Math in Our World
3rd Edition
ISBN: 9780073519678
Author: David Sobecki Professor, Allan G. Bluman
Publisher: McGraw-Hill Education
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Chapter 14, Problem 6CT
To determine
To find: A spanning tree for the given graph in Figure 14-74.
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Instructions: Answer each question showing all work.
1. Out of 30 animals at a veterinarian clinic, 8 cats and 4 dogs have been vaccinated. 6 cats and 12 dogs are not yet
vaccinated. Create a two-way frequency table to represent the data.
2. Convert the table from number 1 into a two-way relative frequency table.
Instructions: Based on the tables created in questions 1 and 2 above, answer questions 3-7.
3. What percentage of cats from the total animals are vaccinated?
4. What is the relative frequency of dogs from the total animals that are not yet vaccinated?
5. What is the conditional frequency of cats that have not been vaccinated?
6. What is the marginal frequency of the total number of animals vaccinated?
7. What is the joint frequency of the cats that are vaccinated?
The the high
3000
Consider the following false statement:
For all integers a and b, if ab = 1 (mod 8), then a = 1 (mod 8) or b = 1 (mod 8).
(a) Which of the following could be used as a counterexample. Select all that apply.
a = -7 and b = −7
a = 1 and b = 23
☐ a = 3 and b: = −5
☐ a = 4 and b = 6
□ a = −1 and b = −9
Chapter 14 Solutions
Math in Our World
Ch. 14.1 - Draw a graph to represent ferry service between...Ch. 14.1 - The floor plan shown in Figure 14-7 is for a...Ch. 14.1 - Prob. 3TTOCh. 14.1 - Draw a graph for my neighborhood, shown in Figure...Ch. 14.1 - Prob. 5TTOCh. 14.1 - Prob. 6TTOCh. 14.1 - Prob. 7TTOCh. 14.1 - Prob. 8TTOCh. 14.1 - Prob. 1ECh. 14.1 - What is the difference between a loop and a...
Ch. 14.1 - What is the difference between a circuit and a...Ch. 14.1 - Draw two graphs that look physically different but...Ch. 14.1 - Prob. 5ECh. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - How does graph coloring apply to maps?Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 18ECh. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 20ECh. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Use the following graph to answer Exercises 1324....Ch. 14.1 - Prob. 25ECh. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - For Exercises 3134, represent each figure using a...Ch. 14.1 - Prob. 32ECh. 14.1 - Prob. 33ECh. 14.1 - Prob. 34ECh. 14.1 - Prob. 35ECh. 14.1 - Prob. 36ECh. 14.1 - For Exercises 3538, draw a graph to represent each...Ch. 14.1 - Prob. 38ECh. 14.1 - Prob. 39ECh. 14.1 - For Exercises 3942, draw a graph that represents...Ch. 14.1 - Prob. 41ECh. 14.1 - Prob. 42ECh. 14.1 - In Exercises 4350, use graph coloring to find the...Ch. 14.1 - Prob. 44ECh. 14.1 - Prob. 45ECh. 14.1 - Prob. 46ECh. 14.1 - In Exercises 4350, use graph coloring to find the...Ch. 14.1 - Prob. 48ECh. 14.1 - Prob. 49ECh. 14.1 - Prob. 50ECh. 14.1 - Prob. 51ECh. 14.1 - Prob. 52ECh. 14.1 - Prob. 53ECh. 14.1 - Prob. 54ECh. 14.1 - Prob. 55ECh. 14.1 - Draw a graph that represents the street map in...Ch. 14.1 - Prob. 57ECh. 14.1 - Prob. 58ECh. 14.1 - Prob. 59ECh. 14.1 - Prob. 61ECh. 14.1 - Prob. 62ECh. 14.1 - Prob. 63ECh. 14.1 - (a)When a graph represents a map as in Exercise...Ch. 14.2 - Use Eulers theorem to determine if the graphs...Ch. 14.2 - Prob. 2TTOCh. 14.2 - Prob. 3TTOCh. 14.2 - Prob. 1ECh. 14.2 - Prob. 2ECh. 14.2 - Prob. 3ECh. 14.2 - Prob. 4ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - For Exercises 710, decide whether each connected...Ch. 14.2 - Prob. 8ECh. 14.2 - For Exercises 710, decide whether each connected...Ch. 14.2 - Prob. 10ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 12ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 14ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 16ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 18ECh. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - For Exercises 1120, (a)State whether the graph has...Ch. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Prob. 24ECh. 14.2 - Prob. 25ECh. 14.2 - For Exercises 2126, draw a graph for the figures...Ch. 14.2 - Prob. 27ECh. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14.2 - Prob. 30ECh. 14.2 - Prob. 31ECh. 14.2 - Prob. 32ECh. 14.2 - For Exercises 33 and 34, determine if an Euler...Ch. 14.2 - For Exercises 33 and 34, determine if an Euler...Ch. 14.2 - Prob. 35ECh. 14.2 - Prob. 37ECh. 14.2 - Prob. 38ECh. 14.2 - Draw some sample graphs and use them to discuss...Ch. 14.2 - Prob. 40ECh. 14.2 - Prob. 41ECh. 14.2 - Prob. 42ECh. 14.2 - Explain why the word connected is crucial...Ch. 14.2 - Prob. 44ECh. 14.2 - Prob. 45ECh. 14.2 - Prob. 46ECh. 14.3 - Find a Hamilton path that begins at vertex C for...Ch. 14.3 - Prob. 2TTOCh. 14.3 - Prob. 3TTOCh. 14.3 - The driving times in minutes between four cities...Ch. 14.3 - Prob. 5TTOCh. 14.3 - Prob. 6TTOCh. 14.3 - Prob. 7TTOCh. 14.3 - What is the difference between a Hamilton path and...Ch. 14.3 - Prob. 2ECh. 14.3 - Give an example of a problem in our world that can...Ch. 14.3 - Prob. 4ECh. 14.3 - Prob. 5ECh. 14.3 - Prob. 6ECh. 14.3 - Describe what a typical traveling salesperson...Ch. 14.3 - Prob. 8ECh. 14.3 - Prob. 9ECh. 14.3 - Prob. 10ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 12ECh. 14.3 - Prob. 13ECh. 14.3 - Prob. 14ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 16ECh. 14.3 - Prob. 17ECh. 14.3 - Prob. 18ECh. 14.3 - For Exercises 1118, find two different Hamilton...Ch. 14.3 - Prob. 20ECh. 14.3 - Prob. 21ECh. 14.3 - Prob. 22ECh. 14.3 - For Exercises 1924, find two different Hamilton...Ch. 14.3 - Prob. 24ECh. 14.3 - Prob. 25ECh. 14.3 - Prob. 26ECh. 14.3 - For Exercises 2528, find the number of Hamilton...Ch. 14.3 - Prob. 28ECh. 14.3 - Prob. 29ECh. 14.3 - For Exercises 29 and 30, use the brute force...Ch. 14.3 - For Exercises 3134, use the nearest neighbor...Ch. 14.3 - Prob. 32ECh. 14.3 - Prob. 33ECh. 14.3 - Prob. 34ECh. 14.3 - In Exercises 3538, use the cheapest link algorithm...Ch. 14.3 - Prob. 36ECh. 14.3 - Prob. 37ECh. 14.3 - Prob. 38ECh. 14.3 - Prob. 39ECh. 14.3 - For Exercises 3942, use the information in the...Ch. 14.3 - Prob. 41ECh. 14.3 - Prob. 42ECh. 14.3 - Prob. 43ECh. 14.3 - For Exercises 4346, use the information in the...Ch. 14.3 - For Exercises 4346, use the information in the...Ch. 14.3 - Prob. 46ECh. 14.3 - Prob. 47ECh. 14.3 - A pizza delivery person has five prearranged...Ch. 14.3 - Prob. 49ECh. 14.3 - Prob. 50ECh. 14.3 - Prob. 51ECh. 14.3 - Prob. 52ECh. 14.3 - When planning routes, distance isnt always the key...Ch. 14.3 - Prob. 54ECh. 14.3 - Repeat questions 51 through 54, choosing four...Ch. 14.3 - Prob. 56ECh. 14.3 - Prob. 57ECh. 14.3 - Prob. 58ECh. 14.3 - Find a road atlas that has a mileage chart. Pick...Ch. 14.3 - Prob. 60ECh. 14.3 - Prob. 61ECh. 14.3 - Prob. 62ECh. 14.3 - Prob. 63ECh. 14.3 - Prob. 64ECh. 14.3 - Prob. 65ECh. 14.3 - Prob. 66ECh. 14.4 - Prob. 1TTOCh. 14.4 - Prob. 2TTOCh. 14.4 - Prob. 3TTOCh. 14.4 - Prob. 4TTOCh. 14.4 - Prob. 5TTOCh. 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 - For Exercise 716, decide whether or not each graph...Ch. 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 - As a new suburban neighborhood is being built, the...Ch. 14.4 - Prob. 35ECh. 14.4 - Prob. 36ECh. 14.4 - Prob. 37ECh. 14.4 - Prob. 38ECh. 14.4 - Prob. 39ECh. 14.4 - In the last two sections, we used both Hamilton...Ch. 14.4 - Prob. 41ECh. 14.4 - Prob. 42ECh. 14 - Use the graph shown in Figure 14-62 for Exercise...Ch. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Use the graph shown in Figure 14-62 for Exercises...Ch. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - Repeat Exercise 13 for the graphs from Exercises...Ch. 14 - Prob. 15RECh. 14 - Prob. 16RECh. 14 - Prob. 17RECh. 14 - Prob. 18RECh. 14 - Prob. 19RECh. 14 - Prob. 20RECh. 14 - Prob. 21RECh. 14 - Prob. 22RECh. 14 - Prob. 23RECh. 14 - Prob. 24RECh. 14 - Prob. 25RECh. 14 - Prob. 26RECh. 14 - Prob. 27RECh. 14 - Prob. 28RECh. 14 - Prob. 29RECh. 14 - Prob. 30RECh. 14 - Prob. 31RECh. 14 - Prob. 32RECh. 14 - Prob. 33RECh. 14 - Prob. 34RECh. 14 - For the following graph: (a)What is the degree of...Ch. 14 - Draw a graph with two bridges, and the...Ch. 14 - Prob. 3CTCh. 14 - Prob. 4CTCh. 14 - (a)For the graph shown in Figure 14-73, find an...Ch. 14 - Prob. 6CTCh. 14 - For the housing plan shown in Figure 14-75, draw a...Ch. 14 - Prob. 8CTCh. 14 - Use the brute force method to find the shortest...Ch. 14 - Use the nearest neighbor method and cheapest link...Ch. 14 - Prob. 11CTCh. 14 - Decide whether the problem can be solved using...
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