College Algebra
7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
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Chapter 9.1, Problem 66E
To determine
To find:
The number of ways possible to pick seven card hands from a deck of
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2.8.1
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is fair share to nancy?
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player.
S1
S2
S3
S4
Kate
$4.00
$6.00
$6.00
$4.00
Luke
$5.30
$5.00
$5.25
$5.45
Mary
$4.25
$4.50
$3.50
$3.75
Nancy
$6.00
$4.00
$4.00
$6.00
how much is the cak worth to mary
Chapter 9 Solutions
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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- Kate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). The following table shows the values of the slices in the eyes of each player. What is the threshold of fair share for Luke? S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward2. A microwave manufacturing firm has determined that their profit function is P(x)=-0.0014x+0.3x²+6x-355 , where is the number of microwaves sold annually. a. Graph the profit function using a calculator. b. Determine a reasonable viewing window for the function. c. Approximate all of the zeros of the function using the CALC menu of your calculator. d. What must be the range of microwaves sold in order for the firm to profit?arrow_forwardA clothing manufacturer's profitability can be modeled by p (x)=-x4 + 40x² - 144, where .x is the number of items sold in thousands and p (x) is the company's profit in thousands of dollars. a. Sketch the function on your calculator and describe the end behavior. b. Determine the zeros of the function. c. Between what two values should the company sell in order to be profitable? d. Explain why only two of the zeros are considered in part c.arrow_forward
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