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Set A contains 16 elements, set B contains 20 elements and 10 elements are common to both sets A and B. How many elements are in A ∪ B?

Symbolically, select from below the correct contrapositive of the statement:  p → q

Estimate without using a calculator. You lease a car at $512 per month for 4 years. Estimate the total cost of the lease.

Determine whether the follow statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. In a survey, 130 students were taking mathematics, 50 were taking psychology, 20 were taking both mathematics and psychology, and 30 were taking neither.  Thus, 210 students were surveyed.

Translate the following argument into two simple statements. I study for 8 hours or a I fail the class. I did not study for 8 hours. Therefore, I fail the class.

For the following argument: I ran for 20 hours this month or I lost the race. I did not run for 20 hours this month. Therefore, I lost the race. And using the following simple statements: p: I won the race. q: I ran for 20 hours this month. Translate the argument into symbols.

Using the truth table below, determine if the statement “p -> q is equivalent to ~p ∨ ~q” is true or false. p q p → q ~p v ~q T T T F T F F T F T T T F F T T

A broad head-shape noted for its lack of curvature is recognized as

A forehead that recedes from the eyebrow to the hairline and an upper lip and chin that projects equally to a vertical line characterize the facial profile

The least common geometric form of head shape from the frontal aspect is