Finite Mathematics (11th Edition)
11th Edition
ISBN: 9780321979438
Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey
Publisher: PEARSON
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Chapter 7.1, Problem 22E
To determine
Number of subsets of B = { 2 , 4 , 8 , 10 }
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Chapter 7 Solutions
Finite Mathematics (11th Edition)
Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...Ch. 7.1 - In Exercises 1-10, write true or false for each...
Ch. 7.1 - Prob. 11ECh. 7.1 - Prob. 12ECh. 7.1 - Prob. 13ECh. 7.1 - Prob. 14ECh. 7.1 - Prob. 15ECh. 7.1 - Let A = {2, 4, 6, 10, 12}, B = {2, 4, 8, 10}, C =...Ch. 7.1 - Prob. 17ECh. 7.1 - Prob. 18ECh. 7.1 - Prob. 19ECh. 7.1 - What is set-builder notation? Give an example.Ch. 7.1 - Prob. 21ECh. 7.1 - Prob. 22ECh. 7.1 - Prob. 23ECh. 7.1 - Prob. 24ECh. 7.1 - Insert or to make each statement true. {5, 7, 9,...Ch. 7.1 - Prob. 26ECh. 7.1 - Prob. 27ECh. 7.1 - Prob. 28ECh. 7.1 - Prob. 29ECh. 7.1 - Insert ⋂ or ⋃ to make each statement true.
30. {3,...Ch. 7.1 - Prob. 31ECh. 7.1 - Insert ⋂ or ⋃ to make each statement true.
32. {0,...Ch. 7.1 - Prob. 33ECh. 7.1 - Prob. 34ECh. 7.1 - Prob. 35ECh. 7.1 - Prob. 36ECh. 7.1 - Prob. 37ECh. 7.1 - Let U = {1, 2, 3, 4, 5,6,7,8, 9}, x = {2, 4, 6,...Ch. 7.1 - Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, x = {2, 4, 6,...Ch. 7.1 - Prob. 40ECh. 7.1 - Prob. 41ECh. 7.1 - Prob. 42ECh. 7.1 - Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, x = {2, 4, 6,...Ch. 7.1 - Prob. 44ECh. 7.1 - Prob. 45ECh. 7.1 - Explain in words why (A B) (A B') = A.Ch. 7.1 - Prob. 47ECh. 7.1 - Prob. 48ECh. 7.1 - Prob. 49ECh. 7.1 - Prob. 50ECh. 7.1 - Prob. 51ECh. 7.1 - Prob. 52ECh. 7.1 - Prob. 53ECh. 7.1 - Prob. 54ECh. 7.1 - Prob. 55ECh. 7.1 - Prob. 56ECh. 7.1 - Prob. 57ECh. 7.1 - Let B = {a, b, c, {d}, {e, }}, Answer each of the...Ch. 7.1 - Mutual Funds The tables below show five of the...Ch. 7.1 - Mutual Funds The tables below show five of the...Ch. 7.1 - Mutual Funds The tables below show five of the...Ch. 7.1 - Mutual Funds The tables below show five of the...Ch. 7.1 - 63. Sales Calls Suppose that Carolyn Gogolin has...Ch. 7.1 - Health The following table shows some symptoms of...Ch. 7.1 - Health The following table shows some symptoms of...Ch. 7.1 - Health The following table shows some symptoms of...Ch. 7.1 - Health The following table shows some symptoms of...Ch. 7.1 - Health The following table shows some symptoms of...Ch. 7.1 - APPLY IT Electoral College U.S. presidential...Ch. 7.1 - General Interest Musicians A concert featured a...Ch. 7.1 - Television Cable Services The following table...Ch. 7.1 - Television Cable Services The following table...Ch. 7.1 - Television Cable Services The following table...Ch. 7.1 - Television Cable Services The following table...Ch. 7.1 - Television Cable Services The following table...Ch. 7.1 - Prob. 76ECh. 7.1 - 77. Games In David Gale's game of Subset Takeaway,...Ch. 7.1 - States In the following list of states, let A =...Ch. 7.1 - States In the following list of states, let A =...Ch. 7.2 - Prob. 1ECh. 7.2 - Prob. 2ECh. 7.2 - Prob. 3ECh. 7.2 - Prob. 4ECh. 7.2 - Prob. 5ECh. 7.2 - Prob. 6ECh. 7.2 - Prob. 7ECh. 7.2 - Prob. 8ECh. 7.2 - Prob. 9ECh. 7.2 - 10. What does the notation n(A) represent?
Ch. 7.2 - Prob. 11ECh. 7.2 - Prob. 12ECh. 7.2 - Prob. 13ECh. 7.2 - Prob. 14ECh. 7.2 - Prob. 15ECh. 7.2 - Prob. 16ECh. 7.2 - Prob. 17ECh. 7.2 - Prob. 18ECh. 7.2 - Prob. 19ECh. 7.2 - Prob. 20ECh. 7.2 - Use the union rule to answer the following...Ch. 7.2 - Prob. 22ECh. 7.2 - Prob. 23ECh. 7.2 - Prob. 24ECh. 7.2 - Prob. 25ECh. 7.2 - Prob. 26ECh. 7.2 - Prob. 27ECh. 7.2 - Prob. 28ECh. 7.2 - Prob. 29ECh. 7.2 - Prob. 30ECh. 7.2 - Prob. 31ECh. 7.2 - Prob. 32ECh. 7.2 - Prob. 33ECh. 7.2 - Prob. 34ECh. 7.2 - Prob. 35ECh. 7.2 - Prob. 36ECh. 7.2 - Prob. 37ECh. 7.2 - In Figure 8, let U = {all humans who have ever...Ch. 7.2 - Prob. 39ECh. 7.2 - 40. Cooking Preferences Jeff Friedman, of Example...Ch. 7.2 - 41. Harvesting Fruit Toward the middle of the...Ch. 7.2 - Prob. 42ECh. 7.2 - Investment Habits The following table shows the...Ch. 7.2 - Investment Survey Most mathematics professors love...Ch. 7.2 - Genetics After a genetics experiment on 50 pea...Ch. 7.2 - Prob. 46ECh. 7.2 - Prob. 47ECh. 7.2 - Prob. 48ECh. 7.2 - Prob. 49ECh. 7.2 - Lyme Disease Scientists have found a way to...Ch. 7.2 - Military The number of female military personnel...Ch. 7.2 - Prob. 52ECh. 7.2 - Prob. 53ECh. 7.2 - Prob. 54ECh. 7.2 - Prob. 55ECh. 7.2 - Prob. 56ECh. 7.2 - Prob. 57ECh. 7.2 - Prob. 58ECh. 7.2 - Prob. 59ECh. 7.2 - Prob. 60ECh. 7.2 - Prob. 61ECh. 7.2 - Prob. 62ECh. 7.2 - Prob. 63ECh. 7.3 - 1. What is meant by a "fair" coin or die ?
Ch. 7.3 - What is the sample space for an experiment?Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - Write sample spaces for the experiments in...Ch. 7.3 - 11. Define an event.
Ch. 7.3 - What is a simple event?Ch. 7.3 - For the experiments in Exercises 18, write out the...Ch. 7.3 - For the experiments in Exercises 13-18, write out...Ch. 7.3 - For the experiments in Exercises 13-18, write out...Ch. 7.3 - For the experiments in Exercises 13-18, write out...Ch. 7.3 - For the experiments in Exercises 13-18, write out...Ch. 7.3 - For the experiments in Exercises 13- write out the...Ch. 7.3 - A single fair die is rolled. Find the...Ch. 7.3 - A single fair die is rolled. Find the...Ch. 7.3 - Prob. 21ECh. 7.3 - Prob. 22ECh. 7.3 - Prob. 23ECh. 7.3 - A single fair die is rolled. Find the...Ch. 7.3 - A card is drawn from a well-shuffled deck of 52...Ch. 7.3 - A card is drawn from a well-shuffled deck of 52...Ch. 7.3 - Prob. 27ECh. 7.3 - A card is drawn from a well-shuffled deck of 52...Ch. 7.3 - Prob. 29ECh. 7.3 - A card is drawn from a well-shuffled deck of 52...Ch. 7.3 - Prob. 31ECh. 7.3 - A card is drawn from a well-shuffled deck of 52...Ch. 7.3 - Prob. 33ECh. 7.3 - A card is drawn from a well-shuffled deck of 52...Ch. 7.3 - A jar contains 3 white, 4 orange, 5 yellow, and 8...Ch. 7.3 - Prob. 36ECh. 7.3 - Prob. 37ECh. 7.3 - Prob. 38ECh. 7.3 - Prob. 39ECh. 7.3 - A jar contains 3 white, 4 orange, 5 yellow, and 8...Ch. 7.3 - Prob. 41ECh. 7.3 - Which of Exercises 41-48 are examples of empirical...Ch. 7.3 - Prob. 43ECh. 7.3 - Prob. 44ECh. 7.3 - Which of Exercises 41-48 are examples of empirical...Ch. 7.3 - Prob. 46ECh. 7.3 - Prob. 47ECh. 7.3 - Prob. 48ECh. 7.3 - Prob. 49ECh. 7.3 - Prob. 50ECh. 7.3 - Prob. 51ECh. 7.3 - Prob. 52ECh. 7.3 - Prob. 53ECh. 7.3 - Labor Force The 2012 and the 2022 (projected)...Ch. 7.3 - 55. Medical Survey For a medical experiment,...Ch. 7.3 - Medical Survey Refer to Exercise 55. Describe each...Ch. 7.3 - 57. Causes of Death There were 2,468,435 U.S....Ch. 7.3 - APPLY IT U.S. Population The projected U.S....Ch. 7.3 - 59. Congressional Service The following table...Ch. 7.3 - 60. Civil War Estimates of the Union Army's...Ch. 7.3 - Prob. 61ECh. 7.3 - Prob. 62ECh. 7.3 - Poultry Analysis Exercise 63 of the previous...Ch. 7.4 - Define mutually exclusive events in your own...Ch. 7.4 - Explain the union rule for mutually exclusive...Ch. 7.4 - Decide whether the events in Exercises 3-8 are...Ch. 7.4 - Decide whether the events in Exercises 3-8 are...Ch. 7.4 - Decide whether the events in Exercises 3-8 are...Ch. 7.4 - Decide whether the events in Exercises 3-8 are...Ch. 7.4 - Decide whether the events in Exercises 3-8 are...Ch. 7.4 - Decide whether the events in Exercises 3-8 are...Ch. 7.4 - Two dice are rolled. Find the probabilities of...Ch. 7.4 - Two dice are rolled. Find the probabilities of...Ch. 7.4 - Two dice are rolled. Find the probabilities of...Ch. 7.4 - Two dice are rolled. Find the probabilities of...Ch. 7.4 - Two dice are rolled. Find the probabilities of the...Ch. 7.4 - Two dice are rolled. Find the probabilities of the...Ch. 7.4 - One card is drawn from an ordinary deck of 52...Ch. 7.4 - One card is drawn from an ordinary deck of 52...Ch. 7.4 - Kristina Karganova invites 13 relatives to a...Ch. 7.4 - Kristina Karganova invites 13 relatives to a...Ch. 7.4 - The numbers 1, 2, 3, 4, and 5 are written on slips...Ch. 7.4 - The numbers 1, 2, 3, 4, and 5 are written on slips...Ch. 7.4 - Use Venn diagrams to work Exercises and 22....Ch. 7.4 - Use Venn diagrams to work Exercises 21 and Let...Ch. 7.4 - Prob. 23ECh. 7.4 - Prob. 24ECh. 7.4 - Define what is meant by odds.Ch. 7.4 - Prob. 26ECh. 7.4 - Prob. 27ECh. 7.4 - A single fair die is rolled. Find the odds in...Ch. 7.4 - A single fair die is rolled. Find the odds in...Ch. 7.4 - A single fair die is rolled. Find the odds in...Ch. 7.4 - 31. A marble is drawn from a box containing 3...Ch. 7.4 - Two dice are rolled. Find the odds of rolling the...Ch. 7.4 - What is a probability distribution?Ch. 7.4 - Prob. 34ECh. 7.4 - An experiment is conducted for which the sample...Ch. 7.4 - Prob. 36ECh. 7.4 - Prob. 37ECh. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - An experiment is conducted for which the sample...Ch. 7.4 - Prob. 41ECh. 7.4 - Prob. 42ECh. 7.4 - Prob. 43ECh. 7.4 - One way to solve a probability problem is to...Ch. 7.4 - 45. The following description of the classic...Ch. 7.4 - You are given P(A B) = 0.7 and P(A B') = 0.9....Ch. 7.4 - 47. Defective Merchandise Suppose that 8% of a...Ch. 7.4 - Prob. 48ECh. 7.4 - Prob. 49ECh. 7.4 - Employment The table shows the projected...Ch. 7.4 - 51. Labor Force The following table gives the 2018...Ch. 7.4 - Prob. 52ECh. 7.4 - Prob. 53ECh. 7.4 - Prob. 54ECh. 7.4 - Genetics Mendel found no dominance in snapdragons,...Ch. 7.4 - Prob. 56ECh. 7.4 - 57. Doctor Visit The probability that a visit to a...Ch. 7.4 - Prob. 58ECh. 7.4 - Prob. 59ECh. 7.4 - Presidential Candidates In 2002, The New York...Ch. 7.4 - Prob. 61ECh. 7.4 - Prob. 62ECh. 7.4 - Prob. 63ECh. 7.4 - Prob. 64ECh. 7.4 - Prob. 65ECh. 7.4 - Military There were 205,586 female military...Ch. 7.4 - Prob. 67ECh. 7.4 - 68. Perceptions of Threat Research has been...Ch. 7.4 - Prob. 69ECh. 7.4 - Prob. 70ECh. 7.4 - Prob. 71ECh. 7.5 - If a single fair die is rolled, find the...Ch. 7.5 - If a single fair die is rolled, find the...Ch. 7.5 - If a single fair die is rolled, find the...Ch. 7.5 - If a single fair die is rolled, find the...Ch. 7.5 - If two fair dice are rolled, find the...Ch. 7.5 - If two fair dice are rolled, find the...Ch. 7.5 - If two fair dice are rolled, find the...Ch. 7.5 - If two fair dice are rolled, find the...Ch. 7.5 - If two cards are drawn without replacement from an...Ch. 7.5 - If two cards are drawn without replacement from an...Ch. 7.5 - Prob. 11ECh. 7.5 - If two cards are drawn without replacement from an...Ch. 7.5 - If two cards are drawn without replacement from an...Ch. 7.5 - If two cards are drawn without replacement from an...Ch. 7.5 - If two cards are drawn without replacement from an...Ch. 7.5 - If two cards are drawn without replacement from an...Ch. 7.5 -
17. In your own words, explain how to find the...Ch. 7.5 - In your own words, define independent events.Ch. 7.5 - Decide whether the following pairs of events are...Ch. 7.5 - Decide whether the following pairs of events are...Ch. 7.5 - Decide whether the following pairs of events are...Ch. 7.5 - Decide whether the following pairs of events are...Ch. 7.5 - In the previous section, we described an...Ch. 7.5 - In the previous section, we described an...Ch. 7.5 - Suppose two dice are rolled. Let A be the event...Ch. 7.5 - Prob. 26ECh. 7.5 - 27. Another friend asks you to explain how to tell...Ch. 7.5 - Prob. 28ECh. 7.5 - 29. Let A and B be independent events with and ...Ch. 7.5 - If A and B are events such that P(A) = 0.5 and P(A...Ch. 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 -
Business and Economics
Banking The Midtown Bank...Ch. 7.5 - Prob. 38ECh. 7.5 - Prob. 39ECh. 7.5 -
Business and Economics
Banking The Midtown Bank...Ch. 7.5 - Prob. 41ECh. 7.5 - Prob. 42ECh. 7.5 - Prob. 43ECh. 7.5 - Prob. 44ECh. 7.5 -
Quality Control A bicycle factory runs two...Ch. 7.5 - Prob. 46ECh. 7.5 - Prob. 47ECh. 7.5 - Prob. 48ECh. 7.5 - Prob. 49ECh. 7.5 -
Genetics Assuming that boy and girl babies are...Ch. 7.5 - Prob. 51ECh. 7.5 - Genetics Assuming that boy and girl babies are...Ch. 7.5 - Prob. 53ECh. 7.5 - Prob. 54ECh. 7.5 - Color Blindness The following table shows...Ch. 7.5 - Prob. 56ECh. 7.5 - Prob. 57ECh. 7.5 - Prob. 58ECh. 7.5 - Prob. 59ECh. 7.5 -
Color Blindness The following table shows...Ch. 7.5 - Prob. 61ECh. 7.5 - Prob. 62ECh. 7.5 - Prob. 63ECh. 7.5 - Prob. 64ECh. 7.5 - Hockey The table below lists the number of head...Ch. 7.5 - Prob. 66ECh. 7.5 - Prob. 67ECh. 7.5 - Prob. 68ECh. 7.5 - Prob. 69ECh. 7.5 - Prob. 70ECh. 7.5 - Prob. 71ECh. 7.5 -
Social Sciences
72. Working Women A survey has...Ch. 7.5 - Prob. 73ECh. 7.5 - Prob. 74ECh. 7.5 - Prob. 75ECh. 7.5 - Prob. 76ECh. 7.5 - Prob. 77ECh. 7.5 -
78. Real Estate A real estate agent trying to...Ch. 7.5 - Prob. 79ECh. 7.5 - Prob. 80ECh. 7.5 - Diet Soft Drinks Two-thirds of the population are...Ch. 7.5 - Prob. 82ECh. 7.5 - Prob. 83ECh. 7.5 -
84. Speeding Tickets A smooth-talking young man...Ch. 7.5 - Prob. 85ECh. 7.5 - Prob. 86ECh. 7.5 - Prob. 87ECh. 7.5 - Prob. 88ECh. 7.5 - Prob. 89ECh. 7.5 - Prob. 90ECh. 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 -
Job Qualifications Of all the people applying...Ch. 7.6 - Prob. 11ECh. 7.6 - Prob. 12ECh. 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 - Mortgage Defaults A bank finds that the...Ch. 7.6 - Prob. 23ECh. 7.6 - Hepatitis Blood Test The probability that a person...Ch. 7.6 - Prob. 25ECh. 7.6 - Prob. 26ECh. 7.6 - Prob. 27ECh. 7.6 - Prob. 28ECh. 7.6 - Prob. 29ECh. 7.6 - Circulation The probability that a randomly chosen...Ch. 7.6 - Prob. 31ECh. 7.6 - Prob. 32ECh. 7.6 - Prob. 33ECh. 7.6 - Prob. 34ECh. 7.6 - Children's Economic Situation The Following table...Ch. 7.6 - Prob. 36ECh. 7.6 - Prob. 37ECh. 7.6 - Prob. 38ECh. 7.6 - Prob. 39ECh. 7.6 - 40. Three Prisoners The famous "problem of three...Ch. 7 -
1. Find the probability that a randomly...Ch. 7 - Prob. 2EACh. 7 - Prob. 3EACh. 7 - Prob. 4EACh. 7 - Prob. 5EACh. 7 - Prob. 1RECh. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - Determine whether each of the following statements...Ch. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 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 -
In Exercises 23-32, let U = {a, b, c, d, e, f, g,...Ch. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - Prob. 31RECh. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 43RECh. 7 - Prob. 44RECh. 7 - Prob. 45RECh. 7 - Prob. 46RECh. 7 - Prob. 47RECh. 7 - Prob. 48RECh. 7 - Prob. 49RECh. 7 - Prob. 50RECh. 7 - Prob. 51RECh. 7 - Prob. 52RECh. 7 - Prob. 53RECh. 7 - Prob. 54RECh. 7 - Prob. 55RECh. 7 - Prob. 56RECh. 7 - Prob. 57RECh. 7 - Prob. 58RECh. 7 - Prob. 59RECh. 7 - Prob. 60RECh. 7 - How are disjoint sets and mutually exclusive...Ch. 7 -
62. Define independent events.
Ch. 7 - Prob. 63RECh. 7 - Prob. 64RECh. 7 - Prob. 65RECh. 7 - Prob. 66RECh. 7 - Prob. 67RECh. 7 - Prob. 68RECh. 7 - Prob. 69RECh. 7 - Prob. 70RECh. 7 - Prob. 71RECh. 7 - Prob. 72RECh. 7 - Prob. 73RECh. 7 - Find the probabilities of getting the following...Ch. 7 - Prob. 75RECh. 7 - Prob. 76RECh. 7 - Prob. 77RECh. 7 - Prob. 78RECh. 7 - Prob. 79RECh. 7 - Prob. 80RECh. 7 - Prob. 81RECh. 7 - Prob. 82RECh. 7 - Prob. 83RECh. 7 - Prob. 84RECh. 7 - Prob. 85RECh. 7 - Prob. 86RECh. 7 - Prob. 87RECh. 7 - Prob. 88RECh. 7 - Prob. 89RECh. 7 - Prob. 90RECh. 7 - Prob. 91RECh. 7 - Prob. 92RECh. 7 - Prob. 93RECh. 7 - Prob. 94RECh. 7 - Prob. 95RECh. 7 - Prob. 96RECh. 7 - Prob. 97RECh. 7 - Prob. 98RECh. 7 - Prob. 99RECh. 7 - Prob. 100RECh. 7 - Prob. 101RECh. 7 - Prob. 102RECh. 7 - Prob. 103RECh. 7 - Prob. 104RECh. 7 - Prob. 105RECh. 7 - Prob. 106RECh. 7 - Auto Insurance An insurance company examines its...Ch. 7 - Auto Insurance An auto insurance company has...Ch. 7 - Auto Insurance An actuary studying the insurance...Ch. 7 -
110. Insurance An insurance company estimates...Ch. 7 -
111. Sickle Cell Anemia The table shows the four...Ch. 7 - Prob. 112RECh. 7 - Risk Factors An actuary is studying the prevalence...Ch. 7 - Social Sciences Elections In the 2012 presidential...Ch. 7 - Prob. 115RECh. 7 - Prob. 116RECh. 7 - Prob. 117RECh. 7 - Prob. 118RECh. 7 - Prob. 119RECh. 7 -
120. Making a First Down A first down is...Ch. 7 - Prob. 121RECh. 7 - Prob. 122RECh. 7 - Prob. 123RECh. 7 - Prob. 124RECh. 7 - Prob. 125RE
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- 1. For the following subsets of R3, explain whether or not they are a subspace of R³. (a) (b) 1.1 0.65 U = span -3.4 0.23 0.4 -0.44 0 (})} a V {(2) | ER (c) Z= the points in the z-axisarrow_forwardShow that i cote +1 = cosec 20 tan 20+1 = sec² O २ cos² + sin 20 = 1 using pythagon's theoremarrow_forwardThis is my h/w ,Required to find the region of shaded sector ,I don't really know how to deal with this tasks ,so if someone could help me to understand them it would be awesome,and sorry for my poor Englisharrow_forward
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- 2. In a computer network some pairs of computers are connected by network cables. Your goal is to set up the computers so that messages can be sent quickly from any computer to any other computer. For this you have identified each of the n com- puters uniquely with a number between 1 and n, and have decided that a message should consist of two such numbers, identifying the sender and the recipient, fol- lowed by the content of the message. As cables are relatively short, you can assume that sending a message across a single cable takes an amount of time that is the same irrespective of the length of the cable. You can further assume that at most one message travels between computer at any point, so that you don't have to worry about inference among messages. (a) Define a graph or network that models the computer network and allows you to answer the remaining parts of this question. (b) Consider two computers, a sender and a recipient. Using the graph or network you have defined,…arrow_forward3. A spreadsheet consists of cells indexed by a row and a column. Each cell contains either a value or a formula that depends on the values of other cells. (a) Describe a graph, digraph, or network that models an arbitrary spreadsheet and allows you to answer the remaining parts of this question. (b) Explain, by referring to the graph, digraph, or network, when it is possible to change the value of cell x without changing the value of cell y. (c) Explain, by referring to the graph, digraph, or network, when it is possible to calculate the values of all cells in the spreadsheet. Consider the following spreadsheet with 5 rows, 7 columns, and 35 cells. For exam- ple, cell el contains a value, whereas cell al contains a formula that depends on the values cells el and 95. a b с 1 el+g5 al-c5 110 d al+cl 180 e f g f5-el c1+c2 2 al+b1 a2+c4 240 a2+c2 120 f5-e2 e3+e5 3 a2+b2 a3-c3 100 a3+c1 200 f5-e3 f1+f2 4 a3+b3 a4+c2 220 a4+c2 100 f5-e4 f3+f4 5 a4+b4 a5-c1 130 a5+c5 120 g3+g4 g1+g2 (d) Can…arrow_forward1. Let W, U, and S be graphs defined as follows: • V(W) is the set of countries in the world; • V(U) is the set of countries in the European Union; V(S) is the set of countries in the Schengen Area; ● for X = {W,U,S}, E(X) is the set of pairs of countries in V(X) that share a land border. Recall that land borders between countries in the Schengen Area are special in that they can be crossed without a passport. (a) The notions of a country and a land border are somewhat ambiguous. Explain the notions you will use to get a precise definition of the graphs W, U, and S. (b) Is S a subgraph of U? Is U an induced subgraph of W? Justify your answers. (c) Using non-mathematical language, explain what it means for a country x if VEV(S) and dw (v) = 0. Give all such countries. Let A = {v Є V(W) \V(S) such that |Nw(v)| > 0 and Nw (v) ≤ V(S)}. (d) Using non-mathematical language, explain what the set A represents in terms of countries and land borders. Give a specific element of A or explain why A…arrow_forward
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