3. Kay’s mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at the fair for $50 and set up her work station. Each ornament that she makes costs approximately $3.50 for materials. She sells each ornament for $7. a. If x represents the number of ornaments sold at the craft fair, which of the following expressions would represent Kay’s profit? (Select all choices that apply.)

7x-50

-50+7x-3.50x

7x-50-3.50x

3.50x-50

4.50x-50

Point r divides in the ratio 1 : 5. if the coordinates of e and f are (4, 8) and (11, 4), respectively, what are the coordinates of r to two decimal places?

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.)

Benefit(s) from large economies of scale, in which the costs of goods decrease as output increases. natural monopolles perfect competition