You are enrolled in a wellness course at your college. you achieved grades of 70, 86, 81, and 83 on the first four exams. the fina exam counts the same as an exam given during the semester. a.) if x represents the grade on the final exam, write an expression that represents your course average (arithmetic mean). b.) if your average is greater than or equal to 80 and less than 90, you will earn a b in the course. using the expression from part a for your course average, write a compound inequality that must be satisfied to earn a b.

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.)