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 height to the nearest tenth of a centimeter? (Do not include units in your answer)  Show work on paper.

Solve for r in the following formula: Do not write “r=” in your answer.  Show all work on your paper.

Michelle collected data from a random sample of 1000 homeowners in her state asking whether or not they use gas in their homes. Based on the results, she reports that 50% of the homeowners in the nation use gas in their homes. Why is this statistic misleading?  You do not have to show work for this question.

A survey of 200 people found that 80 like using a treadmill, 45 like using a recumbent bike, and 30 like both. How many people like using a treadmill or recumbent bike, or both?  Please show on your paper how you arrived at your answer.

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 Who wins if the plurality method is used?  Show work on paper.

Suppose you find an annuity that pays 8% annual interest, compounded annually. If you invest in this annuity and contribute $10,000 annually for 20 years, how much money will be in the annuity after 20 years? Enter your answer rounded to the nearest hundred dollars and omit the dollar sign.  Show all work on paper.

Find the solutions to the following quadratic equation using the quadratic formula.  Use improper fractions if necessary.  Show all work on paper.

Find the median of the numbers in the following list. 12, 34, 56, 577,89, 99, 100,301, 102 Show work on paper.

What is the cardinal number of a set that contains all of the letters in the word ENGLISH?  You do not have to provide scratch work for this problem.

A survey of 200 people found that 80 like using a treadmill, 45 like using a recumbent bike, and 30 like both. How many people like using a treadmill or recumbent bike, or both?  Please show on your paper how you arrived at your answer.