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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

The following circle graph, which was created using Stat Crunch with data from the website www.healthline.com, shows the percentages of Americans with the various blood types.If one American is
Christoph is making chili. He wishes to include 3 types of beans, and his choices are kidney, pinto, red, black, garbanzo, fava, and navy. He wishes to include 4 types of peppers, and his choices are
If three men and three women are to be randomly assigned to six seats in a row at a theater, determine the probability that they will alternate by gender.
Fajar has six different meals from a meal delivery service. Three meals include chicken, two meals include beef, and one meal is vegetarian. Fajar will eat one of these meals per day for the next six
A cooler contains 100 Klondike ice cream bars. There are 40 Vanilla bars, 20 Mint Chocolate Chip bars, 30 Krunch bars, and 10 Rocky Road bars. If one bar is randomly selected determine the
Use the following results of a coffee taste test given at a local grocery store.If one of these individuals is randomly selected, determine the probability the individual selecteda) Is a woman.b) Is
A cooler contains 100 Klondike ice cream bars. There are 40 Vanilla bars, 20 Mint Chocolate Chip bars, 30 Krunch bars, and 10 Rocky Road bars. If one bar is randomly selected determine the
Use the following results of a coffee taste test given at a local grocery store.If one of these individuals is randomly selected, determine the probability the individual selecteda) Is a man.b) Is a
The following circle graph, which was created using Stat Crunch with data from the website www.healthline.com, shows the percentages of Americans with the various blood types.If one American is
Throughout this section we have discussed the probabilities of several poker hands. Do research and write a paper on how to calculate the probabilities for all poker hands. Include in your report one
A cooler contains 100 Klondike ice cream bars. There are 40 Vanilla bars, 20 Mint Chocolate Chip bars, 30 Krunch bars, and 10 Rocky Road bars. If one bar is randomly selected determine the
Use the following table, which shows the number of cars and trucks that used the Pennsylvania Turnpike on a particular day. The number of cars and trucks that used, and did not use, E-Z Pass on that
Jay Leno owns 117 motorcycles of which he must select 4 to line up in his garage for his television show, Jay Leno’s Garage. How many different arrangements of 4 motorcycles are possible?
A cooler contains 100 Klondike ice cream bars. There are 40 Vanilla bars, 20 Mint Chocolate Chip bars, 30 Krunch bars, and 10 Rocky Road bars. If one bar is randomly selected determine the
Use the following table, which shows the number of cars and trucks that used the Pennsylvania Turnpike on a particular day. The number of cars and trucks that used, and did not use, E-Z Pass on that
Write the theoretical probability answer as a fraction in lowest terms.Use the small replica of the Wheel of Fortune.If the wheel is spun, determine the probability that the indicated sector will
Use the following table, which shows the number of cars and trucks that used the Pennsylvania Turnpike on a particular day. The number of cars and trucks that used, and did not use, E-Z Pass on that
Write the theoretical probability answer as a fraction in lowest terms.Use the small replica of the Wheel of Fortune.If the wheel is spun, determine the probability that the indicated sector will
Use the following table, which shows the number of cars and trucks that used the Pennsylvania Turnpike on a particular day. The number of cars and trucks that used, and did not use, E-Z Pass on that
Write the theoretical probability answer as a fraction in lowest terms.Use the small replica of the Wheel of Fortune.If the wheel is spun, determine the probability that the indicated sector will
The odds against the Cincinnati Bengals winning the Super Bowl are 100 : 1. Determine the probability that the Bengalsa) Win the Super Bowl.b) Do not win the Super Bowl.
Determine the number of permutations of the letters in the word IMPORTANCE.
Write the theoretical probability answer as a fraction in lowest terms.Use the small replica of the Wheel of Fortune.If the wheel is spun, determine the probability that the indicated sector will
The odds against the St. Louis Blues winning the Stanley Cup are 17 : 4. Determine the probability that the Bluesa) Win the Stanley Cup.b) Do not win the Stanley Cup.
Write the theoretical probability answer as a fraction in lowest terms.Use the small replica of the Wheel of Fortune.If the wheel is spun, determine the probability that the indicated sector will
The odds in favor of Hicham El Guerrouj running a mile race in less than four minutes are 197 : 2. Determine the probability that Hicham El Guerrouj runs the mile race ina) Less than four minutes.b)
Write the theoretical probability answer as a fraction in lowest terms.Use the small replica of the Wheel of Fortune.If the wheel is spun, determine the probability that the indicated sector will
The odds in favor of Aleta bowling a strike in her next frame are 23 : 2. Determine the probability that in her next frame Aletaa) Bowls a strike.b) Does not bowl a strike.
In how many ways can the letters in the word KISSIMMEE be arranged?
A lottery involves randomly selecting 3 digits from 0–9, inclusively, without replacement. What is the probability that all 3 digits selected are greater than 5.The problems are to be done without
A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes behind 3 doors. Ginny, the contestant, selects 2 doors. Determine the probability that Ginny
For your new home theater system you are going to purchase a Blu-ray player, a receiver, and a speaker system at random from among the following brands.a) Determine the number of sample points in the
Six cards are randomly selected from a standard 52-card deck with replacement. Determine the probability thata) Exactly three face cards are obtained.b) Exactly two spades are obtained.When
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is not 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 against it containing any red coloring (solid or striped). ७ (13) 10
Lotto Texas is a Texas lottery game in which players select 6 different numbers, in any order, from 1 to 54, 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 heart.
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is a face card.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 against it containing a number greater than or equal to 9. ७ (13) 10
The island of Aruba is well known for its beaches and predictable warm, sunny weather. In fact, Aruba’s weather is so predictable that the daily newspapers don’t even bother to print a forecast.
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
The Auburn University baseball roster consists of 12 pitchers, 2 catchers, 6 infielders, and 5 outfielders. If the team manager randomly selects 9 players, what is the probability that he selects 1
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is not a face card.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 containing two digits. ७ (13) 10
Dirk owns 45 pairs of shoes and would like to donate 10 pairs to Goodwill. How many different ways can Dirk select the pairs of shoes?
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
The staff at The Captain’s Lair consists of 5 cooks, 11 servers, and 4 bartenders. If the restaurant manager randomly selects 10 staff members, what is the probability that she selects 2 cooks, 7
In Indiana, a standard car license plate number consists of 3 digits followed by 3 uppercase letters. How many different license plate numbers are possible ifa) Repetition of characters is allowed?b)
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is a heart and a jack.Write the theoretical probability answer as a fraction in lowest terms.
Refer to the following information. When playing bingo, 75 balls are placed in a bin and balls are randomly selected. Each ball is marked with a letter and number as indicated in the following
If 5 cards are dealt from a standard 52-card deck, how many different ways can 3 kings and 2 queens be dealt?
There is a 20% chance that next year the total number of employees in the Menards stores in Milwaukee will increase by 300. There is a 70% chance that the increase will be 400 employees, and a 10%
Consider the five figures shown.In how many different ways can the figures be arrangeda) From left to right?b) From top to bottom if placed one under the other?c) From left to right if the triangle
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is a queen and a club.Write the theoretical probability answer as a fraction in lowest terms.
If 5 cards are dealt from a standard 52-card deck, how many different ways can 4 aces and 1 other card that is not an ace be dealt?
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is a red card and a king.Write the theoretical probability answer as a fraction in lowest terms.
Refer to the following information. When playing bingo, 75 balls are placed in a bin and balls are randomly selected. Each ball is marked with a letter and number as indicated in the following
Kipsie is the athletic director at Owens Community College. She must select 5 tennis players and 5 basketball players to volunteer at the school’s community showcase. She can choose from 9 tennis
Ronnie is playing poker and is dealt his hand of 5 cards from a standard 52-card deck. What is the probability that Ronnie is dealt 1 club, 1 diamond, 1 heart, and 2 spades?
The eight members of the Model United Nations team from Pima Community College are lining up for a photo.a) How many different ways can the eight team members line up?b) What is the probability that
One card is drawn from a standard 52-card deck. Determine the probability that the card selected is a jack and a black card.Write the theoretical probability answer as a fraction in lowest terms.
Refer to the following information. When playing bingo, 75 balls are placed in a bin and balls are randomly selected. Each ball is marked with a letter and number as indicated in the following
A board game uses the deck of 20 cards shown.Two cards are randomly selected from this deck. Determine the probability of the followinga) With replacement.b) Without replacement.The first shows a red
Bianca is playing poker and is dealt her hand of 5 cards from a standard 52-card deck. What is the probability that Bianca is dealt 2 face cards, 2 aces, and 1 card that is neither a face card nor an
The seven members of the Snipes family are lining up for a family portrait.a) How many different ways can the seven family members line up?b) What is the probability that the family members randomly
Refer to the following information. When playing bingo, 75 balls are placed in a bin and balls are randomly selected. Each ball is marked with a letter and number as indicated in the following
A Target store has 9 different strollers and 8 different car seats in stock. The store’s manager wishes to place 3 strollers and 2 car seats on sale. In how many ways can this be done?
Hungry Howie’s is opening a new restaurant. The company estimates that there is a 85% chance the restaurant will have a profit of $200,000, a 5% chance the restaurant will break even, and a 10%
Kalin’s sports car collection consists of six different cars manufactured by Bentley, Bugatti, Ferrari, Lamborghini, McLaren, and Mercedes, respectively. Kalin wishes to line up the cars on her
Refer to the following information. When playing bingo, 75 balls are placed in a bin and balls are randomly selected. Each ball is marked with a letter and number as indicated in the following
A board game uses the deck of 20 cards shown.Two cards are randomly selected from this deck. Determine the probability of the followinga) With replacement.b) Without replacement.At least one of the
Assume that the spinner cannot land on a line.If spun once, determine the odds in favor of and the odds against the spinner landing on green.
A deck of cards for playing euchre contains 24 cards—9, 10, jack, queen, king, and ace of each suit. Sergio is playing euchre and is dealt a 5-card hand. What is the probability that Sergio’s
Kayode is building an art display on the campus of Metropolitan Community College. The display will feature arrangements of flags in the colors of the spectrum as shown below.a) How many different
Determine the indicated probability.If P (A or B) = 0.6, P (B) = 0.3, and P (A and B) = 0.1, determine P (A).
A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes behind 3 doors. Ginny, the contestant, selects 2 doors. Determine the probability that Ginny
Evaluate the expression.3P3
The following graph was created using Stat Crunch with data from the website NPS.gov. The graph shows the number of visits to the top 10 most visited national parks for the year 2018. The total
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 or square, given that a
One card is drawn from a standard 52-card deck. Determine the odds against and the odds in favor of selecting a face card.
Evaluate the expression.4C3/10C3
A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes behind 3 doors. Ginny, the contestant, selects 2 doors. Determine the probability that Ginny
Evaluate the expression.8P4
A medical researcher administers an experimental medical treatment to 200 patients. The patients in the study are categorized by blood types A, B, AB, and O. The researcher observed that the
Eva Marie, a veterinarian researcher, is working on a new non-antibiotic medicine to treat bacterial infections in animals. While conducting a study, Eva Marie observed that the medicine worked on 14
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 an odd
One card is drawn from a standard 52-card deck. Determine the odds against and the odds in favor of selecting a card greater than 5 (ace is low).
Evaluate the expression.6C4/10C4
A game show has 5 doors concealing prizes. There are new cars behind 2 doors and consolation prizes behind 3 doors. Ginny, the contestant, selects 2 doors. Determine the probability that Ginny
Evaluate the expression.9P5
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
When treated with a new drug to treat crohn’s disease, 80% of all patients saw an improvement in their symptoms. If 25 patients are treated with the new drug, determine the probability that 20 will
A single die is rolled one time. Determine the probability of rolling an even number or a number greater than 1.
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
In many countries outside the United States, the ATM code is a six-digit code instead of a four-digit code. How many six-digit codes are possible if repetition of digits is permitted?
A multiple-choice test question has five possible choices. If you randomly select one of the choices, what is the probability that you selecta) The correct choice?b) An incorrect choice?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
D’Yard Corporation makes cricket bats. The quality control manager determines that 99.0% of the bats made at D’Yard meet the International Cricket Council (ICC) safety standards. Montgomery
One card is drawn from a standard 52-card deck. Determine the probability of selecting a 2 or a 3.

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