The air force reports that the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a
standard deviation of 2.7 inches.
Part A: A male pilot whose height is 74.2 inches is at what
percentile? Mathematically explain your reasoning and justify your
work. (5 points)
Part B: Air force fighter jets can accommodate heights of soldiers
between 70 inches and 78 inches without compromising safety
Anyone with a height outside that interval cannot fly the fighter
jets. Describe what this interval looks like if displayed visually
What percent of male pilots are unable to fly according to this
standard? Show your work and mathematically justify your
reasoning: (5 points)

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 product of sin 30 degrees and sin 60 degrees is same as the product of

X² + 4y² = 36 the major axis runs along: a) y=4x b) x-axis c) y-axis