10. Identify the data set as having a positive, a negative, or no correlation.
a. the number of times you've been bowling and your bowling score
b. the number of baths taken and the circumference of the bar of soap
c. the number of times you've heard a song and the number of lyrics you know
d. your age and the number of friends you have
e. the time you spend playing the piano and the number of keys on the piano
14 This cattorolat bewerelationship betoon +

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.)