3. Angelica uses the point (4, 3) to represent the location of her house and uses the point (10, 8) to represent
the location of a gas station. Each unit on the graph represents 1 mi. She wants to drive to the gas station
using a straight line. How far is the gas station from Angelica’s house? Show your work.

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)