THINKING MATHEMATICALLY W/ACCESS
19th Edition
ISBN: 9780135323038
Author: Blitzer
Publisher: Pearson Custom Publishing
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Textbook Question
Chapter 11.7, Problem 85E
In Exercises 77-81, write a probability problem involving the word "and" whose solution results in the probability fractions shown.
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There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
The following ordered data list shows the data speeds for cell phones used by a
telephone company at an airport:
A. Calculate the Measures of Central Tendency from the ungrouped data list.
B. Group the data in an appropriate frequency table.
C. Calculate the Measures of Central Tendency using the table in point B.
D. Are there differences in the measurements obtained in A and C? Why (give at
least one justified reason)?
I leave the answers to A and B to resolve the remaining two.
0.8
1.4
1.8
1.9
3.2
3.6
4.5
4.5
4.6
6.2
6.5
7.7
7.9
9.9
10.2
10.3
10.9
11.1
11.1
11.6
11.8
12.0
13.1
13.5
13.7
14.1
14.2
14.7
15.0
15.1
15.5
15.8
16.0
17.5
18.2
20.2
21.1
21.5
22.2
22.4
23.1
24.5
25.7
28.5
34.6
38.5
43.0
55.6
71.3
77.8
A. Measures of Central Tendency
We are to calculate:
Mean, Median, Mode
The data (already ordered) is:
0.8, 1.4, 1.8, 1.9, 3.2, 3.6, 4.5, 4.5, 4.6, 6.2, 6.5, 7.7, 7.9, 9.9, 10.2, 10.3, 10.9,
11.1, 11.1, 11.6,
11.8, 12.0, 13.1, 13.5, 13.7, 14.1, 14.2, 14.7, 15.0, 15.1, 15.5,…
A tournament is a complete directed graph, for each pair of vertices x, y either (x, y) is an arc or
(y, x) is an arc. One can think of this as a round robin tournament, where the vertices represent
teams, each pair plays exactly once, with the direction of the arc indicating which team wins.
(a) Prove that every tournament has a direct Hamiltonian path. That is a labeling of the teams
V1, V2,..., Un so that vi beats Vi+1. That is a labeling so that team 1 beats team 2, team 2
beats team 3, etc.
(b) A digraph is strongly connected if there is a directed path from any vertex to any other
vertex. Equivalently, there is no partition of the teams into groups A, B so that every team
in A beats every team in B. Prove that every strongly connected tournament has a directed
Hamiltonian cycle. Use this to show that for any team there is an ordering as in part (a) for
which the given team is first.
(c) A king in a tournament is a vertex such that there is a direct path of length at most 2 to
any…
Chapter 11 Solutions
THINKING MATHEMATICALLY W/ACCESS
Ch. 11.1 - CHECK POINT 1 A restaurant offers 10 appetizers...Ch. 11.1 - CHECK POINT 2 Rework Example 2 given that the...Ch. 11.1 - CHECK POINT 3 A pizza can be ordered with two...Ch. 11.1 - CHECK POINT 4 The car in Example 4 is now...Ch. 11.1 - CHECK POINT 5 You are taking a multiple-choice...Ch. 11.1 - CHECK POINT 6 An electronic gate can be opened by...Ch. 11.1 - Fill in each blank so that the resulting statement...Ch. 11.1 - 2. The number of ways in which a series of...Ch. 11.1 - In Exercises 3-4, determine whether each statement...Ch. 11.1 - In Exercises 3-4, determine whether each statement...
Ch. 11.1 - Practice and Application Exercises A restaurant...Ch. 11.1 - The model of the car you are thinking of buying is...Ch. 11.1 - a popular brand 0f pen is available in three...Ch. 11.1 - 4. In how many ways can a casting director choose...Ch. 11.1 - A student is planning a two-part trip. The first...Ch. 11.1 - 6. For a temporary job between semesters, you are...Ch. 11.1 - An ice cream store sells two drinks (sodas or milk...Ch. 11.1 - A pizza can be ordered with three choices of size...Ch. 11.1 - A restaurant offers the following limited lunch...Ch. 11.1 - An apartment complex offers apartments with four...Ch. 11.1 - 11. Shoppers in a large shopping mall are...Ch. 11.1 - 12. There are three highways from city A to city...Ch. 11.1 - 13. A person can order a new car with a choice of...Ch. 11.1 - A car model comes in nine colors, with or without...Ch. 11.1 - 15. You are taking a multiple-choice test that has...Ch. 11.1 - You are taking a multiple-choice test that has...Ch. 11.1 - 17. In the original plan for area codes in...Ch. 11.1 - 18. The local seven-digit telephone numbers in...Ch. 11.1 - 19. License plates in a particular slate display...Ch. 11.1 - 20. How many different four-letter radio station...Ch. 11.1 - A stock can go up, go down, or stay unchanged. How...Ch. 11.1 - 22. A social security number contains nine digits,...Ch. 11.1 - 23. Explain the Fundamental Counting Principle
Ch. 11.1 - Figure 11.2 on page 689 shows that a tree diagram...Ch. 11.1 - 25. Write an original problem that can be solved...Ch. 11.1 - Prob. 26ECh. 11.1 - Make Sense? In Exercises 26-29, determine whether...Ch. 11.1 - Make Sense? In Exercises 26-29, determine whether...Ch. 11.1 - 29. There are more than 2000 possible sets of...Ch. 11.1 - 30. How many four-digit odd numbers are there?...Ch. 11.1 - In order to develop a more appealing hamburger, a...Ch. 11.2 - CHECK POINT 1 How many ways can the six jokes...Ch. 11.2 - CHECK POINT 2 In how many ways can you arrange...Ch. 11.2 - CHECK POINT 3 Evaluate without using a...Ch. 11.2 - CHECK POINT4 A corporation has seven members on...Ch. 11.2 - CHECK POINT 5 How many different programming...Ch. 11.2 - In how many ways can the letters of the word...Ch. 11.2 -
Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Fill in each blank so that the resulting statement...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Prob. 7ECh. 11.2 - Prob. 8ECh. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - Use the Fundamental Counting Principle to solve...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 13-32, evaluate each factorial...Ch. 11.2 - In Exercises 33-40, use the formula for to...Ch. 11.2 - In Exercises 33-40, use the formula for to...Ch. 11.2 - Prob. 35ECh. 11.2 - In Exercises 33-40, use the formula for n P r to...Ch. 11.2 - In Exercises 33-40, use the formula for n P r to...Ch. 11.2 - In Exercises 33-40, use the formula for n P r to...Ch. 11.2 - In Exercises 33-40, use the formula for to...Ch. 11.2 - In Exercises 33-40, use the formula for to...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - In a race in which six automobiles are entered and...Ch. 11.2 - Prob. 46ECh. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Use an appropriate permutations formula to solve...Ch. 11.2 - Prob. 57ECh. 11.2 - Prob. 58ECh. 11.2 - 59. Explain the best way to evaluate without a...Ch. 11.2 - Prob. 60ECh. 11.2 - Write a word problem that can be solved by...Ch. 11.2 - 62. Write a word problem that can be solved by...Ch. 11.2 - If 24 permutations can be formed using the letters...Ch. 11.2 - Prob. 64ECh. 11.2 - Prob. 65ECh. 11.2 - Prob. 66ECh. 11.2 - Make Sense? In Exercises 64-67, determine whether...Ch. 11.2 - Prob. 68ECh. 11.2 - Prob. 69ECh. 11.2 - Prob. 70ECh. 11.2 - Five men and five women line up at a checkout...Ch. 11.2 - How many four-digit odd numbers less than 6000 can...Ch. 11.2 - Prob. 73ECh. 11.3 - CHECK POINT 1 For each of the following problems,...Ch. 11.3 - CHECK POINT 2 You volunteer to pet-sit for your...Ch. 11.3 - CHECK POINT 3 How many different 4-card hands can...Ch. 11.3 - CHECK POINT 4 A zoo has six male bears and seven...Ch. 11.3 - Fill in each blank so that the resulting statement...Ch. 11.3 - Fill in each blank so that the resulting statement...Ch. 11.3 - Fill in each blank so that the resulting statement...Ch. 11.3 - Fill in each blank so that the resulting statement...Ch. 11.3 - 1. A medical researcher needs 6 people to test the...Ch. 11.3 - In Exercises 1-4, does the problem involve...Ch. 11.3 - In Exercises 1-4, does the problem involve...Ch. 11.3 - In Exercises 1-4, does the problem involve...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for to...Ch. 11.3 - In Exercises 5-20, use the formula for to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - Prob. 14ECh. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for to...Ch. 11.3 - In Exercises 5-20, use the formula for to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 5-20, use the formula for n C r to...Ch. 11.3 - In Exercises 21-28, evaluate each expression.
21....Ch. 11.3 - Prob. 22ECh. 11.3 - In Exercises 21-28, evaluate each expression. 1 −...Ch. 11.3 - In Exercises 21-28, evaluate each expression. 1 −...Ch. 11.3 - In Exercises 21-28, evaluate each expression.
25....Ch. 11.3 - In Exercises 21-28, evaluate each expression.
26....Ch. 11.3 - Prob. 27ECh. 11.3 - In Exercises 21-28, evaluate each expression 5 C 1...Ch. 11.3 - Use the formula for n C r to solve Exercises...Ch. 11.3 - Use the formula for to solve Exercises 29-40.
30....Ch. 11.3 - Use the formula for n C r to solve Exercises...Ch. 11.3 - Use the formula for to solve Exercises 29-40.
32....Ch. 11.3 - Use the formula for n C r to solve Exercises...Ch. 11.3 - Use the formula for n C r to solve Exercises...Ch. 11.3 - 35. To win at LOTTO in the slate of Florida, one...Ch. 11.3 - Use the formula for n C r to solve Exercises...Ch. 11.3 - Use the formula for to solve Exercises 29-40.
37....Ch. 11.3 - Use the formula for to solve Exercises 29-40.
38....Ch. 11.3 - Use the formula for n C r to solve Exercises...Ch. 11.3 - Use the formula for to solve Exercises 29-40.
40....Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - Prob. 43ECh. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - Prob. 45ECh. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - Prob. 49ECh. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - Prob. 53ECh. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - Prob. 57ECh. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - In Exercises 41-60, solve by the method of your...Ch. 11.3 - Thousands of jokes have been told about marriage...Ch. 11.3 - Thousands of jokes have been told about marriage...Ch. 11.3 - Prob. 63ECh. 11.3 - Thousands of jokes have been told about marriage...Ch. 11.3 - Prob. 65ECh. 11.3 - Prob. 66ECh. 11.3 - Thousands of jokes have been told about marriage...Ch. 11.3 - Thousands of jokes have been told about marriage...Ch. 11.3 - Prob. 69ECh. 11.3 - Explain how to distinguish between permutation and...Ch. 11.3 - 71. Write a word problem that can be solved by...Ch. 11.3 - Make Sense? In Exercises 72-75, determine whether...Ch. 11.3 - Make Sense? In Exercises 72-75, determine whether...Ch. 11.3 - Prob. 74ECh. 11.3 - Prob. 75ECh. 11.3 - Prob. 76ECh. 11.3 - 77. A 6/53 lottery involves choosing 6 of the...Ch. 11.3 - Prob. 78ECh. 11.3 - Prob. 79ECh. 11.3 - Prob. 80ECh. 11.4 - CHECKPOINT I A die is rolled once. Find the...Ch. 11.4 - CHECK POINT 2 You are dealt one card from a...Ch. 11.4 - CHECK POINT 3 Use Table 11.2 in Example 3 to solve...Ch. 11.4 - CHECK POINT 4 If one person is randomly selected...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - Fill in each blank so that the resulting statement...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - a number greater than 4. In Exercises 1-54,...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 1-54, express each probability as a...Ch. 11.4 - In Exercises 21-26, a fair coin is tossed two...Ch. 11.4 - Exercises 21-26, a fair coin is tossed two times...Ch. 11.4 - In Exercises 21-26, a fair coin is tossed two...Ch. 11.4 - In Exercises 21-26, a fair coin is tossed two...Ch. 11.4 - In Exercises 21-26, a fair coin is tossed two...Ch. 11.4 - In Exercises 21-26, a fair coin is tossed two...Ch. 11.4 - In Exercises 27-34, you select a family with three...Ch. 11.4 - In Exercises 27-34, you select a family with three...Ch. 11.4 - Prob. 29ECh. 11.4 - In Exercises 27-34, you select a family with three...Ch. 11.4 - In Exercises 27-34, you select a family with three...Ch. 11.4 - In Exercises 27-34, you select a family with three...Ch. 11.4 - Prob. 33ECh. 11.4 - In Exercises 27-34, you select a family with three...Ch. 11.4 - In Exercises 35-40, a single die is rolled twice....Ch. 11.4 - In Exercises 35-40, a single die is rolled twice....Ch. 11.4 - In Exercises 35-40, a single die is rolled twice....Ch. 11.4 - In Exercises 35-40, a single die is rolled twice....Ch. 11.4 - In Exercises 35-40, a single die is rolled twice....Ch. 11.4 - In Exercises 35-40, a single die is rolled twice....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Use the spinner shown to answer Exercises 41-48....Ch. 11.4 - Prob. 49ECh. 11.4 - Exercises 49-54 deal with sickle cell anemia, an...Ch. 11.4 - Exercises 49-54 deal with sickle cell anemia, an...Ch. 11.4 - Exercises 49-54 deal with sickle cell anemia, an...Ch. 11.4 - Prob. 53ECh. 11.4 - Exercises 49-54 deal with sickle cell anemia, an...Ch. 11.4 - The Table shows the distribution, by age and...Ch. 11.4 - The table shows the distribution, by age and...Ch. 11.4 - The table shows the distribution, by age and...Ch. 11.4 - The table shows the distribution, by age and...Ch. 11.4 - The table shows the distribution, by age and...Ch. 11.4 - The table shows the distribution, by age and...Ch. 11.4 - The table shows the number of Americans who moved...Ch. 11.4 - The table shows the number of Americans who moved...Ch. 11.4 - Prob. 63ECh. 11.4 - The table shows the number of Americans who moved...Ch. 11.4 - The table shows the number of Americans who moved...Ch. 11.4 - The table shows the number of Americans who moved...Ch. 11.4 - The table shows the educational attainment of the...Ch. 11.4 - The table shows the educational attainment of the...Ch. 11.4 - The table shows the educational attainment of the...Ch. 11.4 - Prob. 70ECh. 11.4 - What is the sample space of an experiment? What is...Ch. 11.4 - 72. How is the theoretical probability of an event...Ch. 11.4 - Prob. 73ECh. 11.4 - Prob. 74ECh. 11.4 - Prob. 75ECh. 11.4 - Prob. 76ECh. 11.4 - Prob. 77ECh. 11.4 - 78. The president of a large company with 10,000...Ch. 11.4 - Make Sense? In Exercises 79-82, determine whether...Ch. 11.4 - Prob. 80ECh. 11.4 - Make Sense? In Exercises 79-82, determine whether...Ch. 11.4 - Prob. 82ECh. 11.4 - Prob. 83ECh. 11.4 - Some three-digit numbers, such as 101 and 313,...Ch. 11.5 - CHECK POINT I Consider the six jokes about books...Ch. 11.5 - CHECK POINT 2 Hitting the jackpot in Powerball is...Ch. 11.5 - CHECK POINT 3 A club consists of six men and four...Ch. 11.5 - Fill in each blank so that the resulting statement...Ch. 11.5 - Fill in each blank so that the resulting statement...Ch. 11.5 - Fill in each blank so that the resulting statement...Ch. 11.5 - Fill in each blank so that the resulting statement...Ch. 11.5 - Martha, Lee, Nancy, Paul, and Armando have all...Ch. 11.5 - Three men and three women line up al a checkout...Ch. 11.5 - 3. Six stand-up comics. A, B, C, D, E, and F, are...Ch. 11.5 - 4. Seven performers, A, B, C, D, E, F, and G, are...Ch. 11.5 - A group consists of four men and five women. Three...Ch. 11.5 - A political discussion group consists of five...Ch. 11.5 - Mega Millions is a multi-state lottery played in...Ch. 11.5 - Mega Millions is a multi-state lottery played in...Ch. 11.5 - Mega Millions is a multi-state lottery played in...Ch. 11.5 - Mega Millions is a multi-state lottery played in...Ch. 11.5 - 11. A box contains 25 transistors, 6 of which are...Ch. 11.5 - A committee of five people is to be formed from...Ch. 11.5 - 13. A city council consists of six Democrats and...Ch. 11.5 - 14. A parent-teacher committee consisting of four...Ch. 11.5 - Exercises 15-20 involve a deck of 52 cards. If...Ch. 11.5 - Exercises 15-20 involve a deck of 52 cards. If...Ch. 11.5 - Exercises 15-20 involve a deck of 52 cards. If...Ch. 11.5 - Exercises 15-20 involve a deck of 52 cards. If...Ch. 11.5 - Exercises 15-20 involve a deck of 52 cards. If...Ch. 11.5 - Exercises 15-20 involve a deck of 52 cards. If...Ch. 11.5 - If people understood the mathematics involving...Ch. 11.5 - 22. Write and solve an original problem involving...Ch. 11.5 - 23. Write and solve an original problem involving...Ch. 11.5 - Make Sense? In Exercises 24-27, determine whether...Ch. 11.5 - Make Sense? In Exercises 24-27, determine whether...Ch. 11.5 - Make Sense? In Exercises 24-27, determine whether...Ch. 11.5 - Make Sense? In Exercises 24-27, determine whether...Ch. 11.5 - 28. An apartment complex offers apartments with...Ch. 11.5 - 29. Suppose that it is a drawing in which the...Ch. 11.5 - The digits 1, 2, 3, 4, and 5 are randomly arranged...Ch. 11.5 - 31. In a five-card poker hand, what is the...Ch. 11.5 - Research and present a group report on state and...Ch. 11.6 - CHECKPOINT 1 If you are dealt one card from a...Ch. 11.6 - CHECK POINT 2 Use the data in Figure 11.6 to find...Ch. 11.6 - CHECK POINT 3 If one driver is randomly selected...Ch. 11.6 - CHECK POINT 3 If you roll a single, six-sided die....Ch. 11.6 - CHECK POINT4 In a group of 50 sludents.23 lake...Ch. 11.6 - CHECK POINT 5 Use Figure 11.10 to find the...Ch. 11.6 - CHECK POINT 6 If one person is randomly selected...Ch. 11.6 - CHECK POINT 7 You are dealt one card from a...Ch. 11.6 - CHECK POINT 8 The winner of a raffle will receive...Ch. 11.6 - CHECK POINT 9 The odds against a particular horse...Ch. 11.6 - 1. Because
Ch. 11.6 - Prob. 2CVCCh. 11.6 - 3. If it is possible for events A and B to occur...Ch. 11.6 - Prob. 4CVCCh. 11.6 - Prob. 5CVCCh. 11.6 - In Exercises 6-9, determine whether each statement...Ch. 11.6 - In Exercises 6-9, determine whether each statement...Ch. 11.6 - In Exercises 6-9, determine whether each statement...Ch. 11.6 - In Exercises 6-9, determine whether each statement...Ch. 11.6 - In Exercises 1-6, you are dealt one card from a 52...Ch. 11.6 - In Exercises 1-6, you are dealt one card from a 52...Ch. 11.6 - In Exercises 1-6, you are dealt one card from a...Ch. 11.6 - In Exercises 1-6, you are dealt one card from a...Ch. 11.6 - In Exercises 1-6, you are dealt one card from a...Ch. 11.6 - In Exercises 1-6, you are dealt one card from a...Ch. 11.6 - In 5-card poker, played with a standard 52-card...Ch. 11.6 - In 5-card poker, played with a standard 52-eatd...Ch. 11.6 - In 5-card poker, played with a standard 52-eatd...Ch. 11.6 - In 5-card poker, played with a standard 52-eatd...Ch. 11.6 - The graph shows the probability of cardiovascular...Ch. 11.6 - The graph shows the probability of cardiovascular...Ch. 11.6 - The table shows the distribution, by age, of a...Ch. 11.6 - The table shows the distribution, by age, of a...Ch. 11.6 - The table shows the distribution, by age, of a...Ch. 11.6 - The table shows the distribution, by age, of a...Ch. 11.6 - In Exercises 17-22, you randomly select one card...Ch. 11.6 - In Exercises 17-22, you randomly select one card...Ch. 11.6 - In Exercises 17-22, you randomly select one card...Ch. 11.6 - In Exercises 17-22, you randomly select one card...Ch. 11.6 - In Exercises 17-22, you randomly select one card...Ch. 11.6 - In Exercises 17-22, you randomly select one card...Ch. 11.6 - Prob. 23ECh. 11.6 - 24. A political discussion group consists of 30...Ch. 11.6 - In Exercises 25-26, a single die is rolled. Find...Ch. 11.6 - In Exercises 25-26, a single die is rolled. Find...Ch. 11.6 - In Exercises 27-30, you are dealt one card from a...Ch. 11.6 - In Exercises 27-30, you are dealt one card from a...Ch. 11.6 - In Exercises 27-30, you are dealt one card from a...Ch. 11.6 - In Exercises 27-30, you are dealt one card from a...Ch. 11.6 - In Exercises 31-34, it is equally probable that...Ch. 11.6 - In Exercises 31-34, it is equally probable that...Ch. 11.6 - In Exercises 31-34, it is equally probable that...Ch. 11.6 - In Exercises 31-34, it is equally probable that...Ch. 11.6 - Use this information to solve Exercises 35-38. The...Ch. 11.6 - Use this information to solve Exercises 35-38. The...Ch. 11.6 - Use this information to solve Exercises 35-38. The...Ch. 11.6 - Use this information to solve Exercises 35-38. The...Ch. 11.6 - Prob. 39ECh. 11.6 - A student is selected at random from a group of...Ch. 11.6 - The table shows the educational attainment of the...Ch. 11.6 - The table shows the educational attainment of the...Ch. 11.6 - Prob. 43ECh. 11.6 - The table shows the educational attainment of the...Ch. 11.6 - The table shows the educational attainment of the...Ch. 11.6 - 46. has completed four years of high school only...Ch. 11.6 - Find the odds in favor and the odds against a...Ch. 11.6 - Find the odds in favor and the odds against a...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 49-58, one tile is drawn from...Ch. 11.6 - In Exercises 59-62, refer to the diagram showing...Ch. 11.6 - In Exercises 59-62, refer to the diagram showing...Ch. 11.6 - In Exercises 59-62, refer to the diagram showing...Ch. 11.6 - In Exercises 59-62, refer to the diagram showing...Ch. 11.6 - In Exercises 61-64, a single die is rolled. Find...Ch. 11.6 - In Exercises 61-64, a single die is rolled. Find...Ch. 11.6 - In Exercises 61-64, a single die is rolled. Find...Ch. 11.6 - Prob. 66ECh. 11.6 - The circle graphs show the percentage of...Ch. 11.6 - The circle graphs show the percentage of...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - In Exercises 67-76, one card is randomly selected...Ch. 11.6 - 77. The winner of a raffle will receive a 21-foot...Ch. 11.6 - The winner of a raffle will receive a 30-day...Ch. 11.6 - Of the 38 plays attributed to Shakespeare, 18 are...Ch. 11.6 - Of the 38 plays attributed to Shakespeare, 18 are...Ch. 11.6 - Of the 38 plays attributed to Shakespeare, 18 are...Ch. 11.6 - Prob. 84ECh. 11.6 - Of the 38 plays attributed to Shakespeare, 18 are...Ch. 11.6 - Of the 38 plays attributed to Shakespeare, 18 are...Ch. 11.6 - Of the 38 plays attributed to Shakespeare, 18 are...Ch. 11.6 - Of the 38 plays attributed to Shakespeare, 18 are...Ch. 11.6 - Prob. 89ECh. 11.6 - If you are given odds of 3 to 7 in favor of...Ch. 11.6 - Prob. 91ECh. 11.6 - 90. The odds in favor of a person who is alive at...Ch. 11.6 - Exercises 91-92 give the odds against various...Ch. 11.6 - Exercises 91-92 give the odds against various...Ch. 11.6 - Prob. 95ECh. 11.6 - What are mutually exclusive events? Give an...Ch. 11.6 - Explain how to find or probabilities with mutually...Ch. 11.6 - Prob. 98ECh. 11.6 - Prob. 99ECh. 11.6 - Prob. 100ECh. 11.6 - Prob. 101ECh. 11.6 - Make Sense? In Exercises 100-103, determine...Ch. 11.6 - Make Sense? In Exercises 100-103, determine...Ch. 11.6 - The probability of selecting a king or a heart...Ch. 11.6 - Make Sense? In Exercises 100-103, determine...Ch. 11.6 - Prob. 106ECh. 11.6 - Prob. 107ECh. 11.6 - Prob. 108ECh. 11.7 - CHECKPOINT 1 Find the probability of green...Ch. 11.7 - CHECK POINT 2 Find the probability of a family...Ch. 11.7 - Prob. 3CPCh. 11.7 - Prob. 4CPCh. 11.7 - Prob. 5CPCh. 11.7 - CHECK POINT 6 A letter is randomly selected from...Ch. 11.7 - Prob. 7CPCh. 11.7 - $$ CHECKPOINT 8 Use the data in Table 11.7 on the...Ch. 11.7 - Fill in each blank so that the resulting statement...Ch. 11.7 - Fill in each blank so that the resulting statement...Ch. 11.7 - Prob. 3CVCCh. 11.7 - Prob. 4CVCCh. 11.7 - In Exercises 5-8, determine whether each statement...Ch. 11.7 - Prob. 6CVCCh. 11.7 - Prob. 7CVCCh. 11.7 - Prob. 8CVCCh. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - Exercises 1-26 involve probabilities with...Ch. 11.7 - In Exercises 11-14, a single die is rolled twice....Ch. 11.7 - In Exercises 11-14, a single die is rolled twice....Ch. 11.7 - In Exercises 11-14, a single die is rolled twice....Ch. 11.7 - In Exercises 11-14, a single die is rolled twice....Ch. 11.7 - In Exercises 15-20, you draw one card from a...Ch. 11.7 - In Exercises 15-20, you draw one card from a...Ch. 11.7 - In Exercises 15-20, you draw one card from a...Ch. 11.7 - In Exercises 15-20, you draw one card from a...Ch. 11.7 - In Exercises 15-20, you draw one card from a...Ch. 11.7 - In Exercises 15-20, you draw one card from a...Ch. 11.7 - If you toss a fair coin six times, what is the...Ch. 11.7 - If you toss a fair coin seven times, what is the...Ch. 11.7 - In Exercises 23-24, a coin is tossed and a die is...Ch. 11.7 - In Exercises 23-24, a coin is tossed and a die is...Ch. 11.7 - The probability that South Florida will be hit by...Ch. 11.7 - 26. The probability that a region prone to...Ch. 11.7 - Exercises 33-48 involve probabilities with...Ch. 11.7 - Exercises 33-48 involve probabilities with...Ch. 11.7 - Exercises 33-48 involve probabilities with...Ch. 11.7 - Exercises 33-48 involve probabilities with...Ch. 11.7 - Exercises 33-48 involve probabilities with...Ch. 11.7 - Exercises 33-48 involve probabilities with...Ch. 11.7 - Exercises 33-48 involve probabilities with...Ch. 11.7 - The graph shows that U.S. adults dependent on...Ch. 11.7 - In Exercises 37-42, consider a political...Ch. 11.7 - In Exercises 37-42, consider a political...Ch. 11.7 - In Exercises 43-48, an ice chest contains six cans...Ch. 11.7 - In Exercises 43-48, an ice chest contains six cans...Ch. 11.7 - In Exercises 43-48, an ice chest contains six cans...Ch. 11.7 - In Exercises 43-48, an ice chest contains six cans...Ch. 11.7 - In Exercises 43-48, an ice chest contains six cans...Ch. 11.7 - In Exercises 43-48, an ice chest contains six cans...Ch. 11.7 - Prob. 43ECh. 11.7 - In Exercises 43-48. two tiles are drawn in...Ch. 11.7 - In Exercises 43-48. two tiles are drawn in...Ch. 11.7 - In Exercises 43-48. two tiles are drawn in...Ch. 11.7 - In Exercises 43-48. two tiles are drawn in...Ch. 11.7 - In Exercises 43-48. two tiles are drawn in...Ch. 11.7 - In Exercises 49-52, three tiles are drawn in...Ch. 11.7 - In Exercises 49-52, three tiles are drawn in...Ch. 11.7 - In Exercises 49-52, three tiles are drawn in...Ch. 11.7 - In Exercises 49-52, three tiles are drawn in...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - In Exercises 49-56, the numbered disks shown are...Ch. 11.7 - The table shows the outcome of car accidents in...Ch. 11.7 - The table shows the outcome of car accidents in...Ch. 11.7 - The table shows the outcome of car accidents in...Ch. 11.7 - Find the probability of not wearing a seat belt,...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Shown again is the table indicating the marital...Ch. 11.7 - Prob. 73ECh. 11.7 - In Exercises 49-52, three tiles are drawn in...Ch. 11.7 - Prob. 75ECh. 11.7 - Prob. 76ECh. 11.7 - 73. Probabilities and Coincidence of Shared...Ch. 11.7 - 74. Explain how to find and probabilities with...Ch. 11.7 - Prob. 79ECh. 11.7 - 76. What docs mean? Give an example.
Ch. 11.7 - Prob. 81ECh. 11.7 - Prob. 82ECh. 11.7 - Prob. 83ECh. 11.7 - Prob. 84ECh. 11.7 - In Exercises 77-81, write a probability problem...Ch. 11.7 - Make Sense? In Exercises 82-85, determine whether...Ch. 11.7 - Prob. 87ECh. 11.7 - Prob. 88ECh. 11.7 - Make Sense? In Exercises 82-85, determine whether...Ch. 11.7 - 86. If the probability of being hospitalized...Ch. 11.7 - If a single die is rolled five times, what is the...Ch. 11.7 - 88. Nine cards numbered from 1 through 9 are...Ch. 11.7 - If a single die is rolled twice, find the...Ch. 11.8 - CHECK POINT 1 It is equally probable that a...Ch. 11.8 - CHECK POINT 2 A fair coin is tossed four times in...Ch. 11.8 - CHECK POINT 3 Work Example 3 again if the...Ch. 11.8 - CHECK POINT 4 The SAT is a multiple-choice lest....Ch. 11.8 - CHECK POINT 5 A charily is holding a raffle and...Ch. 11.8 - CHECK POINT 6 In the game of one-spot keno, a card...Ch. 11.8 - Fill in each blank so that the resulting statement...Ch. 11.8 - To find the expected value of a game of chance,...Ch. 11.8 - In Exercises 3-4, determine whether each statement...Ch. 11.8 - In Exercises 3-4, determine whether each statement...Ch. 11.8 - In Exercises 1-2, the numbers that each pointer...Ch. 11.8 - In Exercises 1-2, the numbers that each pointer...Ch. 11.8 - The tables in Exercises 3-4 show claims and their...Ch. 11.8 - The tables in Exercises 3-4 show claims and their...Ch. 11.8 - An architect is considering bidding for the design...Ch. 11.8 - A construction company is planning to bid on a...Ch. 11.8 - It is estimated that there are 27 deaths for every...Ch. 11.8 - 8. A 25-year-old can purchase a one-year life...Ch. 11.8 - Exercises 9-10 are related to the SAT, described...Ch. 11.8 - Exercises 9-10 are related to the SAT, described...Ch. 11.8 - 11. A store specializing in mountain bikes is to...Ch. 11.8 - An oil company is considering two sites on which...Ch. 11.8 - 13. In a product liability case, a company can...Ch. 11.8 - A service that repairs air conditioners sells...Ch. 11.8 - Exercises 15-19 involve computing expected values...Ch. 11.8 - Exercises 15-19 involve computing expected values...Ch. 11.8 - Exercises 15-19 involve computing expected values...Ch. 11.8 - Exercises 15-19 involve computing expected values...Ch. 11.8 - Exercises 15-19 involve computing expected values...Ch. 11.8 - What does the expected value for the outcome of...Ch. 11.8 - 21. Explain how to find the expected value for the...Ch. 11.8 - Prob. 22ECh. 11.8 - Prob. 23ECh. 11.8 - Prob. 24ECh. 11.8 - Prob. 25ECh. 11.8 - Make Sense? In Exercises 26-29, determine whether...Ch. 11.8 - Prob. 27ECh. 11.8 - Make Sense? In Exercises 26-29, determine whether...Ch. 11.8 - Make Sense? In Exercises 26-29, determine whether...Ch. 11.8 - A popular state lottery is the 5/35 lottery,...Ch. 11.8 - Refer to the probabilities of dying at any given...Ch. 11 - A restaurant offers 20 appetizers and 40 main...Ch. 11 - A popular brand of pen comes in red, green, blue,...Ch. 11 - In how many ways can first and second prize be...Ch. 11 - 4. You are answering three multiple-choice...Ch. 11 - A stock can go up, go down, or stay unchanged. How...Ch. 11 - A person can purchase a condominium with a choice...Ch. 11 - In Exercises 7-10, evaluate each factorial...Ch. 11 - In Exercises 7-10, evaluate each factorial...Ch. 11 - In Exercises 7-10, evaluate each factorial...Ch. 11 - In Exercises 7-10, evaluate each factorial...Ch. 11 - In Exercises 11-12, use the formula for nPr to...Ch. 11 - In Exercises 11-12, use the formula for n P r to...Ch. 11 - In Exercises 13-14, use the formula for n C r to...Ch. 11 - In Exercises 13-14, use the formula for to...Ch. 11 - In Exercises 15-17, does the problem involve...Ch. 11 - In Exercises 15-17, does the problem involve...Ch. 11 - In Exercises 15-17, does the problem involve...Ch. 11 - In Exercises 18-28, solve each method. Six acts...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - In Exercises 18-28, solve each problem using an...Ch. 11 - Prob. 28RECh. 11 - In Exercises 29-32, a die is rolled. Find the...Ch. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - 45. If cities A, B, C, and Dare visited in random...Ch. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - If you are dealt 3 cards from a shuffled deck of...Ch. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - In Exercises 53-57,a die is rolled. Find the...Ch. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - In Exercises 64-69, it is equally probable that...Ch. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - In Exercises 64-69, it is equally probable that...Ch. 11 - Prob. 70RECh. 11 - Use this information to solve Exercises 70-71.At a...Ch. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Prob. 76RECh. 11 - Prob. 77RECh. 11 - Prob. 78RECh. 11 - Use the spinner shown to solve Exercises 79-83. It...Ch. 11 - Prob. 80RECh. 11 - Prob. 81RECh. 11 - Prob. 82RECh. 11 - Prob. 83RECh. 11 - Prob. 84RECh. 11 - Prob. 85RECh. 11 - Prob. 86RECh. 11 - Prob. 87RECh. 11 - Prob. 88RECh. 11 - Prob. 89RECh. 11 - 90. A letter is randomly selected from the letters...Ch. 11 - Prob. 91RECh. 11 - Prob. 92RECh. 11 - The data in the table are based on 145 Americans...Ch. 11 - Prob. 94RECh. 11 - Prob. 95RECh. 11 - Prob. 96RECh. 11 - Prob. 97RECh. 11 - The data in the table are based on 145 Americans...Ch. 11 - Prob. 99RECh. 11 - Prob. 100RECh. 11 - Prob. 101RECh. 11 - Prob. 102RECh. 11 - Prob. 103RECh. 11 - In Exercises 100-106, use data in the table to...Ch. 11 - Prob. 105RECh. 11 - Prob. 106RECh. 11 - Prob. 107RECh. 11 - The table shows claims and their probabilities for...Ch. 11 - Prob. 109RECh. 11 - A game is played using a fair coin that is tossed...Ch. 11 - 1. A person can purchase a particular model of a...Ch. 11 - 2. Four acts are scheduled to perform in a variety...Ch. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - Prob. 12TCh. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - 15. A region is prone to flooding once every 20...Ch. 11 - Prob. 16TCh. 11 - Prob. 17TCh. 11 - Prob. 18TCh. 11 - Prob. 19TCh. 11 - Prob. 20TCh. 11 - Prob. 21TCh. 11 - Prob. 22TCh. 11 - Prob. 23TCh. 11 - Prob. 24TCh. 11 - Prob. 25TCh. 11 - Prob. 26TCh. 11 - Prob. 27TCh. 11 - Prob. 28T
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- . The two person game of slither is played on a graph. Players 1 and 2 take turns, building a path in the graph. To start, Player 1 picks a vertex. Player 2 then picks an edge incident to the vertex. Then, starting with Player 1, players alternate turns, picking a vertex not already selected that is adjacent to one of the ends of the path created so far. The first player who cannot select a vertex loses. (This happens when all neighbors of the end vertices of the path are on the path.) Prove that Player 2 has a winning strategy if the graph has a perfect matching and Player 1 has a winning strategy if the graph does not have a perfect matching. In each case describe a strategy for the winning player that guarantees that they will always be able to select a vertex. The strategy will be based on using a maximum matching to decide the next choice, and will, for one of the cases involve using the fact that maximality means no augmenting paths. Warning, the game slither is often described…arrow_forwardLet D be a directed graph, with loops allowed, for which the indegree at each vertex is at most k and the outdegree at each vertex is at most k. Prove that the arcs of D can be colored so that the arcs entering each vertex must have distinct colors and the arcs leaving each vertex have distinct colors. An arc entering a vertex may have the same color as an arc leaving it. It is probably easiest to make use of a known result about edge coloring. Think about splitting each vertex into an ‘in’ and ‘out’ part and consider what type of graph you get.arrow_forward3:56 wust.instructure.com Page 0 Chapter 5 Test Form A of 2 - ZOOM + | Find any real numbers for which each expression is undefined. 2x 4 1. x Name: Date: 1. 3.x-5 2. 2. x²+x-12 4x-24 3. Evaluate when x=-3. 3. x Simplify each rational expression. x²-3x 4. 2x-6 5. x²+3x-18 x²-9 6. Write an equivalent rational expression with the given denominator. 2x-3 x²+2x+1(x+1)(x+2) Perform the indicated operation and simplify if possible. x²-16 x-3 7. 3x-9 x²+2x-8 x²+9x+20 5x+25 8. 4.x 2x² 9. x-5 x-5 3 5 10. 4x-3 8x-6 2 3 11. x-4 x+4 x 12. x-2x-8 x²-4 ← -> Copyright ©2020 Pearson Education, Inc. + 5 4. 5. 6. 7. 8. 9. 10. 11. 12. T-97arrow_forward
- please work out more details give the solution.arrow_forwardProblem #5 Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times. a). How many ways result in 6 tails and 2 heads? b). How many ways result in 2 tails and 6 heads? c). Compare your answers to part (a) and (b) and explain in a few sentences why the comparison makes sense.arrow_forwardBurger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 30 customers per hour. Burger Dome also studied the order-filling process and found that a single employee can process an average of 44 customer orders per hour. Burger Dome is concerned that the methods currently used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help determine the best approach to reduce waiting times and improve service. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an…arrow_forward
- PEER REPLY 1: Choose a classmate's Main Post. 1. Indicate a range of values for the independent variable (x) that is reasonable based on the data provided. 2. Explain what the predicted range of dependent values should be based on the range of independent values.arrow_forwardNote: A waiting line model solver computer package is needed to answer these questions. The Kolkmeyer Manufacturing Company uses a group of six identical machines, each of which operates an average of 18 hours between breakdowns. With randomly occurring breakdowns, the Poisson probability distribution is used to describe the machine breakdown arrival process. One person from the maintenance department provides the single-server repair service for the six machines. Management is now considering adding two machines to its manufacturing operation. This addition will bring the number of machines to eight. The president of Kolkmeyer asked for a study of the need to add a second employee to the repair operation. The service rate for each individual assigned to the repair operation is 0.50 machines per hour. (a) Compute the operating characteristics if the company retains the single-employee repair operation. (Round your answers to four decimal places. Report time in hours.) La = L = Wa = W =…arrow_forward10 20 30 y vernier protractor scales. 60 30 0 30 60 40 30 20 10 0 30 60 0 10. Write the complement of each of the following angles. a. 67° b. 17°41' 11. Write the supplement of each of the following angles. a.41° b.99°32' 30 60 C. 20 10 20 90 60 30 69 30 30 40 50 c. 54°47' 53" 0 30 60 c. 103°03'27" 12. Given: AB CD and EF GH. Determine the value of each angle, 21 through /10, to the nearer minute. A- 25 21 = 22 = 23 = 24 = 25 = 46= 27 = C 28 = 29 = 210 = E 26 22 210 81°00' 29 4 142°00' G H 94°40' B Darrow_forward
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