The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t + 125 , 2nd column 0 less-than-or-equal-to t less-than 2.5 2nd Row 1st column 880, 2nd column 2.5 less-than-or-equal-to t less-than-or-equal-to 3.5 3rd Row 1st column 75 t + 612.5, 2nd column 3.5 less-than t less-than-or-equal-to 6 EndLayout

If you are dealt 4 cards from a shuffled deck of 52? cards, find the probability that all 4 cards are diamondsdiamonds.

Use sigma notation to represent the following series for 9 terms.

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.)