Math Questions

In a random sample of 53 items produced by a machine, the quality control staff found 5 of them to be defective. Calculate the point estimate of the population proportion of defective items. Round to 4 decimal places.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. What is the minimum amount of hours she will need to babysit in order for her to buy her calculator?

If a first experiment can be performed in 5 distinct ways and a second experiment can be performed in 8 distinct ways, the two experiments together can be performed in how many distinct ways? Enter your result in the space provided using number keys only.

Compute the discriminant of 8x² = -7-x. The discriminant is: How many real solutions does the equation, 8x² = -7-x, have? 2 non-real solution One real solution Two real solutions None of the above

Current Attempt in Progress Evaluate e ln11 - In e7 without a calculator, or say if the expression is undefined. If the expression is undefined enter NA, otherwise enter the exact answer.

Freight Train Cars In a train yard there are 7 tank cars, 12 boxcars, and 12 flatcars. How many ways can a train be made up consisting of 4 tank cars, 5 boxcars, and 5 flatcars? (In this case, order is not important.) Total number of ways =

You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately o = 26.3 dollars. You would like to be 95% confident that your estimate is within 4 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?

A recent study of 400 patients found that of 95 alcoholic patients, 79 had elevated cholesterol levels, and of 305 nonalcoholic patients, 70 had elevated cholesterol levels. If a patient is selected at random, find the probability that the patient is the following. Round your answers to three decimal places. P (nonalcoholic) = P (nonalcoholic with nonelevated cholesterol level) = P (alcoholic with elevated cholesterol) =

During a recent year, there were 11.2 million automobile accidents, 5.7 million truck accidents, and 172,000 motorcycle accidents. Find the following probabilities. (a) If one accident is selected at random, find the probability that it is either a truck or motorcycle accident. P (truck or motorcycle accident)= (b) If one accident is selected at random, find the probability that it is not a truck accident. P (not truck accident)=

Solve the quadratic equation by completing the square: t² + 8t - 27 = 41 Give the equation after completing the square, but before taking the square root. Your answer should look like: (t - a)² = b The equation is: List all solutions to the equation in simplest radical form, separated by commas. The solutions are: t =

A single fair die is tossed. Find the odds in favor of rolling a number greater than 1. What are the odds in favor of rolling a number greater than 1? to (Simplify your answer.)

Algebraically solve the following system of equations. There are two variables that can be readily eliminated, but your answers will be the same no matter which you eliminate first. 2x+5y-z = -35 x-3y + 4z = 31 -3x+2y+2z = -23

A gumball machine has 40 red, 30 white and 10 yellow gumballs in it, and you purchase one gumball at random. What are the odds against getting a yellow gumball?

Socialist feminism argues that dismantling the capitalist heirarchical system is sufficient to eradicate gender inequalities True False

Find the indicated probability. If you pick a card at random from a well shuffled deck, what is the probability that you get a face card or a spade? 1/13 1/2 15/26 11/26

According to a disease control center, 40% of people in a certain country have high blood pressure. If a person in this country is selected at random, determine the odds in favor of this person having high blood pressure. 5:3 5:2 2:5 2:3 3:2 3:5

Compute the upper Riemann sum for the given function f(x) = 5-x² over the interval x = [0, 1] with respect to the partition P = [ 0,1/4,3/4,1]

Assume that random guesses are made for 8 multiple choice questions on a test with 5 choices for each question, so that there are n-8 trials, each with probability of success (correct) given by p=0.20. Find the probability of no correct answers. The probability of no correct answers is (Round to three decimal places as needed)

Factor completely. 2x² - 12x - 144 prime (not factorable) (2x − 12) (x + 12) 2 (x - 72) (x + 1) 2 (x - 12) (x + 6)

Write the algebraic expressions described by the following English phrases. Use the variable name "x" to describe the unknown. 1. a number less than six 2. a number less six

Of the last 75 people who went to the cash register at a department store, 19 had blond hair, 21 had black hair, 30 had brown hair, and 5 had red hair. Determine the empirical probability that the next person to come to the cash register has red hair. 2/5 14/15 21/25 1/15 3/5 19/25

While shopping, Edna noticed that three different pancake mixes indicated that they were the best value for the price. She also noticed that all three packages cost the same amount. She wanted to know how they could all be the best value if they all cost the same. So, she decided to do a comparison of the mixes. Package A claims it makes 10 pancakes with a diameter of 6 inches. Package B claims it makes 25 pancakes with a radius of 2 inches. Package C claims it makes 50 pancakes with a circumference of 6.28 inches. Based on the total pancake area, order the packages from most valuable to least valuable. Assume all three types of pancakes have the same thickness. Use 3.14 for π.

Triangle ABC is congruent to triangle XYZ. In ΔABC, AB 12 cm and AC 14 cm. In ΔXYZ, YZ 10 cm and XZ = 14cm. What is the perimeter of ΔABC? 36 cm 38 cm 40 cm 50 cm

A certificate of deposit is worth P(1 + r)^2 dollars after years, where r is the annual interest rate expressed as a decimal, and P is the amount initially deposited. Which investment will be worth more? Investment A, in which P = $7200, r= 4%, and t = 5 years or investment B, in which P = $6100, r = 6%, and t = 7 years. Round your answers to two decimal places. The value of the certificate for investment A will be ,and the value for investment B will be

Use the quadratic formula to solve the equation. Be sure to simplify your answers. Enter both answers separated by a comma. x² - 8x + 10 = 0 For example, if x = -5± √15 / 4 you enter (-5-sqrt(15))/4 on the left and (-5+sqrt(15))/4 on the right. Note the important placement of parentheses! Use the PREVIEW button! X =

Hattle has recently inherited $8100, which she wants to deposit into an IRA account. She has determined that her two best bets are an account that compounds quarterly at an annual rate of 3.9 % (Account 1) and an account that compounds daily at an annual rate of 5.1% (Account 2). Step 2 of 2: How much would Hattie's balance be from Account 2 over 3.4 years? Round to two decimal places.

The longer leg of a right triangle is 2 cm more than the shorter leg. The length of the hypotenuse is 4 cm more than the shorter leg. Find the length of the hypotenuse. Show your work and be sure to assign a variable. The length of the hypotenuse is 6 cm. The length of the hypotenuse is 8 cm. The length of the hypotenuse is 10 cm. The length of the hypotenuse is 2 cm.

11) Jeff owns a watch repair shop. He has found that the cost of operating his shop is given by C (x) = 2x² - 108x+87, where C(x) is the cost and x is the number of watches repaired. How many watches x must he repair to have the lowest cost? 12) Ella works at Wendy's. On Monday she sells 15 fries and 10 burgers totaling $65.00. On Tuesday she sells 30 fries and 5 burgers totaling $77.50. How much does each burger cost?

From the sample space S={1, 2, 3, 4,..., 15) a single number is to be selected at random. Given event A, that the selected number is even, and event C, that the selected number is a prime number, find P(CIA). P(CIA)= (Simplify your answer. Type an integer or a fraction.)

Divide. 300√3619 Select the correct choice below and fill in any answer boxes in your choice. A. The quotient is B. The quotient is C. The quotient is undefined.

Job Elimination In the past year, 15% of businesses have eliminated jobs. If 3 businesses are selected at random, find the probability that at least 1 has eliminated jobs during the last year. Round your answer to at least three decimal places. Do not round your intermediate calculations. P(at least 1 has eliminated jobs during the last year) =

A graphics designer is designing an advertising brochure for an art show. Each page of the brochure is rectangular with an area of 72 in² and a perimeter of 34 in. Find the dimensions of the brochure. The longer side is in. The shorter side is in. (Type exact answers, using radicals as needed. Simplify your answers.)

A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus F₁, which is 42 feet above the vertex of the parabola. The hyperbola's second focus F2 is 6 ft above the parabola's vertex. The vertex of the hyperbolic mirror is 3 ft below F₁. Find the equation of the hyperbola if the center is at the origin of a coordinate system and the foci are on the y-axis. Complete the equation.

A triangle has sides that measure 15 cm, 20 cm, and 25 cm. Find the exact volume of the solid of revolution formed when the triangle is revolved about the side of length 25 cm. (HINT: The altitude to the 25-cm side has length 12 cm.)

You own a home that was recently appraised for $390,000. The balance on your existing mortgage is $125,450. If your bank is willing to loan up to 70% of the appraised value, what is the potential amount (in $) of credit available on a home equity loan?

Divide. 91,900/21 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The quotient is B. The quotient is C. The quotient is undefined.

The revenue function is given by R(x) = x - p(x) dollars where x is the number of units sold and p(x) is the unit price. If p(x) = 42(4)^-s/4, find the revenue if 12 units are sold. Round to two decimal places.

Eva invests $8000 in a new savings account which earns 4.8% annual interest, compounded semi-annually. What will be the value of her investment after 7 years? Round to the nearest cent.

From the sample space S= {1, 2, 3, 4,..., 15) a single number is to be selected at random. Given event A, that the selected number is even, and event B, that the selected number is a multiple of 4, find P(A/B). P(A/B)= (Simplify your answer. Type an integer or a fraction.)

The volume, V, of a cylinder whose radius is 10 times its height is given by V = 1/10 πr³, where r is the radius. (a) Identify the coefficient and exponent of this power function. NOTE: Enter the exact answers. The exponent is The coefficient is (b) If the radius is 11 cm, what is the volume? NOTE: Enter the exact answer. (c) If the height is 0.9 cm, what is the volume? NOTE: Enter the exact answer.

f(x)=x-1. Find the inverse of f(x). A. f^-1(x) = 1-x B. f^-1(x) = x C. f^-1(x) = x + 1 D. f^-1(x) = x −1

Write true or false for the statement. {b, h, j, k} = {j, k, h, b} Choose the correct answer below. False True

The human resources director for a commercial real estate company received the following numbers of applications from people with the information given to the right. Use a Venn diagram to answer parts (a) through (d). **** (a) How many applicants were there? applicants (b) How many applicants did not have sales experience? applicants (c) How many had sales experience and a college degree, but not a real estate license? applicants (d) How many only had a real estate license? applicants 63 with sales experience 38 with a college degree 28 with a real estate license 22 with sales experience and a college degree 18 with sales experience and a real estate license 14 with a college degree and a real estate license 12 with sales experience, a college degree, and a real estate license 25 with neither sales experience, a college degree, nor a real estate license

A certain culture of bacteria initially has 10 bacteria and is observed to double every 1.5 hours. a. Find an exponential model n(t) =n0*2¹/a for the number of bacteria in the culture after t hours. b. Estimate the number of bacteria after 35 hours. c. After how many hours will the bacteria count reach 10,000?

Write the expression as a constant times a power of the variable, and state the base, exponent, and coefficient 2πα + 2πα NOTE: Enter your answers exactly. The expression is The base is The exponent is The coefficient is

Let f (x) = 5x - 2. Describe the transformations from the graph of f to the graphs of g(x) = f(x - 5) and h(x) = f(x) +2. The graph of g is a of the graph of f. The graph of h is a of the graph of f.

The population of a certain inner-city area is estimated to be declining according to the model P(t) = 221,000e^-0.021t, where t is the number of years from the present. What does this model predict the population will be in 4 years? Round to the nearest person.

A pet store has 9 puppies, including 2 poodles, 2 terriers, and 5 retrievers. If Rebecka and Aaron, in that order, each select one puppy at random without replacement, find the probability that Aaron selects a retriever, given that Rebecka selects a poodle. The probability is (Type an integer or a fraction.)

Let U = { 14, 15, 16, 17, 18, 19, 20}, A={17, 18, 19, 20). Use the roster method to write the set A'. A'= (Use a comma to separate answers as needed.)

You and a friend are playing horseshoes on a very uneven lawn. You both throw a horseshoe toward a stake in the ground. Think of the point where the stake enters the ground as the origin. Your horseshoe lands 2.3 feet east of the origin, 1.5 feet north of the origin, and 0.5 feet below the origin. Your friend's horseshoe lands 1.7 feet west of the origin, 2.5 feet north of the origin, and 0.5 feet above the origin. What is the distance between the horseshoes? √17 feet 3√ √2 feet √33 feet 6 feet