1. At 1:00 p.m. ship A is 25 km due north of ship B. If ship A is sailing west at a rate of 16 km/h and ship B is sailing south at 20 km/h, find the rate at which the distance between the two ships is changing at 1:30 p.m. (Be sure to draw a diagram.)

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Sixta KovacekLv2

1 Dec 2018

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(a) Newton’s Law of Gravitation states that two bodies with masses and attract each other with a force

where r is distance between the bodies and G is the gravitational constant. If one of the bodies is fixed, find the work done needed to move the other fromto.

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A fast food restaurant has customers arrive at the checkout counter at a rate of 25 customers per hour. The average service time at the till is 80 seconds.

a) What is the utilization?

b) What is probability that there are zero customers at the counter (either in line or being served)?

c) What is the probability that there are two or more customers at the checkout counter?

d) What is the probability that there are 1 or 2 customers at the counter?

d) What is the average number of customers waiting in line?

e) If the store wanted the average time in the system to be 5 minutes, what would the service

rate have to be?

f) What is the probability that checkout time will take between 1 and 2 minutes?

g) What is the probability that checkout time will take more than 2 minutes?