4. A drug manufacturer claims that its flu vaccine is 85% effective; in other words, each person who is vaccinated stands an 85% chance of developing immunity. Suppose that 200 people
are vaccinated. Let x be the number that develops immunity.
a. What is the distribution of x?

b. What is the mean and standard deviation for x?

c. What is the probability that between 165 and 180 of the 200 people who were vaccinated
develop immunity? (Hint: Use a normal distribution to approximate the distribution of x.)

In the proof of the triangle angle sum theorem, you must draw an auxiliary line. which construction must you use to draw this line?

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge