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mathematics
precalculus

Questions and Answers of Precalculus

Use a table to find the indicated limit. x - 4x lim x→4 x – 4
Use a table to find the indicated limit. lim x→0 x² + 4 ,2
Use a table to find the indicated limit. x + 1 lim x→0 x² + 1
Use a table to find the indicated limit. lim (2.x² + 1) →3
Use a table to find the indicated limit. lim (4x
True or Falser.exists and equals some number for any function as long as f c is in the domain of f. lim f(x)
True or False.may be described by saying that the value of gets closer to N as x gets closer to c but remains unequal to c. lim f(x) = N
If a function has no limit as x approaches c, then we say that lim f(x) (x) х—с
The limit of a function as x approaches c is denoted by the symbol ______.
Graph Зх — 2 f(x) = 3 [3 if x + 2 if x = 2
Solve the following triangle and determine its area. a 5 40° B.
What is the 33rd term in the sequence -3, 1, 5, 9...? What is the sum of the first 20 terms?
Solve the system: 15 х — 2у + z %3D Зх + у — 3z %3D -8 -2х + 4у — z %3D -27 Z. -27
Solve: log2 (3x – 2) + log2 x = 4.
What is the exact value of log39?
Graph g(x) = 3x-1 + 5 using transformations. Determine the domain, the range, and horizontal asymptote of g.
Find the complex zeros of f(x) = 5x4 – 9x3 – 7x2 – 31x – 6
Solve: |x – 4| ≤ 0.01
Graph f(x) = 2(x + 1)2 - 4 using transformations.
Graph f(x) = x2 + 4x – 5 by determining whether the graph opens up or down and by finding the vertex, axis of symmetry, and intercepts.
Solve: 3x2 – 2x = - 1
If you roll a die five times, what is the probability that you obtain exactly 2 fours?
Powerball is a multistate lottery in which 5 white balls from a drum with 53 balls and 1 red ball from a drum with 42 red balls are selected. For a $1 ticket, players get one chance at winning the
A study on the age distribution of students at a community college gave the following table: What must be the probability that a randomly selected student at the college is between 18 and 20
A cooler contains 8 bottles of Pepsi, 5 bottles of Coke, 4 bottles of Mountain Dew, and 3 bottles of IBC. (a) What is the probability that a bottle chosen at random is Coke? (b) What is the
Kiersten applies for admission to the University of Southern California (USC) and Florida State University (FSU). She estimates that she has a 60% chance of being admitted to USC, a 70% chance of
On February 20, 2004, the Ohio Bureau of Motor Vehicles unveiled the state’s new license plate format. The plate consists of three letters (A–Z) followed by 4 digits (0–9). Assume that all
In horse racing, an exacta bet requires the bettor to pick the first two horses in the exact order. If there are 8 horses in a race, in how many ways could you make an exacta bet?
How many distinct 8-letter words (real or imaginary) can be formed from the letters in the word REDEEMED?
M&M’s® offers customers the opportunity to create their own color mix of candy. There are 21 colors to choose from, and customers are allowed to select up to 6 different colors. How many
Compute the value of the given expression. C(11, 5)
Compute the value of the given expression. P(10, 6)
Compute the value of the given expression. a7!
A survey of 70 college freshmen asked whether students planned to take biology, chemistry, or physics during their first year. Use the diagram to answer each question. How many of the surveyed
A survey of 70 college freshmen asked whether students planned to take biology, chemistry, or physics during their first year. Use the diagram to answer each question. How many of the surveyed
A survey of 70 college freshmen asked whether students planned to take biology, chemistry, or physics during their first year. Use the diagram to answer each question. How many of the surveyed
A survey of 70 college freshmen asked whether students planned to take biology, chemistry, or physics during their first year. Use the diagram to answer each question. How many of the surveyed
At the Milex tune-up and brake repair shop, the manager has found that a car will require a tune-up with a probability of 0.6, a brake job with a probability of 0.1, and both with a probability of
Each of the numbers, 1,2...100 is written on an index card and the cards are shuffled. If a card is selected at random, what is the probability that the number on the card is divisible by 5? What is
Each letter in the word ROSE is written on an index card and the cards are shuffled. When the cards are dealt, what is the probability that they spell the word ROSE?
You have four $1 bills, three $5 bills, and two $10 bills in your wallet. If you pick a bill at random, what is the probability that it will be a $1 bill?
From a box containing three 40-watt bulbs, six 60-watt bulbs, and eleven 75-watt bulbs, a bulb is drawn at random. What is the probability that the bulb is 40 watts? What is the probability that it
According to the U.S. Bureau of Labor Statistics, 5.8% of the U.S. labor force was unemployed in 2002. (a) What is the probability that a randomly selected member of the U.S. labor force was
According to the U.S. National Center for Health Statistics, 29% of all deaths in 2001 were due to heart disease. (a) What is the probability that a randomly selected death in 2001 was due to
For this problem, assume that a year has 365 days. (a) How many ways can 18 people have different birthdays? (b) What is the probability that nobody has the same birthday in a group of 18
A group consists of 5 men and 8 women. A committee of 4 is to be formed from this group, and policy dictates that at least 1 woman be on this committee. (a) How many committees can be formed
A group of 9 people is going to be formed into committees of 4, 3, and 2 people. How many committees can be formed if: (a) A person can serve on any number of committees? (b) No person can
How many different vertical arrangements are there of 10 flags if 4 are white, 3 are blue, 2 are green, and 1 is red?
How many different words, real or imaginary, can be formed using all the letters in the word MISSING?
Using the digits 0 and 1, how many different numbers consisting of 8 digits can be formed?
A license plate consists of 1 letter, excluding O and I, followed by a 4-digit number that cannot have a 0 in the lead position. How many different plates are possible?
A contractor constructs homes with 5 different choices of exterior finish, 3 different roof arrangements, and 4 different window designs. How many different types of homes can be built?
Using the digits 0,1,2,...9 how many 7-digit numbers can be formed if the first digit cannot be 0 or 9 and if the last digit is greater than or equal to 2 and less than or equal to 3? Repeated digits
There are 5 different French books and 5 different Spanish books. How many ways are there to arrange them on a shelf if: (a) Books of the same language must be grouped together, French on the
In how many ways can 2 teams from 14 teams in the American League be chosen without regard to which team is at home?
A professor has 10 similar problems to put on a test that has 3 problems. How many different tests can she design?
In how many ways can a squad of 4 relay runners be chosen from a track team of 8 runners?
How many different arrangements are there of the letters in the word ROSE?
If 4 people enter a bus having 9 vacant seats, in how many ways can they be seated?
On a given day, the National Baseball League schedules 6 games. How many different outcomes are possible, assuming that each game is played to completion?
On a given day, the American Baseball League schedules 7 games. How many different outcomes are possible, assuming that each game is played to completion?
In connecting a certain electrical device, 5 wires are to be connected to 5 different terminals. How many different wirings are possible if 1 wire is connected to each terminal?
A clothing store sells pure wool and polyester-wool suits. Each suit comes in 3 colors and 10 sizes. How many suits are required for a complete assortment?
Compute the given expression. C(7, 3)
Compute the given expression. C(8, 3)
Compute the given expression. P(7, 3)
Compute the given expression. P(8, 3)
Use the information supplied in the figure.How many are in B but not in C? A B 20 5 20 4
Use the information supplied in the figure.How many are in neither A nor C? A B 20 5 20 4
Use the information supplied in the figure.How many are not in B? A B 20 5 20 4
Use the information supplied in the figure.How many are in A and C? A B 20 5 20 4
Use the information supplied in the figure.How many are in A or B? A B 20 5 20 4
Use the information supplied in the figure.How many are in A?
If n(A) = 12, n(A ∪ B) = 30, and n(A ∩ B) = 6, find n(B).
If n(A) = 8, n(B) = 12 and n(A ∩ B) = 3, find n(A ∪ B).
Write down all the subsets of the set {Green, Blue, Red}.
Write down all the subsets of the set {Dave, Joanne, Erica}.
In a certain lottery, there are ten balls, numbered 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Of these, five are drawn in order. If you pick five numbers that match those drawn in the correct order, you win
What is the probability that at least 2 people have the same birthday in a group of 35 people? Assume that there are 365 days in a year.
What is the probability that at least 2 people have the same birthday in a group of 12 people? Assume that there are 365 days in a year.
The faculty of the mathematics department at Joliet Junior College is composed of 4 females and 9 males. Of the 4 females, 2 are under age 40, and of the males 3 are under age 40. Find the
In a certain Precalculus class, there are 18 freshmen and 15 sophomores. Of the 18 freshmen, 10 are male, and of the 15 sophomores, 8 are male. Find the probability that a randomly selected student
Through observation, it has been determined that the probability for a given number of people waiting in line at the “5 items or less” checkout register of a supermarket is as follows: Find
In a survey about the number of TV sets in a house, the following probability table was constructed: Find the probability of a house having: (a) 1 or 2 TV sets (b) 1 or more TV
Given the problem is based on a consumer survey of annual incomes in 100 households. The following table gives the data.What is the probability that a household has an annual income of $20,000 or
Given the problem is based on a consumer survey of annual incomes in 100 households. The following table gives the data.What is the probability that a household has an annual income of less than
Given the problem is based on a consumer survey of annual incomes in 100 households. The following table gives the data.What is the probability that a household has an annual income between $10,000
Given the problem is based on a consumer survey of annual incomes in 100 households. The following table gives the data.What is the probability that a household has an annual income of $30,000 or
Another game on the “Price is Right” requires the contestant to spin a wheel with numbers 5, 10, 15, 100. What is the probability that the contestant spins 100 or 30?
On the “Price is Right” there is a game in which a bag is filled with 3 strike chips and 5 numbers. Let’s say that the numbers in the bag are 0, 1, 3, 6, and 9. What is the probability of
A golf ball is selected at random from a container. If the container has 9 white balls, 8 green balls, and 3 orange balls, find the probability of each event. The golf ball is not green.
A golf ball is selected at random from a container. If the container has 9 white balls, 8 green balls, and 3 orange balls, find the probability of each event. The golf ball is not white.
A golf ball is selected at random from a container. If the container has 9 white balls, 8 green balls, and 3 orange balls, find the probability of each event. The golf ball is white or orange.
A golf ball is selected at random from a container. If the container has 9 white balls, 8 green balls, and 3 orange balls, find the probability of each event. The golf ball is white or green.
According to the Girl Scouts of America, in March 2006, 9% of all Girl Scout cookies sold are shortbread/trefoils. If a box of Girl Scout cookies is selected at random, what is the probability that
According to a Harris poll (January 12–17, 2006), 5% of U.S. adults admitted to having spent money gambling online. If a U.S. adult is selected at random, what is the probability that he or she has
According to the National Science Foundation, in 2004 there was a 13.7% probability that a doctoral degree awarded at a U.S. university was awarded in engineering. If a 2004 U.S. doctoral recipient
According to the American Pet Products Manufacturers Association’s 2005–2006 National Pet Owners Survey, in 2004 there was a 34% probability that a U.S. pet owner owned a cat. If a U.S. pet owner
According to the American Pet Products Manufacturers Association’s 2005-2006 National Pet Owners Survey, there is a 63% probability that a U.S. household owns a pet. If a U.S. household is randomly
According to the Insurance Information Institute, in 2004 there was a 13% probability that an automobile theft in the United States would be cleared by arrests. If an automobile theft case from 2004

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