The biopharm company has developed a stress test for college-aged students. scores on the stress test for such students are approximately normally distributed with a mean of 55 points and a standard deviation of 2 points. scores of 58 points or higher indicate a high level of stress and are of concern to doctors. a random sample of college-aged students will be selected and each will be given this stress test. answer the following questions based on the information given.
(a) what is the probability that the score for the first randomly selected student will be at least 58 points? (show your work)
(b) given that the first randomly selected student has a score of at least 58 points, what is the probability that the next randomly selected student scores below 58 points? (show your work)

Ian is in training for a national hot dog eating contest on the 4th of july. on his first day of training, he eats 4 hot dogs. each day, he plans to eat 110% of the number of hot dogs he ate the previous day. write an explicit formula that could be used to find the number of hot dogs ian will eat on any particular day.

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.

An unknown number x is at most 10. which graph best represents all the values of x? number line graph with closed circle on 10 and shading to the right. number line graph with open circle on 10 and shading to the right. number line graph with open circle on 10 and shading to the left. number line graph with closed circle on 10 and shading to the left.