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

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

Simplify .  Show all steps on your paper.

Bonus Question:  Show work on paper. Negate the following statement: I did not learn in Dr. Pedraza’s Math 1332 class.

Simplify .  Show all steps on your paper.

Consider the voter preference table below.   Who is the third place winner using the Borda Count Method, A, B, or C?  Show work on paper. 3 4 6 1st Choice A B C 2nd Choice B C A 3rd Choice C A B

How many subsets does set C have if C = {Sleepy, Sneezy, Dopey, Grumpy, Doc}?  Please show work on paper for full credit.

If p represents the statement “It is raining outside,” then which of the following statements is represented by ∼p? Choose each correct answer. You do not have to show work on your paper for this question.

Find the median of the numbers in the following list. 16,3,29,12,32,29,8,11,22,4 Show work on paper.

A data set is summarized in the frequency table below. Using the table, determine the number of occurrences of values less than or equal to 2.  Show work on paper. Value Frequency 0 7 1 5 2 3 3 2 4 3 5 5 6 0 7 9 8 1 9 6 10 4