Instructions: select the correct answer from each drop-down menu.

the volume of the pyramid shown in the figure is cubic centimeters. if the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by cubic centimeters

Part a) The volume of the original pyramid is

Part b) The volume of the pyramid increases by  

Step-by-step explanation:

we know that

The volume of the pyramid is equal to

where

B is the area of the base

h is the height of pyramid

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

substitute

Step 2

Find the volume of the new pyramid

-------> the area of the base is the same

------> the height increase by

substitute

Subtract the original volume from the new volume

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! )

no this is a nonlinear negative