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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

The Green Bay Packers roster consists of 26 players on offense, 24 players on defense, and 3 players on special teams. If 10 players are randomly selected, determine the probability (as decimal
A bag has 3 red, 2 green, and 4 orange balls.If a ball is randomly selected from the bag, what is the theoretical probability that it isa) Green?b) Not green?c) Orange?d) Not orange?Write the
A person randomly selects one of the six envelopes shown below. Each envelope contains a check that the person gets to keep. Determine the person’s expectation if the checks in the envelopes are as
One card is drawn from a standard 52-card deck. Determine the probability of selecting a face card or an ace.
The Green Bay Packers roster consists of 26 players on offense, 24 players on defense, and 3 players on special teams. If 10 players are randomly selected, determine the probability (as decimal
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is a club.Write the theoretical probability answer as a fraction in lowest terms.
Brisson is getting dressed for work and is considering his options for a shirt, a tie, and a pair of slacks to wear. He has shirts available in white, pink, and yellow. He has ties available in red,
Use the rack of 15 billiard balls shown.If one ball is randomly selected, determine the odds against it containing a stripe. (Balls numbered 9 through 15 contain stripes.) ७ (13) 10
A person randomly selects one of the six envelopes shown below. Each envelope contains a check that the person gets to keep. Determine the person’s expectation if the checks in the envelopes are as
According to www.retaildive.com, of all clothing purchases made, 27% are made online. If 20 purchases of clothing are made, determine the probability thata) 10 of the purchases are made online.b)
One card is drawn from a standard 52-card deck. Determine the probability of selecting a 4 or a diamond.
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is a queen.Write the theoretical probability answer as a fraction in lowest terms.
Use the rack of 15 billiard balls shown.If one ball is randomly selected, determine the odds in favor of it being a ball other than the 8 ball. ७ (13) 10
A person randomly selects one of the six envelopes shown below. Each envelope contains a check that the person gets to keep. Determine the person’s expectation if the checks in the envelopes are as
Dell is taking a 15-question multiple-choice test. Dell forgot to study, and he must guess at each of the questions. Each question has three options to choose from. Determine the probability that
One card is drawn from a standard 52-card deck. Determine the probability of selecting a 5 or a red card.
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is not a club.Write the theoretical probability answer as a fraction in lowest terms.
Use the rack of 15 billiard balls shown.If one ball is randomly selected, determine the odds in favor of it being an even-numbered ball. ७ (13) 10
Match 6 Lotto is a Pennsylvania lottery game in which players select 6 different numbers, in any order, from 1 to 49, inclusively. How many different sets of 6 numbers can be chosen?
A person randomly selects one of the four envelopes shown above and to the right. Each envelope contains a check that the person gets to keep. However, before the person can select an envelope, he or
One card is drawn from a standard 52-card deck. Determine the probability of selecting a face card or a black card.
A passcode on a smartphone consists of 6 digits, and repetition of digits is allowed.a) Determine the number of possible six-digit passcodes.b) If a person finds a smartphone and randomly enters 6
Consider the tennis balls in the figure below.Assume that one tennis ball is randomly selected. Determine the probability that the ball selected showsa) An odd number.b) An odd number, given that the
In her wallet, Tasha has 12 bills. Six are $1 bills, two are $5 bills, three are $10 bills, and one is a $20 bill. She passes a volunteer seeking donations for a charity and decides to randomly
Each of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10 are written on a separate piece of paper and placed in a hat. One piece of paper is randomly selected from the hat. Use the Venn diagram shown to
Evaluate the expression.1!
At the Jackpot Records store in Portland, Oregon, 60 people entering the store were randomly selected and were asked to choose their favorite type of music. Of the 60, 12 chose rock, 16 chose
Consider the tennis balls in the figure below.Assume that one tennis ball is randomly selected. Determine the probability that the ball selected showsa) A red number.b) A red number, given that the
A fair die is tossed. Determine the odds against rolling a 2.
A bag contains 7 black chips and 3 white chips. Dexter and Thanh play the following game. Dexter randomly selects one chip from the bag. If the chip is black, Dexter gives Thanh $5. If the chip is
A fair coin is flipped 10 times. Determine the probability that the coin is heads exactlya) One time.b) Five times.c) Nine times.Use the binomial probability formula to answer the question. When
Determine the indicated probability.If P(A) = 0.3, P(B) = 0.5, and P(A and B) = 0.2, determine P(A or B).
Evaluate the expression.3P2
Consider the tennis balls in the figure below.Assume that one tennis ball is randomly selected. Determine the probability that the ball selected showsa) A black number.b) A black number, given that
A fair die is tossed. Determine the odds against rolling an even number.
A fair coin is flipped 5 times. Determine the probability that the coin is headsa) Zero times.b) At least one time.Use the binomial probability formula to answer the question. When necessary round
Evaluate the expression.a) 5C5b) 5P5
Determine the indicated probability.If P(A) = 0.7, P(B) = 0.8, and P(A and B) = 0.6, determine P(A or B).
According to the U.S. Centers for Disease Control and Prevention, 31% of adults in the United States have high blood pressure. If an adult was randomly selected, determine the oddsa) Against the
Mateo’s sock drawer has 12 black socks and 8 white socks all mixed together. If Mateo randomly selects 4 socks from the drawer, what is the probability that all 4 socks are white?The problems are
Evaluate the expression.4P3
In a given week, Paul’s Bike Shop repaired bicycles with the following brand names.Bicycle Brand
The Sannons are choosing a name for their baby girl. They have narrowed down their options, and they will choose one first name and one middle name from the list as shown in the table below.a)
Consider the following figures.Assume that one figure is randomly selected and each figure is equally likely to be selected. Determine the probability of selecting a circle, given that an odd number
A bin contains 5 balls colored red, yellow, blue, orange, and purple, respectively. Anika randomly selects 4 balls with replacement. Determine the probability that she selectsa) The red ball zero
Evaluate the expression.3C2/13C2
Determine the indicated probability.If P (A or B) = 0.9, P (A) = 0.8, and P (B) = 0.2, determine P (A and B).
Cassandra’s candy dish has 8 peppermint candies and 5 spearmint candies. If Cassandra randomly selects 3 candies, what is the probability that she selects 1 peppermint candy and 2 spearmint
Evaluate the expression.8P0
The following table shows the number of video games sold worldwide for the five highest selling video games, all formats combined, in 2018.Title
At the coffee station at work, you have several options when making a cup of coffee. You can choose to add no cream (N), regular cream (R), or hazelnut-flavored cream (H). You can also choose to add
Consider the following figures.Assume that one figure is randomly selected and each figure is equally likely to be selected. Determine the probability of selecting a triangle, given that a number
You get to randomly select one card from a standard 52-card deck. If you pick a club, you win $8. If you pick a heart, you win $4. If you pick any other suit, you lose $6. Determine your expectation
A bin contains 5 balls colored red, yellow, blue, orange, and purple, respectively. Tristan randomly selects 7 balls with replacement. Determine the probability that he selects the yellow ball
Evaluate the expression.5C3/9C3
Determine the indicated probability.If P(A or B) = 0.65, P(A) = 0.35, and P(B) = 0.45, determine P(A and B).
The odds against Fedora winning the Triple Crown in horse racing are 82 : 3. Determine the probability that Fedora wins the Triple Crown.
Evaluate the expression.6P0
The following table shows the top five attended movies, at movie theaters, in the United States during 2018.Movie
Consider the following figures.Assume that one figure is randomly selected and each figure is equally likely to be selected. Determine the probability of selecting an odd number, given that a circle
One card is drawn from a standard 52-card deck. Determine the odds against and the odds in favor of selecting a jack.
Evaluate the expression.8C5/14C5
Determine the indicated probability.If P (A or B) = 0.7, P (A) = 0.6, and P (A and B) = 0.3, determine P (B).
Evaluate the expression.4P4
The following graph was created using Stat Crunch with data from AutomobileMag.com. The graph shows U.S. automobile sales, in automobiles sold, by manufacturer, for the year 2018. The total sales for
Consider the following figures.Assume that one figure is randomly selected and each figure is equally likely to be selected. Determine the probability of selecting a number greater than or equal to
One card is drawn from a standard 52-card deck. Determine the odds against and the odds in favor of selecting a diamond
Marcus is a barber and has learned that 75% of his customers tip him when they are paying for a haircut. One day, Marcus gives haircuts to 12 customers. What is the probability that exactly 9 of his
Evaluate the expression.4C2/8C2
Use the ordinary annuity formulato determine the accumulated amount in each annuity. Round all answers to the nearest cent.$5200 invested annually for 30 years at a 3.5% interest rate compounded
The Leungs decided to build a new house. The contractor quoted them a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would
The Leungs decided to build a new house. The contractor quoted them a price of $215,000, including the lot. The taxes on the house would be $3200 per year, and homeowners’ insurance would
Donna is starting a consulting business and purchased new office equipment and furniture selling for $13,220. Donna paid 20% as a down payment and financed the balance with a 36-month installment
A partial payment is made on the date(s) indicated. Use the United States rule to determine the balance due on the note at the date of maturity. The Effective Date is the date the note was written.
A Kirby vacuum cleaner dealership sold 430 units in 2018 and 407 units in 2019. Determine the percent increase or decrease in the number of units sold.Where appropriate, round your answer to the
If the Kirby dealership in Exercise 63 pays $320 for each unit and sells a unit for $699, what is the percent markup in the price of each unit?Where appropriate, round your answer to the nearest
Fill in the blank with an appropriate word, phrase, or symbol(s).A helpful method to determine a sample space is to construct a(n) _______ diagram.
One card is drawn from a standard 52-card deck. Determine the probability that the card is aa) A club.b) A club, given that the card is a black card.
Determine whether the description given describes a permutation or a combination.Jocelyn is the manager of the Central Carolina Community College softball team. The team has 16 players.a) Jocelyn
Mrs. Lopez’s kindergarten class has 15 students, of whom 8 are from Manatee County. If 5 students are randomly selected, determine the probability that all 5 are from Manatee County.Set up the
Fill in the blank with an appropriate word, phrase, or symbol(s).The formula for the number of permutations when r objects are selected from n objects is nPr = _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).Probability determined through a study of the possible outcomes that can occur for a given experiment is called ________ probability.
One card is drawn from a standard 52-card deck. Determine the probability that the card is aa) A queen.b) A queen, given that the card is a face card.
Determine whether the description given describes a permutation or a combination.Sundar has 20,291 photos on his smartphone.a) Sundar selects and deletes 500 photos to have enough storage to download
Fill in the blank with an appropriate word, phrase, or symbol(s).If each outcome of an experiment has the same chance of occurring as any other outcome, the outcomes are ________ likely outcomes.
One card is drawn from a standard 52-card deck. Determine the probability that the card is aa) A jack or a king.b) A jack or a king, given that the card is a face card.
If two of the same nine sheets of paper mentioned above are selected, without replacement, from the hat, determine the probability that neither of the numbers is greater than 6.
Fill in the blank with an appropriate word, phrase, or symbol(s).If the odds against an event are 1 : 3, the probability that the event will fail to occur is ________.
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to determine P(x). When necessary, round your answers
Evaluate the expression.5C3
Fill in the blank with an appropriate word, phrase, or symbol(s).The notation used to express the number of permutations of five items taken three at a time is _______.
Euchre is a card game played with a deck that contains 24 cards. If two cards are drawn from a euchre deck, determine the number of possible outcomes if the cards are drawna) With replacement.b)
One card is drawn from a standard 52-card deck. Determine the probability that the card is aa) A 5 or a 7.b) A 5 or a 7, given that the card is not a face card.
One card is randomly selected from a standard 52-card deck. Determine the probability that the card selected is a red card or a face card.
Fill in the blank with an appropriate word, phrase, or symbol(s).If the odds in favor of an event are 2 : 5, then the probability that the event occurs is ________.
Zelda is opening an antiques shop. In the first year, she estimates that there is a 25% chance that she will make $20,000, a 40% chance that she will break even, and a 35% chance that she will lose
Assume that each of the n trials is independent and that p is the probability of success on a given trial. Use the binomial probability formula to determine P(x). When necessary, round your answers
Evaluate the expression.8C2
Fill in the blank with an appropriate word, phrase, or symbol(s).The notation used to express the number of permutations of seven items taken two at a time is _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).The sum of the probabilities of all possible outcomes of an experiment is ________.

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