Suppose that pedestrians individually (i. e., no groups) arrive to a group of doors according to a deterministic rate of 40 people per minute for the first two minutes; a deterministic rate of 60 people per minute for the next six minutes; and a deterministic rate of 20 people per minute for the following five minutes. After that, there are no arrivals. You may treat this as a D/D/1 queuing system, no matter how many doors are open. Adjust the service rate if multiple doors are used. 25 people per minute can depart per door.

Find the volume of the described solid. the solid lies between planes perpendicular to the x-axis at x = 0 and x=7. the cross sectionsperpendicular to the x-axis between these planes are squares whose bases run from the parabolay=-31x to the parabola y = 30/x. a) 441b) 147c) 864d) 882

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

How many 3-digit numbers can you write using only digits 1 and 7? (of course, digits can repeat.) how many 3-digit numbers can you write using only digits 1 and 7? (of course, digits can repeat.)