a company is installing a two-tiered zip line on a local mountain. the first tier starts at a tree, high above sea level, featuring a vertical drop of 110 feet over the course of its 5 degree decline. at the end of the first tier, the rider harnesses into the second tier featuring a drop that propels the rider 58 feet/sec for 15 seconds. the total horizontal distance travelled is 2100 feet. calculate the total distance a rider travels on the zip lines and the angle of decline used to propel the rider on the second tier.

Little’s law firm has just one lawyer. customers arrive randomly at an average rate of 6 per 8 hour workday. service times have a mean of 50 minutes and a standard deviation of 20 minutes. how long does a customer spend at little’s law firm on average?

The number of chocolate chips in an 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. (a) what is the probability that a randomly selected bag contains between 1100 and 1500 chocolate chips, inclusive? (b) what is the probability that a randomly selected bag contains fewer than 1125 chocolate chips? (c) what proportion of bags contains more than 1225 chocolate chips? (d) what is the percentile rank of a bag that contains 1425 chocolate chips?

Boris needs to buy plastic spoons. brand a has a box 42 spoons for $2.37. brand b has a box of 72 spoons for $3.57. find the unit price for each brand. then state which brand is the better buy based on the unit price. round your answer to the nearest cent.