Lindsay wants to mail a candle that is 8 inches tall to her friend for her birthday. She is at the store looking for a box to ship the candle in. Lindsay needs to know if the candle will fit
diagonally in the box shown. How can she use the Pythagorean theorem to help her answer this
question? Show your work in the space below.
Is the box big enough to fill the candle?

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.)