1. preliminaries remember the setup: we (the raf in world war ii) want to know the number of warplanes fielded by the germans. that number is n. the warplanes have serial numbers from 1 to n, so n is also equal to the largest serial number on any of the warplanes. we only see a small number of serial numbers (assumed to be a random sample with replacement from among all the serial numbers), so we have to use estimation. question 1.1 is n a population parameter or a statistic? if we compute a number using our random sample that's an estimate of n, is that a population parameter or a statistic?

The volume of a cube is 8 in to the 3rd power. how long is each side?

Simplify. −4x^2 (5x^4−3x^2+x−2) −20x^6−12x^4+8x^3−8x^2 −20x^6+12x^4−4x^3+8x^2 −20x^8+12x^4−4x^2+8x −20x^6+12x^4+4x^3−8x^2

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.)