(ii) The value of θ is unknown. Data from which to estimate the value
of θ were obtained by rolling the biased die 1000 times. The result
of this experiment is shown in Table 2.
Table 2 Outcomes of 1000 independent rolls of a biased die
Outcome 1 2 3 4 5 6
Frequency 205 154 141 165 145 190
Show that the likelihood of θ based on these data is
L(θ) = C θ395 (1 − 2θ)
605
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Problem: The probability density function of a random variable is given by the exponential
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f(x) = {0.55e-0.55 x 0 < x, O elsewhere}
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Chapter 14 Solutions
Thinking Mathematically (6th Edition)
Ch. 14.1 - CHECK POINT 1 Explain why Figures 14.4(a) and (b)...Ch. 14.1 - CHECK POINT 2 The city of Metroville is located on...Ch. 14.1 - Prob. 3CPCh. 14.1 - CHECK POINT 4 The floor plan of a four-room house...Ch. 14.1 - CHECK POINT 5 A security guard needs to walk the...Ch. 14.1 - CHECK POINT 6 List the pairs of adjacent vertices...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...
Ch. 14.1 - Prob. 5CVCCh. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Prob. 7CVCCh. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - Fill in each blank so that the resulting statement...Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - The graph models the baseball schedule for a week....Ch. 14.1 - Prob. 5ECh. 14.1 - Prob. 6ECh. 14.1 - In Exercises 7-8, explain why the two figures show...Ch. 14.1 - In Exercises 7-8, explain why the two figures show...Ch. 14.1 - Eight students form a math homework group. The...Ch. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - In Exercises 11-12, draw a graph that models the...Ch. 14.1 - In Exercises 13-14, create a graph that models the...Ch. 14.1 - In Exercises 13-14, create a graph that models the...Ch. 14.1 - In Exercises 15-18, draw a graph that models (he...Ch. 14.1 - In Exercises 15-18, draw a graph that models (he...Ch. 14.1 - In Exercises 15-18, draw a graph that models the...Ch. 14.1 - In Exercises 15-18, draw a graph that models the...Ch. 14.1 - In Exercises 19-20, a security guard needs to walk...Ch. 14.1 - In Exercises 19-20, a security guard needs to walk...Ch. 14.1 - In Exercises 21-22, a mail carrier is to walk the...Ch. 14.1 - In Exercises 21-22, a mail carrier is to walk the...Ch. 14.1 - In Exercises 23-33, use the following graph. Find...Ch. 14.1 - In Exercises 23-33, use the following graph....Ch. 14.1 - In Exercises 23-33, use the following graph. Which...Ch. 14.1 - In Exercises 23-33, use the following graph.
26....Ch. 14.1 - In Exercises 23-33, use the following graph.
27....Ch. 14.1 - In Exercises 23-33, use the following graph. Use...Ch. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.1 - In Exercises 23-33, use the following...Ch. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph. Which...Ch. 14.1 - In Exercises 34-48, use the following graph. Which...Ch. 14.1 - In Exercises 34-48, use the following graph. Use...Ch. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph. Use...Ch. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - In Exercises 34-48, use the following...Ch. 14.1 - In Exercises 34-48, use the following graph,...Ch. 14.1 - In Exercises 34-48, use the fallowing graph....Ch. 14.1 - Prob. 46ECh. 14.1 - Prob. 47ECh. 14.1 - In Exercises 34-48, use the following graph....Ch. 14.1 - Prob. 49ECh. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - In Exercises 49-52, draw a graph with the given...Ch. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - What are equivalent graphs?Ch. 14.1 - Prob. 56ECh. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 60ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - Prob. 64ECh. 14.1 - Prob. 65ECh. 14.1 - Make Sense? In Exercises dd-d9, determine whether...Ch. 14.1 - Make Sense? In Exercises dd-d9, determine whether...Ch. 14.1 - Prob. 68ECh. 14.1 - Prob. 69ECh. 14.1 - Prob. 70ECh. 14.1 - Use the information in Exercise 10 to draw a graph...Ch. 14.1 - Prob. 72ECh. 14.1 - Prob. 73ECh. 14.1 - Prob. 74ECh. 14.2 - CHECK POINT I Refer to the graph in Figure 1423....Ch. 14.2 - Prob. 2CPCh. 14.2 - Prob. 3CPCh. 14.2 - Prob. 4CPCh. 14.2 - Prob. 1CVCCh. 14.2 - Prob. 2CVCCh. 14.2 - Prob. 3CVCCh. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Prob. 6CVCCh. 14.2 - Fill in each blank so that the resulting statement...Ch. 14.2 - Prob. 8CVCCh. 14.2 - Prob. 9CVCCh. 14.2 - Prob. 10CVCCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - In Exercises 1-6, use the graph shown. In each...Ch. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - In Exercises 7-8, a graph is given. a. Explain why...Ch. 14.2 - Prob. 9ECh. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - In Exercises 11-12, a graph is given. Explain why...Ch. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Prob. 15ECh. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Prob. 17ECh. 14.2 - In Exercises 13-18, a connected graph is...Ch. 14.2 - Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given. a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 19-32, a graph is given.
a. Determine...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 33-36, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 37-40, use Fleury’s Algorithm to find...Ch. 14.2 - In Exercises 41-44, a graph is given. a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given. a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given.
a. Modify...Ch. 14.2 - In Exercises 41-44, a graph is given.
a. Modify...Ch. 14.2 - Prob. 45ECh. 14.2 - In Exercises 45-18, we revisit the four-block;...Ch. 14.2 - Prob. 47ECh. 14.2 - In Exercises 45-48, we revisit the four-block,...Ch. 14.2 - Prob. 49ECh. 14.2 - Prob. 50ECh. 14.2 - In Exercises 51-52, the layout of a city with land...Ch. 14.2 - In Exercises 51-52, the layout of a city with land...Ch. 14.2 - Prob. 53ECh. 14.2 - In Exercises 54-55, a floor plan is shown.
a. Draw...Ch. 14.2 - In Exercises 54-55, a floor plan is shown.
a. Draw...Ch. 14.2 - Prob. 56ECh. 14.2 - Prob. 57ECh. 14.2 - Prob. 58ECh. 14.2 - Prob. 59ECh. 14.2 - In Exercises 50-60, a map is shown. a. Draw a...Ch. 14.2 - Prob. 61ECh. 14.2 - Prob. 62ECh. 14.2 - Prob. 63ECh. 14.2 - Prob. 64ECh. 14.2 - Prob. 65ECh. 14.2 - Prob. 66ECh. 14.2 - Prob. 67ECh. 14.2 - Prob. 68ECh. 14.2 - Make Sense? In Exercises 69-72, determine whether...Ch. 14.2 - Prob. 70ECh. 14.2 - Prob. 71ECh. 14.2 - Make Sense? Zn Exerciser 69-72, determine whether...Ch. 14.2 - Prob. 73ECh. 14.2 - Prob. 74ECh. 14.2 - Prob. 75ECh. 14.3 - CHECK POINT I a. Find a Hamilton path that begins...Ch. 14.3 - Prob. 2CPCh. 14.3 - CHECK POINT 3 Use the weighted graph in Figure...Ch. 14.3 - Prob. 4CPCh. 14.3 - Prob. 5CPCh. 14.3 - Prob. 1CVCCh. 14.3 - Prob. 2CVCCh. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Prob. 4CVCCh. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Fill in each blank so that the resulting statement...Ch. 14.3 - Prob. 7CVCCh. 14.3 - Prob. 8CVCCh. 14.3 - Prob. 1ECh. 14.3 - In Exercises 1-4, use the graph shown.
2. Find a...Ch. 14.3 - Prob. 3ECh. 14.3 - In Exercises 1-4, use the graph shown.
4. Find a...Ch. 14.3 - Prob. 5ECh. 14.3 - In Exercises 5-8, use the graph shown.
6. Find a...Ch. 14.3 - Prob. 7ECh. 14.3 - In Exercises 5-8, use the graph shown. Find a...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-4, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14,
a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14,
a. Determine if...Ch. 14.3 - For each graph in Exercises 9-14, a. Determine if...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 15-18, determine the number of...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the comple\te, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 19-24, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - In Exercises 25-34, use the complete, weighted...Ch. 14.3 - Practice Plus
In Exercises 35-38, a graph is...Ch. 14.3 - Practice Plus
In Exercises 35-3S, a graph is...Ch. 14.3 - Practice Plus
In Exercises 35-38, a graph is...Ch. 14.3 - Practice Plus In Exercises 35-38, a graph is...Ch. 14.3 - Application Exercises In Exercises 39-40, a sales...Ch. 14.3 - Prob. 40ECh. 14.3 - Use the map to fill in the three missing weights...Ch. 14.3 - Prob. 42ECh. 14.3 - Using the Brute Force Method, the optimal solution...Ch. 14.3 - 44. Use the Nearest Neighbor Method to find an...Ch. 14.3 - In Exercises 45-47, you have three errands to run...Ch. 14.3 - In Exercises 45-47, you have three errands to run...Ch. 14.3 - Prob. 47ECh. 14.3 - Prob. 48ECh. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - Prob. 53ECh. 14.3 - Prob. 54ECh. 14.3 - Prob. 55ECh. 14.3 - 56. Why is the Brute Force Method impractical for...Ch. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - 59. An efficient solution for solving traveling...Ch. 14.3 - Make Sense? In Exercises60-63, determine whether...Ch. 14.3 - Prob. 61ECh. 14.3 - Prob. 62ECh. 14.3 - Make Sense? In Exercises 60-63, determine whether...Ch. 14.3 - Prob. 64ECh. 14.3 - Ambassadors from countries A, B, C, D, E, and F...Ch. 14.3 - 66. In this group exercise, you will create and...Ch. 14.4 - CHECK POINT I Which graph in Figure 14.51 is a...Ch. 14.4 - Prob. 2CPCh. 14.4 - Prob. 3CPCh. 14.4 - Prob. 1CVCCh. 14.4 - Prob. 2CVCCh. 14.4 - Prob. 3CVCCh. 14.4 - Prob. 4CVCCh. 14.4 - Prob. 5CVCCh. 14.4 - Prob. 6CVCCh. 14.4 - Prob. 1ECh. 14.4 - Prob. 2ECh. 14.4 - Prob. 3ECh. 14.4 - Prob. 4ECh. 14.4 - Prob. 5ECh. 14.4 - Prob. 6ECh. 14.4 - Prob. 7ECh. 14.4 - Prob. 8ECh. 14.4 - Prob. 9ECh. 14.4 - Prob. 10ECh. 14.4 - Prob. 11ECh. 14.4 - Prob. 12ECh. 14.4 - Prob. 13ECh. 14.4 - Prob. 14ECh. 14.4 - Prob. 15ECh. 14.4 - Prob. 16ECh. 14.4 - Prob. 17ECh. 14.4 - Prob. 18ECh. 14.4 - Prob. 19ECh. 14.4 - Prob. 20ECh. 14.4 - Prob. 21ECh. 14.4 - Prob. 22ECh. 14.4 - Prob. 23ECh. 14.4 - Prob. 24ECh. 14.4 - Prob. 25ECh. 14.4 - Prob. 26ECh. 14.4 - Prob. 27ECh. 14.4 - Prob. 28ECh. 14.4 - Prob. 29ECh. 14.4 - Prob. 30ECh. 14.4 - Prob. 31ECh. 14.4 - Prob. 32ECh. 14.4 - Prob. 33ECh. 14.4 - Prob. 34ECh. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - A college campus plans to provide awnings above...Ch. 14.4 - Prob. 40ECh. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14.4 - Prob. 43ECh. 14.4 - Prob. 44ECh. 14.4 - Prob. 45ECh. 14.4 - Prob. 46ECh. 14.4 - Prob. 47ECh. 14.4 - Prob. 48ECh. 14.4 - Prob. 49ECh. 14.4 - Prob. 50ECh. 14.4 - Prob. 51ECh. 14.4 - Make Sense? In Exercises52-55, determine whether...Ch. 14.4 - Prob. 53ECh. 14.4 - Make Sense? In Exercises52-55, determine whether...Ch. 14.4 - Prob. 55ECh. 14.4 - Prob. 56ECh. 14.4 - Prob. 57ECh. 14.4 - Prob. 58ECh. 14 - Prob. 1TCh. 14 - Prob. 2TCh. 14 - In Exercises 1-4, use the following graph. Use...Ch. 14 - Prob. 4TCh. 14 - Prob. 5TCh. 14 - Prob. 6TCh. 14 - Prob. 7TCh. 14 - Prob. 8TCh. 14 - Prob. 9TCh. 14 - 10. a. Draw a graph that models the layout of the...Ch. 14 - Prob. 11TCh. 14 - Prob. 12TCh. 14 - 13 Find two Hamilton circuits in the graph shown....Ch. 14 - Prob. 14TCh. 14 - Prob. 15TCh. 14 - Prob. 16TCh. 14 - Prob. 17TCh. 14 - Prob. 18TCh. 14 - Prob. 19TCh. 14 - Prob. 20TCh. 14 - Explain why the two figures show equivalent...Ch. 14 - In Exercises 2-8, use the following graph.
2....Ch. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - In Exercises 13-15, a graph is given.
a. Determine...Ch. 14 - In Exercises 13-15, a graph is given.
a. Determine...Ch. 14 - Use Fleury’s Algorithm to find an Euler path.Ch. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - Refer to Exercise 11. Use your graph to determine...Ch. 14 - Refer to Exercise 12. a. Use your graph to...Ch. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - For each graph in Exercises 24-27
a. Determine if...Ch. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Use the Nearest Neighbor Method to find a Hamilton...Ch. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - Prob. 35RECh. 14 - Prob. 36RECh. 14 - Prob. 37RECh. 14 - Prob. 38RECh. 14 - Prob. 39RECh. 14 - Prob. 40RECh. 14 - 41. A fiber-optic cable system is to be installed...
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Author:Ron Larson
Publisher:Cengage Learning
Points, Lines, Planes, Segments, & Rays - Collinear vs Coplanar Points - Geometry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=dDWjhRfBsKM;License: Standard YouTube License, CC-BY
Naming Points, Lines, and Planes; Author: Florida PASS Program;https://www.youtube.com/watch?v=F-LxiLSSaLg;License: Standard YouTube License, CC-BY