The irregular figure on the left has been decomposed into the figures on the right.

A figure is broken into a parallelogram and rectangle. The rectangle has a base of 7 centimeters and a height of 4 centimeters. The parallelogram has a base of 7 centimeters and a height of 5 centimeters.
What is the value of w, the width of the parallelogram?
4 centimeters
5 centimeters
7 centimeters
9 centimeters

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.)

If the average of x, y and z is 15 what is their sum

Assume the availability of a function is_prime. assume a variable n has been associated with positive integer. write the statements needed to compute the sum of the first n prime numbers. the sum should be associated with the variable total. note: is_prime takes an integer as a parameter and returns true if and only if that integer is prime.\