. Maria built a tool that checks the rate of flow of liquid from one container to another. The tool consists of a cylindrical container attached to a cubic container. The cylinder has a diameter of 5 centimeters and a height of 6 centimeters, and the cube has a side length of 5 centimeters, as shown in the diagram below.

What is the volume of the two containers that make up Maria’s tool?
690.2 cubic centimeters
596 cubic centimeters
266.3 cubic centimeters
242.75 cubic centimeters

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

345

step-by-step explanation: