College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 9, Problem 5P
To determine
To find:
The approximate value of
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College Algebra
Ch. 9.1 - The Fundamental Counting Principle says that if...Ch. 9.1 - The number of ways of arranging r objects form n...Ch. 9.1 - The number of ways of choosing r objects from n...Ch. 9.1 - True or False? In counting combinations, order...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Evaluating Permutations and Combinations Evaluate...Ch. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Evaluating Permutations and Combinations Evaluate...
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - Prob. 21ECh. 9.1 - Prob. 22ECh. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Fundamental Counting Principle. The exercises...Ch. 9.1 - Prob. 30ECh. 9.1 - Prob. 31ECh. 9.1 - Prob. 32ECh. 9.1 - Prob. 33ECh. 9.1 - Prob. 34ECh. 9.1 - Fundamental Counting Principle. The exercises...Ch. 9.1 - Prob. 36ECh. 9.1 - Prob. 37ECh. 9.1 - Prob. 38ECh. 9.1 - Prob. 39ECh. 9.1 - Prob. 40ECh. 9.1 - Prob. 41ECh. 9.1 - Prob. 42ECh. 9.1 - Prob. 43ECh. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Distinguishable Permutations These exercises...Ch. 9.1 - Prob. 55ECh. 9.1 - Distinguishable Permutations These exercises...Ch. 9.1 - Prob. 57ECh. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - Prob. 62ECh. 9.1 - Prob. 63ECh. 9.1 - Prob. 64ECh. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - Prob. 72ECh. 9.1 - Prob. 73ECh. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 79ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 81ECh. 9.1 - Prob. 82ECh. 9.1 - Prob. 83ECh. 9.1 - Prob. 84ECh. 9.1 - Prob. 85ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 87ECh. 9.1 - Counting Principles Solve these exercise by using...Ch. 9.1 - Prob. 89ECh. 9.1 - Prob. 90ECh. 9.1 - Prob. 91ECh. 9.1 - DISCUSS: Complementary Combinations Without...Ch. 9.1 - Prob. 93ECh. 9.1 - DISCUSS • DISCOVER: Why ls (;) the Same as C(n,r)?...Ch. 9.2 - The set all possible outcomes of an experiment is...Ch. 9.2 - Prob. 2ECh. 9.2 - The conditional probability of E given that F...Ch. 9.2 - Let E and F be events in a sample space S. (a) The...Ch. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - probability by Counting these exercises involve...Ch. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - A card is drawn randomly from a standard 52-card...Ch. 9.2 - A card is drawn randomly from a standard 52-card...Ch. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - A poker hand, consisting of five cards, is dealt...Ch. 9.2 - Three CD, arc picked it random from a collection...Ch. 9.2 - Two balls are picked at random from a jar that...Ch. 9.2 - A letter is chosen at random from the word...Ch. 9.2 - A five-card poker hand is drawn from a standard...Ch. 9.2 - A pair of dice is rolled, and the numbers showing...Ch. 9.2 - Union of Events These exercises involve finding...Ch. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Union of Events These exercises involve finding...Ch. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Refer to the spinner in Exercises 21-22. 21-22...Ch. 9.2 - Refer to the spinner in Exercises 21-22 21—22...Ch. 9.2 - Prob. 31ECh. 9.2 - Two balls are drawn at random from the jar. Find...Ch. 9.2 - Prob. 33ECh. 9.2 - Intersection of Events these exercises involve the...Ch. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Intersection of Evens These exercises involve the...Ch. 9.2 - Intersection of Evens These exercises involve the...Ch. 9.2 - Spinner A and B shown in the figure are spun at...Ch. 9.2 - Spinner A and B shown in the figure are spun at...Ch. 9.2 - Four Siblings A couple intends to ha four...Ch. 9.2 - Bridge Hands What is the probability that a...Ch. 9.2 - Roulette An American roulette wheel has 38 slots....Ch. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - An Unlikely Event The president of a large company...Ch. 9.2 - Prob. 47ECh. 9.2 - Quality Control To control the quality of their...Ch. 9.2 - Monkeys Typing Shakespeare An often-quoted example...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Roulette An American roulette wheel has 38 slots....Ch. 9.2 - Prob. 56ECh. 9.2 - Snake Eyes What ¡s the probability of rolling...Ch. 9.2 - Lottery In the 6/49 lottery game a player selects...Ch. 9.2 - Marbles In a Jar A jar contains six red marbles...Ch. 9.2 - Prob. 60ECh. 9.2 - Balls in a Jar Jar A contains three red balls and...Ch. 9.2 - Prob. 62ECh. 9.2 - Prob. 63ECh. 9.2 - Committee Membership A mathematics department...Ch. 9.2 - Class Photo Twenty students are arranged randomly...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Making Words A monkey is trained to arrange wooden...Ch. 9.2 - Prob. 68ECh. 9.3 - A binomial experiment is UDC in which there are...Ch. 9.3 - If a binomial experiment has probability p...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Prob. 9ECh. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 11ECh. 9.3 - Binomial Trials Five independent trials of a...Ch. 9.3 - Prob. 13ECh. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Probability Distribution An experiment is...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Prob. 21ECh. 9.3 - Archery An archer hits his target 80% of the time....Ch. 9.3 - Prob. 23ECh. 9.3 - Spread of Disease Health authorities estimate that...Ch. 9.3 - Blood Type about 45% of populations Of the United...Ch. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - Prob. 28ECh. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - Defective Light Bulbs The Dim Bulb lighting...Ch. 9.3 - Quality Control An assembly line that manufacturer...Ch. 9.3 - Sick leave probability that a given worker at Dyno...Ch. 9.3 - Political Surveys In a certain county, 60% of the...Ch. 9.3 - Pharmaceuticals A drug that is to prevent motion...Ch. 9.3 - Reliability of a Machine A machine that is used in...Ch. 9.3 - Genetics Huntington's disease a hereditary ailment...Ch. 9.3 - Select Cards Three cards are randomly selected...Ch. 9.3 - Smokers md Nonsmokers The participants at a...Ch. 9.3 - Telephone Marketing A mortgage company advertises...Ch. 9.3 - Effectiveness of a Drug A certain disease has a...Ch. 9.3 - Hitting a Target An archer normally hits the...Ch. 9.3 - DISCUSS: Most Likely Outcome for n Tosses of a...Ch. 9.4 - If a game gives payoffs of $10 and $100 with...Ch. 9.4 - If you played the game in Exercise 1 many times,...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Expected Value of a Game Find the expected value...Ch. 9.4 - Roulette An American roulette wheel has 38 slots....Ch. 9.4 - Sweepstakes A sweeptakes offer ¡s first prize of...Ch. 9.4 - A Game of Chance A box contains 100 envelopes. Ten...Ch. 9.4 - Combination Lock A safe containing $1000000 is...Ch. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Lottery In a 6/49 lottery game, a player pays $1...Ch. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9 - Prob. 1CCCh. 9 - Prob. 2CCCh. 9 - (a) What is a combination of r elements of a set?...Ch. 9 - Prob. 4CCCh. 9 - Prob. 5CCCh. 9 - Prob. 6CCCh. 9 - Prob. 7CCCh. 9 - (a) An experiment has two outcomes, "success" and...Ch. 9 - Prob. 9CCCh. 9 - Prob. 1ECh. 9 - Prob. 2ECh. 9 - Prob. 3ECh. 9 - Prob. 4ECh. 9 - Prob. 5ECh. 9 - Prob. 6ECh. 9 - Prob. 7ECh. 9 - Prob. 8ECh. 9 - Prob. 9ECh. 9 - Counting These exercises involve counting....Ch. 9 - Counting These exercises involve counting. Coin...Ch. 9 - Prob. 12ECh. 9 - Counting These exercises involve counting. Tennis...Ch. 9 - Counting These exercises involve counting. Pizza...Ch. 9 - Prob. 15ECh. 9 - Prob. 16ECh. 9 - Prob. 17ECh. 9 - Prob. 18ECh. 9 - Prob. 19ECh. 9 - Prob. 20ECh. 9 - Prob. 21ECh. 9 - Prob. 22ECh. 9 - Prob. 23ECh. 9 - Prob. 24ECh. 9 - Prob. 25ECh. 9 - Prob. 26ECh. 9 - Prob. 27ECh. 9 - Prob. 28ECh. 9 - Prob. 29ECh. 9 - Prob. 30ECh. 9 - Probability These exercises involve Probability...Ch. 9 - Prob. 32ECh. 9 - Prob. 33ECh. 9 - Prob. 34ECh. 9 - Prob. 35ECh. 9 - Prob. 36ECh. 9 - Prob. 37ECh. 9 - Prob. 38ECh. 9 - Prob. 39ECh. 9 - Prob. 40ECh. 9 - Prob. 41ECh. 9 - Prob. 42ECh. 9 - Prob. 43ECh. 9 - Binomial Probability These Exercise involve...Ch. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - Prob. 48ECh. 9 - Expected Value These exercises involve expected...Ch. 9 - Prob. 50ECh. 9 - Alice and Bill have four grandchild, and they have...Ch. 9 - A hospital cafeteria offers a fixed-price lunch...Ch. 9 - An Internet service provider requires its...Ch. 9 - Over the past year, John has purchased 30 books....Ch. 9 - A commuter must Lrae1 from Ajax to Barrie and back...Ch. 9 - A pizza parlor offers four sizes of pizza and 14...Ch. 9 - An anagram of a word is a rearrangement of the...Ch. 9 - Prob. 8TCh. 9 - One card ¡s drawn from a deck. Find the...Ch. 9 - A jar contains five red balls, numbered 1 to 5,...Ch. 9 - Three people are chosen at random from a group of...Ch. 9 - Prob. 12TCh. 9 - In a group of four students, what is the...Ch. 9 - An unbalanced coin is weighted so that the...Ch. 9 - Prob. 15TCh. 9 - Prob. 1PCh. 9 - Family Planning A intend to have two children....Ch. 9 - Dividing a Jackpot A game between two pIayers...Ch. 9 - Long or Short World Series? In the World Series...Ch. 9 - Prob. 5PCh. 9 - Areas of Curved Regions the Monte Carlo method can...Ch. 9 - Prob. 7P
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- probability by Counting these exercises involve finding the probability by counting. An experiment consists of tossing a coin twice. (a) find the sample space. (b) Find the probability of getting heads exactly two times. (c) find the of getting heads at least one time. (d) Fund the probability of getting heads exactly onearrow_forwardLong or Short World Series? In the World Series the top teams in the National League and the American League play a best-of-seven series: that is, they pay until one team has won four games. (No tie is allowed, so this results in a maximum of seven games.) Suppose the teams arc evenly matched, so the probability that either team wins a given game is 12 . (a) Use a coin or a modeling program to model a World Series. in which ‘heads” represents a win by Team A and “tails” represents a win by Team B. Perform this experiment go times, keeping track of how many games are needed to decide each series. Estimate the probability that an evenly matched series will end ¡n four games. Do the same for five, six, and seven games. (b) What is the probability that the series will end in four games? Five games? Six games? Seven games? Compare with your estimates from part (a). (c) Find the expected value for the number of games until the series ends. [Hint: This will be P(fourgames)4+P(five)5+P(six)6+P(seven)7 .]arrow_forwardHarvard Step Test The Harvard Step Test was developed4 in 1943 as physical fitness test, and modifications of it remain in use today. The candidate steps up and down on a bench 20 inches high 30 times per minute for 5 minutes. The pulse is counted three separate times for 30 seconds each: at 1 minute, 2 minutes, and 3 minutes after the exercise is completed. If P is the sum of the three pulse counts, then the physical efficiency index E is calculated using E=15,000P. The following table shows how to interpret the results of the test. Efficiency Index Interpretation Below 55 Poor condition 55 to 64 Low average 65 to 79 High average 80 to 89 Good 90 & above Excellent a. Does the physical efficiency index increase or decrease with increasing values of P? Explain in practical terms what this means. b. Express using functional notation the physical efficiency index of someone whose total pulse count is 200, and then calculate that value. c. What is the physical condition of someone whose total pulse cont is 200? d. What pulse counts will result in an excellent rating?arrow_forward
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