Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
7th Edition
ISBN: 9780134705187
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
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Chapter 7.E, Problem 22E
To determine
The value of expression
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Question 2: When John started his first job, his first end-of-year salary was $82,500. In the following years, he received salary raises as shown in the following table.
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d₁ ≥ ≥ dn ≥ 0 with di even.
di≤k(k − 1) + + min{k, di}
vi=k+1
T2.5: Let d1, d2,...,d be integers such that n - 1
Prove the equivalence of the Erdos-Gallai conditions:
for each k = 1, 2, ………, n and the Edge-Count Criterion: Σier di + Σjeл(n − 1 − d;) ≥ |I||J| for
all I, JC [n] with In J = 0.
Chapter 7 Solutions
Using & Understanding Mathematics: A Quantitative Reasoning Approach (7th Edition)
Ch. 7.A - Suppose you toss one coin three times in a row and...Ch. 7.A - During the course of the basketball season, Shawna...Ch. 7.A - A box contains 20 chocolates, but only 2 of them...Ch. 7.A - Suppose the probability of winning a certain prize...Ch. 7.A - When you toss one coin, the probability that...Ch. 7.A - On a roll of two dice, Serena bets that the sum...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - Suppose you toss four 6-sided dice. How many...Ch. 7.A - You are playing 5-card poker with a deck of 52...Ch. 7.A - The odds on (or odds against) TripleTreat winning...
Ch. 7.A - Distinguish between an outcome and an event in...Ch. 7.A - 2. What does it mean when we write P(event)? What...Ch. 7.A - Briefly describe the differences among...Ch. 7.A - How is the probability of an event not occurring...Ch. 7.A - Prob. 5ECh. 7.A - Prob. 6ECh. 7.A - When I toss four coins, there are four different...Ch. 7.A - The probability that my sister will get into the...Ch. 7.A - I estimate that the probability of my getting...Ch. 7.A - Because either there is life on Mars or there is...Ch. 7.A - The probability that Jonas will win the race is...Ch. 7.A - Based on data showing that we’ve had snow on...Ch. 7.A - Prob. 13ECh. 7.A - 13-16: Review of the Multiplication Principle. Use...Ch. 7.A - Review of the Multiplication Principle. Use the...Ch. 7.A - Review of the Multiplication Principle. Use the...Ch. 7.A - Double-Header Outcomes and Events. Suppose the New...Ch. 7.A - Prob. 18ECh. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - 19-28: Theoretical Probabilities. Use the...Ch. 7.A - Theoretical Probabilities. Use the theoretical...Ch. 7.A - Relative Frequency Probabilities. Use the relative...Ch. 7.A - Prob. 30ECh. 7.A - Prob. 31ECh. 7.A - Prob. 32ECh. 7.A - Which Type of Probability? State which method...Ch. 7.A - 33-34: Which Type of Probability? State which...Ch. 7.A - Event Not Occurring. Determine the probability of...Ch. 7.A - Event Not Occurring. Determine the probability of...Ch. 7.A - Event Not Occurring. Determine the probability of...Ch. 7.A - Event Not Occurring. Determine the probability of...Ch. 7.A - Probability Distributions. Make a probability...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - 39-42: Probability Distributions. Make a...Ch. 7.A - Odds. Use the definition given in the text to find...Ch. 7.A - 43-46: Odds. Use the definition given in the text...Ch. 7.A - 43-46: Odds. Use the definition given in the text...Ch. 7.A - 43-46: Odds. Use the definition given in the text...Ch. 7.A - Gambling Odds. Use the definition of odds in...Ch. 7.A - Prob. 48ECh. 7.A - 49-66: Computing Probabilities. Decide which...Ch. 7.A - 49-66: Computing Probabilities. Decide which...Ch. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Prob. 53ECh. 7.A - Prob. 54ECh. 7.A - Prob. 55ECh. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Prob. 57ECh. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Prob. 59ECh. 7.A - Prob. 60ECh. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - 49-66: Computing Probabilities. Decide which...Ch. 7.A - 49-66: Computing Probabilities. Decide which...Ch. 7.A - 49-66: Computing Probabilities. Decide which...Ch. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Computing Probabilities. Decide which method...Ch. 7.A - Probability Distributions 68.Suppose you have a...Ch. 7.A - Prob. 68ECh. 7.A - More Counting. Answer the following counting...Ch. 7.A - Prob. 70ECh. 7.A - Prob. 71ECh. 7.A - Prob. 72ECh. 7.A - 73. Gender Politics. The following table gives...Ch. 7.A - 74. Senior Citizens. ln 2015, there were 48...Ch. 7.A - Marriage Status. The following table gives...Ch. 7.A - Prob. 76ECh. 7.A - Prob. 77ECh. 7.A - Prob. 78ECh. 7.A - Prob. 79ECh. 7.A - Prob. 80ECh. 7.A - Probability in the News. Find a news article or...Ch. 7.A - Prob. 82ECh. 7.A - Gambling Odds. Find an advertising for a gambling...Ch. 7.A - Prob. 84ECh. 7.A - 85. Dice Simulation. Follow the method used in...Ch. 7.B - The probability of rolling two dice and getting a...Ch. 7.B - The rule PAandB=PAPBholdsa. in all cases.b. only...Ch. 7.B - In which of the following cases are the events...Ch. 7.B - A box of candy contains five dark chocolates and...Ch. 7.B - The events of being born on a Monday and being...Ch. 7.B - You roll two dice. Based on the probabilities...Ch. 7.B - You roll two dice twice. Based on the...Ch. 7.B - You toss two coins ten times, and you want to know...Ch. 7.B - You purchase 10 lottery tickets for which the...Ch. 7.B - One in 10 people on campus has blond hair. In 20...Ch. 7.B - How did the gambling habits of the Chevalier de...Ch. 7.B - 2. Give an example in which we would be interested...Ch. 7.B - 3. Give an example in which we would be interested...Ch. 7.B - 4. What is the at least once rule? Explain how the...Ch. 7.B - The probability of getting heads and tails when...Ch. 7.B - If you toss a corn and get heads three times in a...Ch. 7.B - The probability of drawing ace or a spade from a...Ch. 7.B - I can’t believe you chose the lottery number...Ch. 7.B - My chance of getting a 5 on a roll of one die is...Ch. 7.B - To find the probability that at least one of my 25...Ch. 7.B - Chevalier’s Logic with Coins. The Chevalier’s...Ch. 7.B - Prob. 12ECh. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - And Probabilities. Determine whether the events...Ch. 7.B - Either/Or Probabilities. Determine whether the...Ch. 7.B - Either/Or Probabilities. Determine whether the...Ch. 7.B - Either/Or Probabilities. Determine whether the...Ch. 7.B - Either/Or Probabilities. Determine whether the...Ch. 7.B - Either/Or Probabilities. Determine whether the...Ch. 7.B - Either/Or Probabilities. Determine whether the...Ch. 7.B - Prob. 29ECh. 7.B - At Least Once Problems. Use the at least once rule...Ch. 7.B - At Least Once Problems. Use the at least once rule...Ch. 7.B - At Least Once Problems. Use the at least once rule...Ch. 7.B - At Least Once Problems. Use the at least once rule...Ch. 7.B - At Least Once Problems. Use the at least once rule...Ch. 7.B - Prob. 35ECh. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Prob. 37ECh. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Prob. 40ECh. 7.B - Prob. 41ECh. 7.B - Prob. 42ECh. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Prob. 45ECh. 7.B - Prob. 46ECh. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Prob. 49ECh. 7.B - Prob. 50ECh. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Prob. 52ECh. 7.B - Prob. 53ECh. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - Assorted Probabilities. Use the method of your...Ch. 7.B - 56. How Many Rolls? At least how many times do you...Ch. 7.B - Probability and Court. The data in the following...Ch. 7.B - Testing a Drug. A new cold medication was tested...Ch. 7.B - Prob. 59ECh. 7.B - Dominant and Recessive Genes. Many traits are...Ch. 7.B - Better Bet for the Chevalier. Suppose that the...Ch. 7.B - Lottery Odds. The probability of a 2 winner in a...Ch. 7.B - Miami Hurricanes. Studies of the Florida...Ch. 7.B - Prob. 64ECh. 7.B - Prob. 65ECh. 7.B - Prob. 66ECh. 7.B - Prob. 67ECh. 7.B - Combined Probability in Your Life. Cite a recent...Ch. 7.C - Suppose that the probability of a hurricane...Ch. 7.C - Consider a lottery with 100 million tickets in...Ch. 7.C - Consider the lottery described in Exercise 2. If...Ch. 7.C - You are betting on a game in which each bet has an...Ch. 7.C - An insurance company knows that the average cost...Ch. 7.C - You know a shortcut to work that uses side streets...Ch. 7.C - Cameron is betting on a game in which the...Ch. 7.C - Cameron is betting on a game in which the...Ch. 7.C - A $1 slot at a casino is set so that it returns...Ch. 7.C - Consider the slot machine described in Exercise 9....Ch. 7.C - Explain the meaning of the law of large numbers....Ch. 7.C - In 10 tosses of a fair coin, should you be...Ch. 7.C - Prob. 3ECh. 7.C - Prob. 4ECh. 7.C - Prob. 5ECh. 7.C - Prob. 6ECh. 7.C - The expected value to me of each raffle ticket I...Ch. 7.C - The expected value of each insurance policy our...Ch. 7.C - If you toss a coin four times, it’s much more...Ch. 7.C - I haven’t won in my last 25 pulls on the slot...Ch. 7.C - I haven’t won in my last 25 pulls on the slot...Ch. 7.C - I’ve lost S750 so far today on roulette. I’m going...Ch. 7.C - Understanding the Law of Large Numbers. Suppose...Ch. 7.C - Speedy Driver. Suppose a person who has a habit of...Ch. 7.C - Expected Value in Games. Find the expected value...Ch. 7.C - Expected Value Games. Find the expected value (to...Ch. 7.C - Expected Value in Games. Find the expected value...Ch. 7.C - Expected Value Games. Find the expected value (to...Ch. 7.C - Insurance Claims. Find the expected value (to the...Ch. 7.C - Prob. 20ECh. 7.C - Prob. 21ECh. 7.C - Expected Wait. A bus arrives at a bus stop at...Ch. 7.C - Gambler’s Fallacy and Coins. Suppose you play a...Ch. 7.C - Gambler’s Fallacy and Dice. Suppose you roll a die...Ch. 7.C - Can You Catch Up? Suppose you toss a fair coin 100...Ch. 7.C - 26. Baseball Batting Averages. Based on his record...Ch. 7.C - Prob. 27ECh. 7.C - Prob. 28ECh. 7.C - Prob. 29ECh. 7.C - Prob. 30ECh. 7.C - equation reference goes here31. House Edge in...Ch. 7.C - Prob. 32ECh. 7.C - Powerball. The table below gives prizes and...Ch. 7.C - Prob. 34ECh. 7.C - Prob. 35ECh. 7.C - 35-36: Mega Millions. The table below gives prizes...Ch. 7.C - Extra Points in Football. Football teams have the...Ch. 7.C - Roulette. When you bet $5 on the number 7 in...Ch. 7.C - Household Size. It is estimated that 57% of...Ch. 7.C - Prob. 40ECh. 7.C - Prob. 41ECh. 7.C - Prob. 42ECh. 7.C - The Morality of Gambling. Republican Senator...Ch. 7.C - Prob. 44ECh. 7.D - Prob. 1QQCh. 7.D - Prob. 2QQCh. 7.D - Prob. 3QQCh. 7.D - Prob. 4QQCh. 7.D - 5. Based on Table 7.5 and a U.S. population of 325...Ch. 7.D - Based on Figure 7.11, besides the elderly, the...Ch. 7.D - Prob. 7QQCh. 7.D - Prob. 8QQCh. 7.D - Based on Figure 7.12, which statement is not...Ch. 7.D - Prob. 10QQCh. 7.D - Prob. 1ECh. 7.D - Prob. 2ECh. 7.D - Prob. 3ECh. 7.D - Prob. 4ECh. 7.D - Prob. 5ECh. 7.D - Prob. 6ECh. 7.D - Your life expectancy is the major factor in...Ch. 7.D - A 60-year-old has a shorter life expectancy than...Ch. 7.D - 9-12: Data in Perspective. Use these data to help...Ch. 7.D - 9-12: Data in Perspective. Use these data to help...Ch. 7.D - Prob. 11ECh. 7.D - Prob. 12ECh. 7.D - 13. Twenty-Year Trend in Automobile Safety. Use...Ch. 7.D - Prob. 14ECh. 7.D - Prob. 15ECh. 7.D - Prob. 16ECh. 7.D - Prob. 17ECh. 7.D - 15–20: Causes of Death. Use Table 7.4, and assume...Ch. 7.D - 15–20: Causes of Death. Use Table 7.4, and assume...Ch. 7.D - 15–20: Causes of Death. Use Table 7.4, and assume...Ch. 7.D - Prob. 21ECh. 7.D - Prob. 22ECh. 7.D - Prob. 23ECh. 7.D - Prob. 24ECh. 7.D - Prob. 25ECh. 7.D - Prob. 26ECh. 7.D - Prob. 27ECh. 7.D - Prob. 28ECh. 7.D - U.S. Birth and Death Rates. In 2015, the U.S....Ch. 7.D - Prob. 30ECh. 7.D - 31. Aging population. The table shows the total...Ch. 7.D - 32. Psychology of Expected Values. The...Ch. 7.D - 33. Car Safety in Perspective. The opening...Ch. 7.D - Prob. 34ECh. 7.D - Prob. 35ECh. 7.D - Prob. 36ECh. 7.D - Prob. 37ECh. 7.D - Prob. 38ECh. 7.D - Risk in the News. Find a recent news report...Ch. 7.E - You are asked to create a 5-character password,...Ch. 7.E - A waitress has four different entrees for the four...Ch. 7.E - A teacher has 28 students. and 5 them will be...Ch. 7.E - The number of permutations of 12 objects grouped 5...Ch. 7.E - A soccer coach who has 15 children on her team...Ch. 7.E - One term in the denominator of the combinations...Ch. 7.E - Overall, number of different 4-person terns (order...Ch. 7.E - One in a stadium filled with 100,000 people is...Ch. 7.E - One in a stadium filled With people is chosen at...Ch. 7.E - There are 365 possible birthdays in a year. In a...Ch. 7.E - Prob. 1ECh. 7.E - Prob. 2ECh. 7.E - Prob. 3ECh. 7.E - 4. Explain What we mean When we that outcome is...Ch. 7.E - I used the permutations formula to determine how...Ch. 7.E - I used the combinations formula to determine how...Ch. 7.E - The number Of different possible batting orders...Ch. 7.E - It must my lucky day, the five-card poker hand I...Ch. 7.E - The probability that two people in a randomly...Ch. 7.E - Someone wins the lottery every week. so I figure...Ch. 7.E - Review of Factorials. use the skills covered in...Ch. 7.E - Review of Factorials. use the skills covered in...Ch. 7.E - Review of Factorials. use the skills covered in...Ch. 7.E - Prob. 14ECh. 7.E - Prob. 15ECh. 7.E - Prob. 16ECh. 7.E - Prob. 17ECh. 7.E - Prob. 18ECh. 7.E - Review off Factorials. use the skills covered in...Ch. 7.E - 11—22: Review off Factorials. use the skills...Ch. 7.E - 11—22: Review off Factorials. use the skills...Ch. 7.E - 11—22: Review off Factorials. use the skills...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Prob. 29ECh. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - 23-40: Counting Methods. Answer the following...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Counting Methods. Answer the following questions...Ch. 7.E - Prob. 39ECh. 7.E - Prob. 40ECh. 7.E - Birthday Coincidences. Suppose you are part of a...Ch. 7.E - Birthday Coincidences. Suppose you are part of a...Ch. 7.E - 43. Ice Cream Shop. Josh and Ice Cream Shop Of-...Ch. 7.E - 44. Telephone Numbers. A ten-digit phone number in...Ch. 7.E - 45. Pizza Hype. Luigi; Pizza parlor advertises 56...Ch. 7.E - ZIP Codes. The US. Postal Service five-digit and...Ch. 7.E - Counting and Probability. Find the probability of...Ch. 7.E - Counting and Probability. Find the probability of...Ch. 7.E - Counting and Probability. Find the probability of...Ch. 7.E - Counting and Probability. Find the probability of...Ch. 7.E - 47-54: Counting and Probability. Find the...Ch. 7.E - Counting and Probability. Find the probability of...Ch. 7.E - Prob. 53ECh. 7.E - Prob. 54ECh. 7.E - Hot Streaks. Suppose that 2000 people are all...Ch. 7.E - Joe Record. One of longest-standing records in...Ch. 7.E - Prob. 57ECh. 7.E - Prob. 58ECh. 7.E - Prob. 59ECh. 7.E - Prob. 60ECh. 7.E - Prob. 61ECh. 7.E - Prob. 62ECh. 7.E - Prob. 63ECh. 7.E - Prob. 64ECh. 7.E - Prob. 65E
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