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A card is randomly drawn from a standard $52$-card deck. An ace of hearts wins the grand prize; any other ace or heart wins a small prize. What is the probability of winning a small prize? Express your answer as a common fraction. Assume that a grand prize winner does NOT also win a small prize.
General
2 months ago
The two cones are similar. The ratio of their surface areas is 13.69/4Find the volume of the small cone is 433.54 in^3True or False??
General
2 months ago
Given the equation square root of quantity 2x plus 8 end quantity equals 6, solve for x and identify if it is an extraneous solution.
General
2 months ago
Factor this expression X^2+9x+20. Show your work please
General
2 months ago
1. Sandra and Jerry Hampton built a deck in the shape of a regular hexagon off the back of their new home. The sides of the hexagon are 14 feet long. The couple has decided to apply water sealant to the surface of the deck to protect it from the elements. The Hamptons have already spent more than they had planned on for their new deck and they have only $30 left of their budget. The couple needs to determine the total area of the deck in order to know how much sealant to buy. What is the area of the Hampton's deck?
General
2 months ago
An epidemiologist wants to estimate the proportion of residents in her city that carry the Hepatitis A virus. It is thought that the proportion is approximately 46%. How large a sample of residents should be taken to estimate the proportion who carry the Hepatitis A virus to within 8 percentage points with 95% confidence?
General
2 months ago
A group of friends decided to divide the $800 cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the $800, 800 cost equally, but each friend’s share of the cost increased by $20. How many friends were in the group originally?
General
2 months ago
Construct a 95% confidence interval for the population mean, μ. Assume the population has a normal distribution. A random sample of 16 lithium batteries has a mean life of 645 hours with a standard deviation of 31 hours
General
2 months ago
A rectangle is constructed with its base on the diameter of a semicircle with radius 23 and with its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area?
General
2 months ago
Pat bought 5 pounds of apples. How many pounds of pears could Pat have bought for the same amount of money? (1) One pound of pears costs $0.50 more than one pound of apples. (2) One pound of pears costs \small 1\frac{1}{2} times as much as one pound of apples
General
2 months ago
What is an equation of the line that is parallel to y=3x−8 and passes through (1, 8) ?Enter your equation in the box.
General
2 months ago
Solve the nonlinear system of equations
General
2 months ago
4. Use the process outlined in the lesson to approximate the number 2√3. Use the approximation √3 ≈ 1.732 050 8. b. Find a sequence of five intervals that contain 2√3 whose endpoints get successively closer to 2√3. Write your intervals in the form 2???????? < 2√3 < 2ss for rational numbers ???????? and ss.
General
2 months ago
Explain the geometric efect of z if you multiply z by ????????, where???????? = 1 + i
General
2 months ago
a. Solve the system, and graph the solution set on a number line.x - 15 = 5 or 2x + 5 = 1b. Write a different system of equations that would have the same solution set.
General
2 months ago
Rewrite each expression as a polynomial in standard form.a)(x+i)(x-i)b)(x+5i)(x-5i)
General
2 months ago
Rewrite each expression as a polynomial in standard form(x-(2+i))(x-(2-i))
General
2 months ago
Find a formula for the sum S of the solutions of the quadratic equation ax²+bx+c=0 .
General
2 months ago
For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.
General
2 months ago
For what value of k are there two distinct real solutions to the original quadratic equation (k+1)x²+4kx+2=0.
General
2 months ago
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