If p(a) = 0.3, p(b) = 0.2, and p(a ∩ b) = 0.1, determine the following probabilities: a. p(a′) b. p(a ∪ b) c. p(a′ ∩ b) d. p(a ∩ b′) e. p[(a ∪ b)′] f. p(a′ ∪ b)

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

The measure of an angle is 117°. what is the measure of a supplementary angle?

A. what is the area of the base? use complete sentences to explain your reasoning. b. what is the volume of the prism? use complete sentences to explain your reasoning.