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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Fill in the blank with an appropriate word, phrase, or symbol(s).A unitless measure that describes the strength of the linear relationship between two variables is called the linear correlation
Fill in the blank with an appropriate word, phrase, or symbol(s).A distribution in which all the data values have about the same frequency is called a(n) ________ distribution.
For the set of data 22, 38, 38, 40, 47, determine the mean.
Fill in the blank with an appropriate word, phrase, or symbol(s).A number that is representative of a set of data is called a(n) ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).The art and science of gathering, analyzing, and making inferences (predictions) from numerical information obtained in an experiment
Fill in the blank with an appropriate word, phrase, or symbol(s).Measures of dispersion are used to indicate the spread or ________ of the data.
a) What is a population?b) What is a sample?
Read the Did You Know? Use this information to calculate the probability that at least two people in your class have the same birthday. Poll your classmates to determine whether two or more of them
Certain congenital disabilities are polygenic in nature. Typically, the chance that a child will be born with a polygenic disability is small. However, once a child is born with a polygenic
Certain congenital disabilities are polygenic in nature. Typically, the chance that a child will be born with a polygenic disability is small. However, once a child is born with a polygenic
Certain congenital disabilities are polygenic in nature. Typically, the chance that a child will be born with a polygenic disability is small. However, once a child is born with a polygenic
Certain congenital disabilities are polygenic in nature. Typically, the chance that a child will be born with a polygenic disability is small. However, once a child is born with a polygenic
For the set of data 22, 38, 38, 40, 47, determine the midrange.
Fill in the blank with an appropriate word, phrase, or symbol(s).The value in the middle of a set of ranked data is called the ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).All items or people of interest in an experiment are collectively called a(n) ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).The symbol s is used to indicate the standard deviation of a(n) ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).a) The value of r, the linear correlation coefficient, that represents the strongest positive correlation between two variables is
For the set of data 22, 38, 38, 40, 47, determine the mode.
Fill in the blank with an appropriate word, phrase, or symbol(s).The average that is determined by summing the data and then dividing the sum by the number of pieces of data is called the ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).The collection, organization, and analysis of data is called ________ statistics.
Fill in the blank with an appropriate word, phrase, or symbol(s).The measure of dispersion that measures how much the data differ from the mean is called the ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).In a frequency distribution, the class with the greatest frequency is called the ________ class.
Fill in the blank with an appropriate word, phrase, or symbol(s).The process of determining the linear relationship between two variables is called linear ________.
For the set of data 22, 38, 38, 40, 47, determine the median.
Fill in the blank with an appropriate word, phrase, or symbol(s).The difference between the highest and lowest values in a set of data is called the ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).A listing of observed values and the corresponding frequency of occurrence of each value is called a(n) ________ distribution.
Certain congenital disabilities are polygenic in nature. Typically, the chance that a child will be born with a polygenic disability is small. However, once a child is born with a polygenic
Certain congenital disabilities are polygenic in nature. Typically, the chance that a child will be born with a polygenic disability is small. However, once a child is born with a polygenic
The probability that a heat-seeking torpedo will hit its target is 0.4. If the first torpedo hits its target, the probability that the second torpedo will hit the target increases to 0.9 because of
Can people distinguish Coke from Pepsi? Which do they prefer?a) Design an experiment to determine the empirical probability that a randomly selected person can select Coke when given samples of both
The probability that a heat-seeking torpedo will hit its target is 0.4. If the first torpedo hits its target, the probability that the second torpedo will hit the target increases to 0.9 because of
Read the Recreational Mathematics box on page 702 regarding the Monty Hall problem. Do research and write a paper on Bayes’ theorem. Include a discussion of how Bayes’ theorem can be used to
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it was determined that 16 patients reacted favorably to the
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it was determined that 16 patients reacted favorably to the
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it was determined that 16 patients reacted favorably to the
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it was determined that 16 patients reacted favorably to the
Given that P(A) = 0.3, P(B) = 0.5, and P(A and B) = 0.15, use the formulato determinea) P(A | B).b) P(B | A).c) Are A and B independent? Explain. P(E, and E2) P(E2 E) P(E)
A sample of 30 people who recently hired an attorney yielded the following information about their attorneys.Number of People
a) Explain how you would determine the empirical probability of rolling a 5 on a die.b) What do you believe is the empirical probability of rolling a 5?c) Determine the empirical probability of
The faculty of Macomb Community College were surveyed to determine the brand of smartphone they owned. The results are shown in the table below.If a faculty member is randomly selected, determine the
Write the theoretical probability answer as a fraction in lowest terms.Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected,
The faculty of Macomb Community College were surveyed to determine the brand of smartphone they owned. The results are shown in the table below.If a faculty member is randomly selected, determine the
Write the theoretical probability answer as a fraction in lowest terms.Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected,
The faculty of Macomb Community College were surveyed to determine the brand of smartphone they owned. The results are shown in the table below.If a faculty member is randomly selected, determine the
Scott has a bucket containing baseballs. He has 18 Diamond baseballs, 14 Rawlings baseballs, and 4 Wilson baseballs. Scott will randomly select two baseballs from the bucket. Determine the
Write the theoretical probability answer as a fraction in lowest terms.Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected,
Scott has a bucket containing baseballs. He has 18 Diamond baseballs, 14 Rawlings baseballs, and 4 Wilson baseballs. Scott will randomly select two baseballs from the bucket. Determine the
Write the theoretical probability answer as a fraction in lowest terms.Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected,
Scott has a bucket containing baseballs. He has 18 Diamond baseballs, 14 Rawlings baseballs, and 4 Wilson baseballs. Scott will randomly select two baseballs from the bucket. Determine the
The faculty of Macomb Community College were surveyed to determine the brand of smartphone they owned. The results are shown in the table below.If a faculty member is randomly selected, determine the
In the community of Spring Hill, 60% of the homes purchased cost more than $160,000.a) Write the binomial probability formula to determine the probability that exactly x of the next n homes purchased
Scott has a bucket containing baseballs. He has 18 Diamond baseballs, 14 Rawlings baseballs, and 4 Wilson baseballs. Scott will randomly select two baseballs from the bucket. Determine the
The faculty of Macomb Community College were surveyed to determine the brand of smartphone they owned. The results are shown in the table below.If a faculty member is randomly selected, determine the
Write the theoretical probability answer as a fraction in lowest terms.Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected,
a) The Probability of a Girl The Bronsons plan to have eight children. Determine the probability that all their children will be girls. (Assume that P (girl) = 1/2 and assume independence.)b) If
Write the theoretical probability answer as a fraction in lowest terms.Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected,
Write the theoretical probability answer as a fraction in lowest terms.Which contains information about 36 jars of salsa available at the Meals for Millions Food Pantry.If a jar is randomly selected,
Many newspapers contain JUMBLE puzzles, where the letters of a word are given out of order. In Exercise, read the Recreational Math box and determinea) The number of different possible arrangements
A cooler contains 66 cans of soda. There are 24 cans of Coca-Cola, 12 cans of Diet Coke, 9 cans of Dr Pepper, 15 cans of Mountain Dew, and 6 cans of Diet Pepsi. If one can of soda is randomly
Many newspapers contain JUMBLE puzzles, where the letters of a word are given out of order. In Exercise, read the Recreational Math box and determinea) The number of different possible arrangements
A cooler contains 66 cans of soda. There are 24 cans of Coca-Cola, 12 cans of Diet Coke, 9 cans of Dr Pepper, 15 cans of Mountain Dew, and 6 cans of Diet Pepsi. If one can of soda is randomly
Choose a state lottery and do research and write a paper indicatinga) The probability of winning the grand prize.b) The odds against winning the grand prize.c) Explain, using real objects such as
A cooler contains 66 cans of soda. There are 24 cans of Coca-Cola, 12 cans of Diet Coke, 9 cans of Dr Pepper, 15 cans of Mountain Dew, and 6 cans of Diet Pepsi. If one can of soda is randomly
Multiple births make up about 3.5% of births per year in the United States. The following artwork illustrates the number and type of multiple births in the U. S. in 2017.Determine an estimate for the
A cooler contains 66 cans of soda. There are 24 cans of Coca-Cola, 12 cans of Diet Coke, 9 cans of Dr Pepper, 15 cans of Mountain Dew, and 6 cans of Diet Pepsi. If one can of soda is randomly
Observe the roulette wheel illustrated. If the wheel is spun, determinea) The probability that the ball lands on red.b) The odds against the ball landing on red.c) The probability that the ball lands
Use the following table, which shows the number of Chevrolet Malibus and Chevrolet Impalas sold at Kieler Garage during August 2019. The number of coupes and sedans is also shown.If one of these
A cooler contains 66 cans of soda. There are 24 cans of Coca-Cola, 12 cans of Diet Coke, 9 cans of Dr Pepper, 15 cans of Mountain Dew, and 6 cans of Diet Pepsi. If one can of soda is randomly
Racetracks quote the approximate odds against each horse winning on a large board called a tote board. The odds quoted on a tote board for a race with four horses are as follows.Horse
Use the following table, which shows the number of Chevrolet Malibus and Chevrolet Impalas sold at Kieler Garage during August 2019. The number of coupes and sedans is also shown.If one of these
A cooler contains 66 cans of soda. There are 24 cans of Coca-Cola, 12 cans of Diet Coke, 9 cans of Dr Pepper, 15 cans of Mountain Dew, and 6 cans of Diet Pepsi. If one can of soda is randomly
Two cards are dealt without replacement, from a standard 52-card deck. Determine the probability that two aces are selected (use combinations). A A
Use the roulette wheel illustrated above and to the right. A roulette wheel typically contains slots with numbers 1–36 and slots marked 0 and 00. A ball is spun on the wheel and comes to rest in
One in 175 individual tax returns will be audited by the IRS. Determinea) The probability that an individual tax return will be audited.b) The odds against an individual tax return being audited.
Use the following table, which shows the number of Chevrolet Malibus and Chevrolet Impalas sold at Kieler Garage during August 2019. The number of coupes and sedans is also shown.If one of these
In Exercises 55 and 56, use the roulette wheel illustrated above and to the right. A roulette wheel typically contains slots with numbers 1–36 and slots marked 0 and 00. A ball is spun on the wheel
Use the following table, which shows the number of Chevrolet Malibus and Chevrolet Impalas sold at Kieler Garage during August 2019. The number of coupes and sedans is also shown.If one of these
Congenital disabilities affect 1 in 33 babies born in the United States each year.a) What is the probability that a baby born in the United States will have a congenital disability?b) What are the
If one of these vehicles is randomly selected, determine the probability that the vehicle is a coupe, given that the vehicle selected is a Malibu.In Exercises 53–58, use the following table, which
If one of these vehicles is randomly selected, determine the probability that the vehicle isa Malibu, given that the vehicle selected is a coupe.In Exercises, use the following table, which shows the
In popular card games, there is such a variety of possible combinations of cards that a player rarely gets the same hand twice. Use the following information about card games to determine the number
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
In 2019, approximately 9% of Americans had diabetes. If an American is randomly selected, determine thea) Odds against the person having diabetes.b) Odds in favor of the person having diabetes.
In how many ways can the letters in the wordCHATTAHOOCHEE be arranged?
In a given year, there is a 27% chance that a major hurricane hits Florida. Determinea) Odds in favor of a major hurricane hitting Florida.b) Odds against a major hurricane hitting Florida.
The Matadors motorcycle club has 15 members. Eleven members ride Harley-Davidson motorcycles, and 4 members ride Victory motorcycles. If 5 members of the club are randomly selected, what is the
Assume that the spinner cannot land on a line.If spun once, determine the probability that the spinner does not land on green.
When a standard deck of cards is purchased, the deck usually includes 2 jokers. This means if the jokers are included, the deck contains 54 cards. Teresa is playing a game in which she is dealt 8
In Exercises 37–42, 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
Bobby is selling his house and is preparing a flier to give to potential buyers. On the flier, Bobby wishes to put 2 photos of the outside of the house and 4 photos of the inside of the house. He has
In Exercises, assume that the spinner cannot land on a line.If spun once, determineA person wins $10 if the spinner lands on green, wins $5 if the spinner lands on red, and loses $20 if the spinner
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
Assume that the spinner cannot land on a line.If spun once, determineIf the spinner is spun three times, determine the probability that at least one spin lands on red.
A straight in poker is 5 cards of any suit in sequence. A jack is considered an 11, a queen is considered a 12, a king is considered a 13, and an ace is considered as either a 1 or a 14. The
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) Prefers John’s
In Exercises 37–42, the following circle graph, which was created using with data from the website www.healthline.com, shows the percentages of Americans with the various blood types.If one
Darya is a real estate broker with a house listing. Darya estimates that this listing will cost her $2400 for various expenses. If Darya sells the house within 6 months, she will receive a commission
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) Prefers

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