A safety deposit box in the shape of a square based prism has a volume of 250cm^3. The cost of the material to manufacture the top of the box is $.075/cm^2 while the rest of the cost for the rest of the box is $0.55/cm^2. Determine the dimensions of the box that will minimize the cost of manufacturing the deposit box.

Two angles are complementary. the larger angle is 36 more than the smaller angle. what is the measure of the larger angle?

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People end up tossing 12% of what they buy at the grocery store. assume this is the true population proportion and that you plan to take a sample survey of 540 grocery shoppers to further investigate their behavior. a. calculate the mean and the standard error for the sample proportion p. b. describe the sampling distribution of p in part a. draw a graph of this probability distribution with its mean and standard deviation. what is the probability that your survey will provide a sample proportion more than 15%? c. d. population proportion? what is the probability that your survey will provide a sample proportion within + 0.03 of the