Blog

If a card is picked at random from a standard 52-card deck, what is the probability of getting a Red card or a King? Enter your answer as a simplified fraction.  Show all work on paper.

A right triangle has side 24 and hypotenuse 30. Use the Pythagorean Theorem to find the length of the third side.  Show all work on paper.

If a card is picked at random from a standard 52-card deck, what is the probability of getting a Red card or a Queen? Enter your answer as a simplified fraction.  Show all work on paper.

If p represents the statement “It is not 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.

How many subsets does set C have if C = {1, 2, 3, 4}?  Please show work on paper for full credit.  

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 green? Give your answer as a simplified fraction.  Show all work on paper.

Consider the following argument: Statement:   If you don’t study, then you will make an F.Statement:   Rodney made an F.Conclusion:  Rodney did not study. Is the above argument valid? Decide by drawing an Euler diagram on your paper.  Show work on your paper.

If Bobby takes out a mortgage for 30 years at an interest rate of 5% and his monthly repayments are $939.44, what is the loan principle (that is, the balance of the loan at drawdown)? Give your answer to the nearest ten dollars. Do not include the dollar sign in your answer.  Show all work on paper.

Two students, Stephanie and Maria, want to find out who has the higher GPA when compared to each of their schools. Maria has a GPA of 3.85, and her school has a mean GPA of 2.9 and a standard deviation of 0.3. Stephanie has a GPA of 3.6, and her school has a mean of 2.85 and a standard deviation of 0.1. Who has the higher GPA when compared to each of their schools?  Show work on paper.

A set of data is summarized by the stem and leaf plot below. Enter the data items that begin with a stem value of 2.  Include commas in your data, but do NOT include spaces. You do not have to show work for this question.