A test to determine whether a certain antibodies present is 99 1.1% effective this means that the test will accurately come back negative if the antibodies not present 99.1% of the time the probability of a test coming back positive with the antibiotic is not present is 0.009 suppose the test is given to seven randomly selected people who do not have the antibodies what is the probability that the test comes back negative for all seven people And what is the probability that the test comes back positive for at least one of the seven people

Ineed i been stuck on this question since yesterday

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.)

The complement of an angle is one-sixth the measure of the supplement of the angle. what is the measure of the complement angle?