The coffee company American Expresso has a promotion where "if you don't get your take away coffee within 180 seconds, it's free!".American Expresso has commissioned an independent study which found that the time to prepare a take away coffee at one of their stores is approximately normally distributed with a mean time of 157 seconds and a standard deviation of 22 seconds. a)Calculate the percentage of take away coffees that are given to customers for free according to the promotion. Give your answer as a percentage to 1 decimal place.

If a hotel has 100 rooms, and each room takes 25 minutes to clean, how many housekeepers working 8-hour shifts does the hotel need at 50 percent occupancy?

In which of the following games is it clearly the case that the cooperative outcome of the game is good for the two players and bad for society? a. two oil companies own adjacent oil fields over a common pool of oil, and each company decides whether to drill one well or two wells.b. two airlines dominate air travel between city a and city b, and each airline decides whether to charge a "high" airfare or a "low" airfare on flights between those two cities.c. two superpowers decide whether to build new weapons or to disarm.d. in all of the above cases, the cooperative outcome of the game is good for the two players and bad for society

Over the past several years, joyce chen has been able to save regularly. as a result, today she has $54,188 in savings and investments. she wants to establish her own business in 5 years and feels she will need $100,000 to do so. a. if she can earn 6% on her money, how much will her $54,188 in savings/investments be worth in 5 years? will joyce have the $100,000 she needs? if not, how much more money will she need? b. given your answer to part a, how much will joyce have to save each year over the next 5 years to accumulate the additional money? assume she can earn interest at a rate of 6%. c. if joyce can afford to save only $4,000 a year then, given your answer to part a, will she have the $100,000 she needs to start her own business in 5 years?