Math Questions

Consider a collection of envelopes consisting of 2 red envelopes, 3 blue envelopes, 3 green envelopes, and 2 yellow envelopes. If three envelopes are selected at random, without replacement, determine the probability that they are all green envelopes. The probability that all of the envelopes are green is (Type an integer or a simplified fraction.)

Under certain air conditions, the air temperature drops about 3.3°F for each 1,000-foot rise in altitude. Complete parts (A) and (B) below. (A) If the temperature at sea level is 59°F, write a linear equation that expresses temperature T in terms of altitude A in thousands of feet. (B) At what altitude is the temperature 22.7°F?. (A) If the temperature at sea level is 59°F, write a linear equation that expresses temperature T in terms of altitude A in thousands of feet. (Type your answer in slope-intercept form.)

The store is selling lemons at $0.60 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?

The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 230 minutes, the monthly cost will be $102.5. If the customer uses 760 minutes, the monthly cost will be $288. A) Find an equation in the form y = mx +b, where is the number of monthly minutes used and y is the total monthly of the Splint plan. Answer: y = B) Use your equation to find the total monthly cost if 973 minutes are used. Answer: If 973 minutes are used, the total cost will be dollars.

Use the interval 25-30% to find the monetary range that is recommended for the monthly rental budget in each situation. Round to the nearest dollar. a. Mark makes $86,000 per year. b. Linda makes $7,000 per month. c. Meghan makes $1,500 per week.

The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set. 2, 7, 15, 2, 15, 9, 11, 9, 2, 7 The range is 13 (Simplify your answer.) The population mean is. (Simplify your answer. Round to the nearest tenth as needed.)

Given the sequence 6, 18, 54, 162, ..., which expression would give the fifteenth term?. 6.314 6 15 6.315

A sample of size n = 10 is drawn from a population. The data is shown below. 132.2 132.2 99.3 132.2 110.8 118.4 104.1 103.3 116.8 123.3 What is the range of this data set? range = What is the standard deviation of this data set? (Round to 2 decimal places) stdev = Question Help: Video Merca

CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold. Write function for the average cost of a disc that is not a sample. What is the average cost if 5000 discs are produced? Show work. How many discs must be produced to bring the average cost under $10? Show work.

You want to buy a new car. You can afford payments of $475 per month and can borrow the money at an interest rate of 4.6% compounded monthly for 5 years. How much are you able to borrow? How much interest do you pay? $

With order not being a concern, how many different ways can 5 items be selected from 17?

You want to buy a $202,000 home. You plan to pay 15% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be? $ b) What will your monthly payments be if the interest rate is 6%? $ c) What will your monthly payments be if the interest rate is 7%? $

The current student population of a town is 1500. If the population decreases at a rate of 15.1% each year, what will the student population be in 6 years? Round your answer to the nearest whole number.

You can afford a $900 per month mortgage payment. You've found a 30 year loan at 6% interest. a) How big of a loan can you afford? b) How much total money will you pay the loan company? c) How much of that money is interest?

A city presently has 2800 water meters installed (business and residential). The planning board estimates that an average of 30 new ones will be installed each month. How many water meters will there be at the end of a year?

The probability of winning a two-spot Keno game is 0.0601. What is the probability of losing the game?

Suppose that 31% of students in a college have a smart phone. If you select three students at random, what is the probability that all three have a smart phone?

A bag contains 2 green marbles, 4 red marbles, and 3 blue marbles. 3 marbles are drawn from the bag without replacement. Find the probability of drawing 2 red marbles and 1 blue marble. Express your answer as a reduced fraction. 3/14 108/504 1/14 36/504

You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 73 km south and 200 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?

A superintendent has 12 schools under his jurisdiction. If he randomly selects 3 schools from these 12, how many different combinations are possible?

Starting in the year 2019, the number of speeding tickets issued each year in Middletown is predicted to grow according to an exponential growth model. During the year 2019, Middletown issued 400 speeding tickets (Po= 400). Every year thereafter, the number of speeding tickets issued is predicted to grow by 5%. The explicit formula for Pn is Pn" . Use the key for the exponent .

For a class, Mrs. Hawk brought in 7 different packages of colored pens. The teacher randomly selects 2 packages. How many different combinations are there?

You deposit $1000 each year into an account earning 5% interest compounded annually. How much will you have in the account in 30 years?

Using Euler's formula, how many edges does a polyhedron with 7 faces and 10 vertices have? Euler's Formula: F + V = E + 2

A company has received applications from 15 candidates who seem to be equally qualified. If the company manager randomly selects 3 candidates from the 15, how many different combinations are possible?

Sarah's English assignment is to read 80 pages. She has read of the assignment. How many pages does she have left to read?

A card is drawn at random from a standard deck of playing cards (no jokers). If it is black, the player wins 1 dollar; if it is not black, the player loses 4 dollars. Find the expected value of the game.

Find the height of a pyramid with a volume of 128 cm³ if the base is a square with a side length of 8 cm.

A car rental company offers two plans for renting a car. Plan A: 25 dollars per day and 13 cents per mile Plan B: 60 dollars per day with free unlimited mileage What inequality represents the situation where plan B save you money compared to plan A? Put the expression for Plan A on the left and the expression for Plan B on the right. Use m to represent the number of miles the rental car is driven. Solve the inequality and give the answer as an interval Give your answer accurate to one decimal place

You want to buy a $231,000 home. You plan to pay 15% as a down payment, and take out a 30 year loan for the rest. What will your monthly payments be if the interest rate is 6%?

An environmental agency will randomly select 4 houses from a block containing 25 houses for a radon check. How many different combinations are possible?

For f(x) = 6x and g(x)=x+9, find the following functions. a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2) a. (fog)(x) =

A 12-oz can of soda pop costs eighty-nine cents. A 2.00 L bottle of the same variety of soda pop costs $2.29. How many times more expensive it is to buy the 12-oz can of pop compared to buying it in a 2.00 L bottle? (1.00 L =1.057 quart and 1 quart contains 32 oz) 2.8 4.2 2.2 1.9 2.6

Name the set of numbers to which √120 belongs. Enter a, b, c, d, or e. a. natural numbers b. whole numbers c. integers d. rational numbers e. irrational numbers

Find the difference quotient of f; that is, find f(x+h)-f(x)/h. h ≠ 0 for the following function f(x) = 7x+6 f(x+h)-f(x)/h=

What is this called: change in y over the change in x A) Formula to find the slope of a line B) Standard form c) Point Slope form D Slope-Intercept form

Fill in the blank, then answer the following questions. The greatest integer function is defined by int(x) = the greatest integer that is The greatest integer function is defined by int(x) = the greatest integer that is less than or equal to x. int(4.4) = 4 int(-5.4)= -6 int(0.6)=

What is the slope of the line with the equation: y = 4x + 12 A 4 B 1/4 C -1/4 D -4

Which statements are true regarding the area of circles and sectors? Check all that apply. The area of a circle depends on the length of the radius. The area of a sector depends on the ratio of the central angle to the entire circle. The area of a sector depends on pi. The area of the entire circle can be used to find the area of a sector. The area of a sector can be used to find the area of a circle.

Sally is at the store and has $690 worth of furniture in her cart. The store is offering a one day sale of 70% off your entire purchase. What is her total at checkout before tax?

Use algebra to find the point at which the line g(x)= -4/5x+19/60 f(x)= 8/3x+469/36 Write the values of x and y as reduced fractions or integers. x= y=

Use the price-demand equation p +0.004x = 60, 0≤p≤60. Find the elasticity of demand when p = $24. If the $24 price is decreased by 3%, what is the approximate percentage change in demand? The elasticity of demand when p = 24 is 2/3. (Type an integer or a simplified fraction.) If the price is decreased by 3%, the demand approximately %.

Find the slope of the line passing through the pair of points below. Assume that all variables represent positive real numbers. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. (a,b) and (a,b-c) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope is B. The slope is undefined. Which of the following describes the line passing through the given points? Vertical Horizontal Rises from left to right Falls from left to right

A mathematical model for world population growth over short intervals is given by P= Poe, where Po is the population at time t = 0, r is the continuous compound rate of growth, t is the time in years, and P is the population at time t. How long will it take the world population to double if it continues to grow at its current continuous compound rate of 1.05% per year?

First find f + g. f- g. f/g and. Then determine the domain for each function. f(x) = 3x-6, g(x)=x+5 (f+g)(x) = (Simplify your answer.)

Answer the following questions about the equation below. x³ - 8x+8 = 0 (a) List all rational roots that are possible according to the Rational Zero Theorem. Choose the correct answer below. A. ±1 B. ±8 C. ±1, ±2, ±4, ±8 D. 1,2,4,8 (b) Use synthetic division to test several possible rational roots in order to identify one actual root. One rational root of the given equation is (Simplify your answer.)

Consider circle O, in which arc XY measures 16π cm. The length of a radius of the circle is 32 cm. What is the circumference of the circle? π units What is the ratio of the arc length to the circumference? What is the measure of central angle XOY? 45° 90° 135°

Suppose the dimensions of your dining room are 12 feet by 14 feet. You purchase a rectangular table that is 7 feet by 9 feet. After you put the table in the dining room, how much space is left in the dining room (in square feet)?

Paul has 520 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area?

Casey Martin's ISP charged a $35 installation fee, a monthly rental fee of $2.50 for the modem, and a monthly access fee of $39.95 for an unlimited connection. Casey also purchased antivirus and firewall software for $59.99. What will be Casey's total cost to connect to the Internet for the first year?