The volume of a pyramid varies jointly with its height and the area of its base. A pyramid with a height of 16 feet and a base area of 78 square feet has a volume of 416 cubic feet. If a pyramid has a base area of 102 square feet and a volume of 238 cubic feet, find its height.

⦁plzzz me asap worth 30 points. part b: find the area of just the wood portion of the frame. this is called a composite figure. explain and show your work.

Amanufacturing firm has been averaging 16.8 orders per week for several years. however, during a recession, orders appeared to slow. suppose the firm’s production manager randomly samples 31 weeks and finds an average of 15.6 orders with a standard deviation of 2.3 orders. using a 0.025 significance level, test whether the mean number of orders has decreased. type the full 5 step procedure into the answer box, then for multiple choice practice, answer the following: 1. what is the name and symbol of the parameter that you are testing? 2. what is the symbol and value of the point estimate of that parameter? 3. what distribution are you using to test this parameter? 4. what is the critical value? 5. what is the test statistic value? 6. what is the p-value?

What is the domain of a function? a.) the set of all points on the function b.) the set of all first elements of the function c.) the set of all second elements of the function