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college algebra graphs and models

Questions and Answers of College Algebra Graphs And Models

In Exercises 49–52, a single die is rolled twice. Find the probability of rollinga 5 the first time and a 1 the second time.
The table shows the population of Florida for 2000 and 2010, with estimates given by the U.S. Census Bureau for 2001 through 2009.a. Divide the population, for each year by the population in the
Exercises 49–51 will help you prepare for the material covered in the next section. Each exercise involves observing a pattern in the expanded form of the binomial expression (a + b)n.Describe the
Use the formula for nCr to solve Exercises 49–56.A four-person committee is to be elected from an organization’s membership of 11 people. How many different committees are possible?
In Exercises 43–54, express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation 4 + 2 + 3 + 4" | n
Use the graphs of the arithmetic sequences {an} and {bn} to solve Exercises 51–58.Find a16 + b18. bn "D 100 PA LOO CN 00 C n n 910 G menja ह्म प्रै HH
In Exercises 50–51, express each repeating decimal as a fraction in lowest terms.0.6̅
In Exercises 53–54, find and simplify.f(x) = x4 + 7 f(x +h)-f(x) h
In Exercises 49–52, a single die is rolled twice. Find the probability of rollingan even number the first time and a number greater than 2 the second time.
Use the formula for nCr to solve Exercises 49–56.Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take?
In Exercises 43–54, express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation 1 9 + 2 92 + 3 + + n 9n
Use the graphs of the arithmetic sequences {an} and {bn} to solve Exercises 51–58.If {an} is a finite sequence whose last term is -83, how many terms does {an} contain? bn "D 100 PA LOO CN 00
In Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is
In Exercises 50–51, express each repeating decimal as a fraction in lowest terms.0.4̅7̅
In Exercises 49–52, a single die is rolled twice. Find the probability of rolling an odd number the first time and a number less than 3 the second time.
Use the graphs of the arithmetic sequences {an} and {bn} to solve Exercises 51–58.If {bn} is a finite sequence whose last term is 93, how many terms does {bn} contain? bn "D 100 PA LOO CN 00
Use the formula for nCr to solve Exercises 49–56.There are 14 standbys who hope to get seats on a flight, but only 6 seats are available on the plane. How many different ways can the 6 people be
In Exercises 53–54, find and simplify.f(x) = x5 + 8 f(x +h)-f(x) h
In Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is
The probability that South Florida will be hit by a major hurricane (category 4 or 5) in any single year is 1 1/6.a. What is the probability that South Florida will be hit by a major hurricane two
If you toss a fair coin six times, what is the probability of getting all heads?
Use the formula for nCr to solve Exercises 49–56.You volunteer to help drive children at a charity event to the zoo, but you can fit only 8 of the 17 children present in your van. How many
Find the middle term in the expansion of 3 X + 3 X 10
In Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is
Use the graphs of the arithmetic sequences {an} and {bn} to solve Exercises 51–58.Find the difference between the sum of the first 14 terms of {bn} and the sum of the first 14 terms of {an}.
In Exercises 43–54, express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation1 + 3 + 5 + g+ (2n - 1)
A job pays $32,000 for the first year with an annual increase of 6% per year beginning in the second year. What is the salary in the sixth year? What is the total salary paid over this six-year
Use the graphs of the arithmetic sequences {an} and {bn} to solve Exercises 51–58.Find the difference between the sum of the first 15 terms of {bn} and the sum of the first 15 terms of {an}.
If you toss a fair coin seven times, what is the probability of getting all tails?
In Exercises 54–55, use the formula for the value of an annuity and round to the nearest dollar.You spend $10 per week on lottery tickets, averaging $520 per year. Instead of buying tickets, if you
Use the formula for nCr to solve Exercises 49–56.Of the 100 people in the U.S. Senate, 18 serve on the Foreign Relations Committee. How many ways are there to select Senate members for this
Find the middle term in the expansion of 12 ( 1² - x²) ¹₁².
In Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is
In Exercises 43–54, express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summationa + ar + ar2 + g+ arn-1
The graph shows that U.S. smokers have a greater probability of suffering from some ailments than the general adult population. Exercises 57–58 are based on some of the probabilities, expressed as
In Exercises 54–55, use the formula for the value of an annuity and round to the nearest dollar.To save for retirement, you decide to deposit $100 at the end of each month in an IRA that pays 5.5%
Use the formula for nCr to solve Exercises 49–56.To win at LOTTO in the state of Florida, one must correctly select 6 numbers from a collection of 53 numbers (1 through 53). The order in which the
In Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is
In Exercises 55–60, express each sum using summation notation. Use a lower limit of summation of your choice and k for the index of summation.5 + 7 + 9 + 11 +.....+ 31
Use the graphs of the arithmetic sequences {an} and {bn} to solve Exercises 51–58.Write a linear function f(x) = mx + b, whose domain is the set of positive integers, that represents {an}.
The graph shows that U.S. smokers have a greater probability of suffering from some ailments than the general adult population. Exercises 57–58 are based on some of the probabilities, expressed as
In Exercises 57–61, use mathematical induction to prove that each statement is true for every positive integer n. 1 + 4 + 4² + · +42-1 4" - 1 3
Use the graphs of the arithmetic sequences {an} and {bn} to solve Exercises 51–58.Write a linear function g(x) = mx + b, whose domain is the set of positive integers, that represents {bn}.
Use the formula for nCr to solve Exercises 49–56.To win in the New York State lottery, one must correctly select 6 numbers from 59 numbers. The order in which the selection is made does not matter.
In Exercises 57–61, use mathematical induction to prove that each statement is true for every positive integer n. 5 + 10 + 15 + ... + 5n 5n(n+1) 2
In Exercises 51–56, the general term of a sequence is given. Determine whether the sequence is arithmetic, geometric, or neither. If the sequence is arithmetic, find the common difference; if it is
In Exercises 55–60, express each sum using summation notation. Use a lower limit of summation of your choice and k for the index of summation.6 + 8 + 10 + 12 +......+ 32
Describe the difference between theoretical probability and empirical probability.
A factory in an isolated town has an annual payroll of $4 million. It is estimated that 70% of this money is spent within the town, that people in the town receiving this money will again spend 70%
In Exercises 57–66, solve by the method of your choice.In a race in which six automobiles are entered and there are no ties, in how many ways can the first four finishers come in?
In Exercises 57–62, let{an} = -5, 10, -20, 40, . . . ,{bn} = 10, -5, -20, -35, . . . ,{cn} = -2, 1, - 1/2, 1/4, . . . .Find a10 + b10.
Give an example of an event whose probability must be determined empirically rather than theoretically.
In Exercises 55–60, express each sum using summation notation. Use a lower limit of summation of your choice and k for the index of summation.a + ar + ar2 +.....+ ar12
In Exercises 57–61, use mathematical induction to prove that each statement is true for every positive integer n. 1.3+2 4+3·5+ ··· + n(n + 2) = ... = n(n + 1)(2n + 7) 6
In Exercises 57–61, use mathematical induction to prove that each statement is true for every positive integer n. 2 + 6 + 10 + . + (4n - 2) = 2n²
In Exercises 57–66, solve by the method of your choice.A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a selection?
Explain how to evaluate Provide an example with your explanation. n r
In Exercises 55–60, express each sum using summation notation. Use a lower limit of summation of your choice and k for the index of summation.a + ar + ar2 + g+ ar14
In Exercises 57–62, let{an} = -5, 10, -20, 40, . . . ,{bn} = 10, -5, -20, -35, . . . ,{cn} = -2, 1, - 1/2, 1/4, . . . .Find a11 + b11.
Write a probability word problem whose answer is one of the following fractions: 1/6 or 1/4 or 1/3.
The bar graph shows changes in the percentage of college graduates for Americans ages 25 and older from 1990 to 2010. Exercises 61–62 involve developing arithmetic sequences that model the data.In
In Exercises 61–68, use the graphs of {an} and {bn} to find each indicated sum. The Graph of {a} an -1 1. 23 st 50 ITT 20 3 4 5 HA n The Graph of
In Exercises 57–66, solve by the method of your choice.A medical researcher needs 6 people to test the effectiveness of an experimental drug. If 13 people have volunteered for the test, in how many
In Exercises 61–68, use the graphs of {an} and {bn} to find each indicated sum. The Graph of {a} an -1 1. 23 st 50 ITT 20 3 4 5 HA n The Graph of
Use a system of two equations in two variables, a1 and d, to solve Exercises 59–60.Write a formula for the general term (the nth term) of the arithmetic sequence whose second term, a2, is 4 and
In Exercises 55–60, express each sum using summation notation. Use a lower limit of summation of your choice and k for the index of summation.a + (a + d) + (a + 2d) + g+ (a + nd)
In Exercises 57–62, let{an} = -5, 10, -20, 40, . . . ,{bn} = 10, -5, -20, -35, . . . ,{cn} = -2, 1, - 1/2, 1/4, . . . .Find the difference between the sum of the first 10 terms of {an} and the sum
Explain how to find the probability of an event not occurring. Give an example.
The bar graph shows changes in the percentage of college graduates for Americans ages 25 and older from 1990 to 2010. Exercises 61–62 involve developing arithmetic sequences that model the data.In
In Exercises 57–66, solve by the method of your choice.Fifty people purchase raffle tickets. Three winning tickets are selected at random. If first prize is $1000, second prize is $500, and third
In Exercises 61–68, use the graphs of {an} and {bn} to find each indicated sum. The Graph of {a} an -1 1. 23 st 50 ITT 20 3 4 5 HA n The Graph of
Use a system of two equations in two variables, a1 and d, to solve Exercises 59–60.Write a formula for the general term (the nth term) of the arithmetic sequence whose third term, a3, is 7 and
In Exercises 55–60, express each sum using summation notation. Use a lower limit of summation of your choice and k for the index of summation.(a + d) + (a + d2) + g+ (a + dn)
In Exercises 57–62, let{an} = -5, 10, -20, 40, . . . ,{bn} = 10, -5, -20, -35, . . . ,{cn} = -2, 1, - 1/2, 1/4, . . . .Find the difference between the sum of the first 11 terms of {an} and the sum
What are mutually exclusive events? Give an example of two events that are mutually exclusive.
Use one of the models in Exercises 65–66 and the formula for Sn to find the total dormitory charges for your undergraduate education. How well does the model describe your anticipated costs?Data
Describe the pattern in the exponents on a in the expansion of (a + b)n.
In Exercises 61–68, use the graphs of {an} and {bn} to find each indicated sum. The Graph of {a} an -1 1. 23 st 50 ITT 20 3 4 5 HA n The Graph of
In Exercises 57–66, solve by the method of your choice.From a club of 20 people, in how many ways can a group of three members be selected to attend a conference?
In Exercises 62–63, evaluate the given binomial coefficient. 11 8
In Exercises 57–62, let{an} = -5, 10, -20, 40, . . . ,{bn} = 10, -5, -20, -35, . . . ,{cn} = -2, 1, - 1/2, 1/4, . . . .Find the product of the sum of the first 6 terms of {an} and the sum of the
In Exercises 57–61, use mathematical induction to prove that each statement is true for every positive integer n.2 is a factor of n2 + 5n.
Explain how to find or probabilities with mutually exclusive events. Give an example.
The table shows the population of California for 2000 and 2010, with estimates given by the U.S. Census Bureau for 2001 through 2009.a. Divide the population for each year by the population in the
Describe the pattern in the exponents on b in the expansion of (a + b)n.
The bar graph at the top of the next column shows the average number of hours per day that U.S. adult users spent on digital media (desktop/laptop, mobile, and other devices) from 2008 through
In Exercises 57–66, solve by the method of your choice.Fifty people purchase raffle tickets. Three winning tickets are selected at random. If each prize is $500, in how many different ways can the
In Exercises 57–62, let{an} = -5, 10, -20, 40, . . . ,{bn} = 10, -5, -20, -35, . . . ,and {cn} = -2, 1, - 1/2, 1/4, . . . .Find the product of the sum of the first 9 terms of {an} and the sum
The table shows the population of Texas for 2000 and 2010, with estimates given by the U.S. Census Bureau for 2001 through 2009.a. Divide the population for each year by the population in the
Explain how to find or probabilities with mutually exclusive events. Give an example.
The bar graph shows the number of Americans who renounced their U.S. citizenship, many over tax laws, from 2010 through 2014.Let an represent the number of Americans who gave up their U.S.
What is true about the sum of the exponents on a and b in any term in the expansion of (a + b)n?
In Exercises 57–66, solve by the method of your choice.How many different four-letter passwords can be formed from the letters A, B, C, D, E, F, and G if no repetition of letters is allowed?
In Exercises 68–69, graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the Binomial Theorem. fi(x) = (x + 2)³ f3(x) = x³ + 6x²2 f₂(x) = x³ f4(x) =
In Exercises 68–69, graph each of the functions in the same viewing rectangle. Describe how the graphs illustrate the Binomial Theorem. fi(x) = (x + 1)4 f3(x) = x² + 4x³ f₂(x) = x² f4(x) = x4
Explain how to find or probabilities with events that are not mutually exclusive. Give an example.
Exercises 67–72 are based on the following jokes about books:• “Outside of a dog, a book is man’s best friend. Inside of a dog, it’s too dark to read.”—Groucho Marx• “I recently
In Exercises 64–67, use the Binomial Theorem to expand each binomial and express the result in simplified form.(x - 2)6
In Exercises 66–69, determine whether each statement makes sense or does not make sense, and explain your reasoning.Assuming the next U.S. president will be a Democrat or a Republican, the
Exercises 67–72 are based on the following jokes about books:• “Outside of a dog, a book is man’s best friend. Inside of a dog, it’s too dark to read.”—Groucho Marx• “I recently

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