The following data came from a study of collusion in bidding within the construction industry: construction collusion bidders number of contracts 2 7 3 20 4 26 5 16 6 11 7 9 8 6 9 8 10 3 11 2 the first column represents number of bidders and the second represents number of contracts where there were that number of bidders. a) what is the relative frequency of the contracts involving at most five bidders? give your answer in decimals and round to 3 decimal places.

Apool measures 12.3 feet by 16.6 feet. if the longer wall of the pool has a diagonal of 17.8 feet, what is the volume of the pool? (round to nearest tenth)

Let f(x) = 5/x and g(x)=2x2+5x. what two numbers are not in the domain of f o g

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)