Why is it important to check the 10% condition before calculating probabilities involving x –? select one:

a) to reduce the variability of the sampling distribution of x –.
b) to ensure that the distribution of x – is approximately normal.
c) to ensure that we can generalize the results to a larger population.
d) to ensure that x – will be an unbiased estimator of m.
e) to ensure that the observations in the sample are close to independent.

True or false look at the picture pls : /

Write an inequality for this description. - one fourth of the opposite of the difference of five and a number is less than twenty.

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.)