Write a polynomial equation for the following situation. Simplify as much as possible but do not solve it. Please note that the volume of a rectangular solid is length width height. A new bakery offers decorated sheet cakes for children’s birthday parties and other special occasions. The bakery wants the volume of a small cake to be 351 in.³ The cake is in the shape of a rectangular solid. They want the length of the cake to be 4 inches longer than the width of the cake and the height of the cake to be 1/3 of the width. Pls help. Thankss

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.)