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mathematics
a survey of mathematics with applications

Questions and Answers of A Survey of Mathematics with Applications

Pinochle is a card game played with a deck that contains 48 cards. If two cards are drawn from a pinochle deck, determine the number of possible outcomes if the cards are drawna) With replacement.b)
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 5.b) A 5 given that the ball is orange. 3 (5)
Use the fundamental counting principle to determine the number of sample points in the sample space.One colored chip—red, blue, or green—is randomly selected and a fair die is rolled.
Tito purchased one raffle ticket as part of a Meals on Wheels fundraiser. The grand prize–winning ticket will be randomly drawn from 100 tickets sold. Determinea) The probability that Tito wins the
In July in Benton Township, corn stalks grow 2.5 in. per day on sunny days and 1.5 in. per day on cloudy days. If in Benton Township in July, 70% of the days are sunny and 30% are cloudy,a) Determine
Fill in the blank with an appropriate word, phrase, or symbol(s).The formula for determining the probability of event A or event B is P (A or B) = _________.
Evaluate the expression.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) A 6.b) A 6, given that the ball is yellow. 3
A store has a bin full of smartphone chargers of various colors. There are 8 red, 10 white, 6 blue, and 12 pink chargers in the bin. If Kat randomly selects one of the chargers, determinea) The
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
Fill in the blank with an appropriate word, phrase, or symbol(s).The formula for determining the probability of event A and event B is P (A and B) = _______.
Evaluate the expression.8!
Fill in the blank with an appropriate word, phrase, or symbol(s).If the probability that an event occurs is 0.2, the probability that the event does not occur is ________.
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 even number.b) An even number, given that
At the Pan Pacific restaurant, fortune cookies contain a slip of paper indicating a dollar amount that will be subtracted from your restaurant bill. You are to randomly select one out of ten fortune
An egg distributor determines that the probability that any individual egg has a crack is 0.14.a) Write the binomial probability formula used to determine the probability that exactly x eggs of n
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
Ashton’s car console has 6 nickels and 8 quarters. Ashton randomly selects 5 coins to pay a toll. Assume all coins are equally likely to be selected. What is the probability that Ashton selects 5
Evaluate the expression.0!
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.Five percent of what number is 15?
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.Ten percent of what number is 75?
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.Forty-two is 28% of what number?
Where appropriate, round your answer to the nearest tenth of percent. Determine the answer to the question.Eighteen is 20% of what number?
The U.S. government borrows money by selling Treasury bills. Treasury bills are discounted notes issued by the U.S. government. On November 14, 2018, Kris purchased a 364-day, $1000 U.S. Treasury
According to the Original Tipping Page, www.tipping.org, it is appropriate to tip waiters and waitresses 15%–20% of the pre tax restaurant bill. The Leesebergs’ dinner costs $63.50 before tax,
On December 3, 2018, Trinity purchased a 364-day, $6000 U.S. Treasury bill at a 0.12% discount.a) What is the date of maturity of the Treasury bill?b) How much did Trinity actually pay for the
Where appropriate, round your answer to the nearest tenth of percent.The cost of a jacket at Macy’s is $54.27, including 8% sales tax. What is the pretax cost of the jacket?
Where appropriate, round your answer to the nearest tenth of percent.The cost of a book at Barnes & Noble is $32.10, including 7% sales tax. What is the pretax cost of the book?
Fill in the blank with an appropriate word, phrase, or symbol(s).The probability of event E2 occurring, given that event E1 has happened, is called a(n) _______ probability.
Fill in the blank with an appropriate word, phrase, or symbol(s).The expected gain or loss of an experiment over the long run is called the ________ value.
Fill in the blank with an appropriate word, phrase, or symbol(s).A distinct group of objects without regard to their arrangement is called a(n) _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).In a binomial experiment, there are n repeated, independent _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).Probability problems that contain the words and or or are considered _______ probability problems.
A bin full of promotional pens for the University of Florida contains 12 blue pens and 8 orange pens. If Lindsay randomly selects 4 pens from the bin, determine the probability that all 4 pens are
Fill in the blank with an appropriate word, phrase, or symbol(s).Any ordered arrangement of a given set of objects is called a(n) _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).A controlled operation that yields a set of results is called a(n) ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).A list of all possible outcomes of an experiment is called a(n) _______ space.
Fill in the blank with an appropriate word, phrase, or symbol(s).The notation for the probability of E2, given E1, is _______.
Each of the numbers 1–9 is written on a sheet of paper and the nine sheets of paper are placed in a hat. If one sheet of paper is randomly selected from the hat, determine the probability that the
Fill in the blank with an appropriate word, phrase, or symbol(s).The ratio of the probability that the event will occur to the probability that the event will fail to occur is called the odds
Fill in the blank with an appropriate word, phrase, or symbol(s).In an experiment, if there is a loss in the long run, the expected value is ________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).The symbol for the number of combinations when r items are selected from n distinct items is _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).Each trial in a binomial experiment has two possible outcomes, success and _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).Probability problems that require obtaining a successful outcome for at least one of the given events are _______ probability
The Crawford County Speedway held a race with 18 Ford cars and 12 Chevrolet cars. If 8 of these cars are randomly selected, determine the probability that all 8 are Chevrolet cars.Set up the problem
Fill in the blank with an appropriate word, phrase, or symbol(s).To determine the number of distinct outcomes when two or more experiments are performed, the fundamental _______ principle can be used.
Fill in the blank with an appropriate word, phrase, or symbol(s).The possible results of an experiment are called its ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).Each individual outcome in a sample space is called a sample _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).If n(E1 and E2) = 3 and n(E1) = 7, then P(E2 | E1) = _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).If the odds in favor of Haikal winning a horse race are 1 : 4, then the odds against Haikal winning the race are ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).In an experiment, if there is a gain in the long run, the expected value is ________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).If we want to select r items from n items, and the order of the arrangement is important, then _______ are used.
Fill in the blank with an appropriate word, phrase, or symbol(s).In the binomial probability formula, p represents the probability of _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).Probability problems that require obtaining a favorable outcome in each of the given events are _______ probability problems.
Fill in the blank with an appropriate word, phrase, or symbol(s).A subcollection of the outcomes of an experiment is called a(n) ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).If a first experiment has 3 distinct outcomes and a second experiment has 8 distinct outcomes, then the two experiments in that
Fill in the blank with an appropriate word, phrase, or symbol(s).If n(E1 and E2) = 4 and n(E1) = 16, then P(E2 | E1) = _______.
Each of the numbers 1–9 is written on a sheet of paper and the nine sheets of paper are placed in a hat. If one sheet of paper is randomly selected from the hat, determine the probability that the
Fill in the blank with an appropriate word, phrase, or symbol(s).If the odds against winning at Splendor are 5 : 1, then the odds in favor of winning at Splendor are ________.
Fill in the blank with an appropriate word, phrase, or symbol(s).In an experiment, if there is neither a gain nor a loss in the long run, the expected value is ________ .
Fill in the blank with an appropriate word, phrase, or symbol(s).If we want to select r items from n items, and the order of the arrangement is not important, then _______ are used.
Fill in the blank with an appropriate word, phrase, or symbol(s).In the binomial probability formula, q represents the probability of _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).If it is impossible for two events A and B to occur simultaneously, then the events are considered to be _______ exclusive.
Draw one card from a standard 52-card deck 40 times with replacement and compute the empirical probability of selecting a heart.
Fill in the blank with an appropriate word, phrase, or symbol(s).The formula for the number of permutations of n distinct items is n! = _______.
Fill in the blank with an appropriate word, phrase, or symbol(s).Probability determined by the relative frequency of occurrence of an event, or actual observations of an experiment is called ________
Determine the simple interest. Unless noted otherwise, assume the rate is an annual rate. Assume 360 days in a year. Round answers to the nearest cent.p = $2756.78, r = 10.15%, t = 103 days
Determine the missing quantity by using the simple interest formula.p = $4400, r = 3.2%, t = 4 years, i = ?
To help pay for new costumes for a play, the Manlius Theater invests $1500 in a 30-month CD paying 2.8% interest compounded monthly. Determine the amount the theater will receive when it cashes in
Change the number given as a percent to a decimal number.298.7%
Determine the missing quantity by using the simple interest formula.p = ?, r = 5.5%, t = 3 years, i = $280.50
The city of San Francisco wishes to repay a debt of $25,000,000 in 50 years. How much should the city invest semiannually in a sinking fund paying a 7.5% interest rate compounded semiannually to
On the September 5 billing date, Tasia had a balance of $2302.65 on her credit card. From September 5 through October 5, Tasia charged an additional $106.72 and made a payment of $550.a) Determine
To replace the roof on his house, Matt borrows $7500 from his brother. The loan was for 24 months and had a simple interest rate of 2.5%. Determine the amount Matt paid his brother on the date of
Brent borrowed $3000 from his brother Dave. He agreed to repay the money at the end of 2 years, giving Dave the same amount of interest that he would have received if the money had been invested at
Joshua uses the Small Business Administration (SBA) Loan Program to obtain a loan to help expand his health food store. Joshua borrows $45,000 for 2 years with a simple interest rate of 1.5%.
One serving of Lays Classic Potato Chips contains 10 grams of fat. Lays Oven Baked Potato Chips contains 65% less fat per serving than Lays Classic Potato Chips. How many grams of fat does one
Rikki borrowed $2500 from her daughter, Lynette. She repaid the $2500 at the end of 2 years. If Lynette had left the money in a bank account that paid an interest rate of 1.5% compounded monthly, how
The city of Charlottesville is offering simple interest loans to start-up businesses at a rate of 3.5%. Mr. Cannata obtains one of these loans of $6000 for 3 years to help pay for start-up costs of
Janice owns a hair salon and needs $20,000 to renovate her salon. She borrows the money on a 30-month personal bank note. The simple interest rate charged is 5.75%.a) How much interest does Janice
Use the circle graph to answer the questions. The Lafayette County Library classifies its DVDs into one of the categories shown below. The library owns 1743 DVDs. Round your answers to the nearest
Seth invests $2500 in a 2-year certificate of deposit (CD) that pays 1.75% interest rate compounded monthly. What will be the value of the CD in 2 years?
Kwame borrowed $2500 for 5 months from a bank using a 2% discount note.a) How much interest did Kwame pay the bank for the use of its money?b) How much did he receive from the bank?c) What was the
How much money should Maggie invest in a 5-year CD that pays a 3.1% interest rate compounded quarterly so the CD will be worth $5500 in 5 years?
Summit Credit Union advertises a money market account that pays 0.750% compounded daily. ESL Credit Union advertises a money market account that pays 0.749% compounded semiannually.a) Determine the
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.February 25 to May 5 Days in Each Month 31 28 31 30 31
Dov borrowed $875 against his charge account on September 12 and repaid the loan on October 14 (32 days later). Assume that the interest rate is 0.04273% per day.a) How much interest did Dov pay on
M&T Bank advertises a CD that pays 2.23% compounded quarterly. Key Bank advertises a CD that pays 2.25% compounded semiannually.a) Determine the annual percentage yield for the M&T Bank CD.b)
Determine the exact time from the first date to the second date. Use Table 10.1. Assume the year is not a leap year unless otherwise indicated.July 5 to November 18 Days in Each Month 31 28 31 30 31
Tanya uses her credit card to obtain a cash advance of $600 to pay for her eyeglasses. The interest rate charged for the loan is 0.05477% per day. Tanya repays the money plus the interest after 27
Corinne’s goal is to have $55,000 to start a new cake decorating business when she retires in 15 years. How much should she invest now in a CD that pays 4% interest compounded quarterly to reach
Determine the due date of the loan, using the exact time, if the loan is made on the given date for the given number of days.May 31 for 150 days
Suppose you purchase a new wardrobe for $1000 with a credit card. You decide to pay for your new wardrobe by making the minimum monthly payment each month. You do not charge anything else to this
The population of Russia has declined since the fall of the Soviet Union. In 1990, the population of Russia was about 148 million people. In 2018, the population of Russia was about 146.8 million
Adam wishes to have $25,000 available in 18 years to purchase a new car for his son as a gift for his high school graduation. To accomplish this goal, how much should Adam invest now in a CD that
Determine the due date of the loan, using the exact time, if the loan is made on the given date for the given number of days.March 13 for 120 days
Unlike the population of Russia, the population of the United States has been increasing since 1990. In 1990, the population of the United States was about 249 million people. In 2018, the population
The Drummonds have decided to build a new house. The contractor quoted them a price of $135,700. The taxes on the house will be $3450 per year, and homeowners’ insurance will be $350 per year. They
Diane plans to remodel her kitchen in 5 years. How much should Diane invest in a money market account that pays 2.1% interest compounded quarterly in order to have $8000 in 5 years?In Exercise, if
The graph above and to the right, created by Stat Crunch, shows the U.S. gross box office earnings for movies, in millions of dollars, for the years 2013–2018.a) Determine the percent decrease in

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