37 there are 15 plates in a kitchen cabinet. the diameter of each plate is either 7 inches or 12 inches. the diameter of all 15 plates combined is 140 inches. which system of equations can be used to find the number of 7-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet? a x + y = 140 12x + 7y = 15 b 7x +12y = 140 7x + 12y = 15 cx + y = 15 7x + 12y = 140 d x + y = 15 12x + 7y = 140

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.)