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C and D are two events with P(C) = 0.25,  P(D) = 0.35, and P(C|D) = 0.4.   Calculate P(D|C). Give your answer as a decimal to the tenths place.  Show all work on paper.

Given the triangle below, find  tan(θ).  Explain work on paper

A small triangular piece of metal is needed to add support to a skateboard frame. The shape of the piece is shown in the figure above. If the angle θ is known to be 45 degrees, what is the length of a to the nearest tenth of a centimeter? (Do not include units in your answer)  Show work on paper.

Consider the voter preference table below.   Who is the winner using the Borda Count Method, A, B, or C?  Show work on paper. 3 4 5 1st Choice A B C 2nd Choice B C A 3rd Choice C A B

A carpet store allows customers to choose carpet based on color, thread type, and thickness. If a customer can choose among 5 colors, 5 thread types, and 2 thicknesses, how many different types of carpet could the customer choose?  Show all work on paper.

The television you have been saving for is on sale. You have $600 saved to purchase it. The retail price of the computer is $875 but this week it is discounted 20%. There is a 8.25% sales tax added to the price of the computer. What is the final price of the computer including all discounts and sales tax?  [price] Do you have enough money saved to purchase it? [yesorno]   Show all work on paper.

A right triangle has side 16 and hypotenuse 20. Use the Pythagorean Theorem to find the length of the third side.  Show all work on paper.

Use the following preference table. 9 16 22 14 1st Choice Bob Tim Elsa Bob 2nd Choice Tim Elsa Tim Elsa 3rd Choice Elsa Bob Bob Tim Which of the following statements are true if the plurality method is used?  Show work on paper.

Suppose you find an annuity that pays 6% annual interest, compounded annually. If you invest in this annuity and contribute $10,000 annually for 10 years, how much money will be in the annuity after 10 years? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign.  Show all work on paper.

A bag of marbles contains 8 green marbles, 9 purple marbles, and 7 yellow marbles. What is the probability that a marble picked at random is yellow? Give your answer as a simplified fraction.  Show all work on paper.