If ΔOPQ is dilated from point Q by a scale factor of 3, which of the following equations is true about segment R prime S prime? Triangle OPQ is shown with point R lying on side OP and point S lying on side OQ Line RS is perpendicular to side OQ. segment R prime S prime = one half segment RS segment R prime S prime = two segment RS segment R prime S prime = segment RS segment R prime S prime = three segment RS segment R prime S prime = one half segment RS segment R prime S prime = two segment RS segment R prime S prime = segment RS segment R prime S prime = three segment RS

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.)