Mali performed an experiment with a standard deck of 52 cards. She wanted to see if the face cards (Ace, King, Queen, and Jack) came up the expected number of times when she randomly selected 13 cards from the deck. A 3-column table with 4 rows. Column 1 is labeled Card with entries ace, king, queen, jack. Column 2 is labeled Theoretical (predicted frequency) with entries 1, 1, 1, 1. Column 3 is labeled Experimental (Observed frequency) with entries 0, 1, 1, 0. Mali noticed that the observed frequencies did not match the predicted frequencies. What does she need to change in her experiment to get closer to the predicted values based on the theoretical probability for all the face cards?

Empty box + box + empty box fill in the box is equal to 30 how

Factor the following expression. 27y3 – 343 a. (3y + 7)(9y2 + 2ly + 49) b. (3y – 7)(9y2 + 2ly + 49) c. (3y – 7)(932 – 217 + 49) d. (3y + 7)(92 – 2ly + 49)

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.)