Consider the rectangular box with square bottom as shown below. All dimensions are measured in inches. Use lower case letter w for the width of the box and lower case letter h for the height of the box.
(a) If the height of the box is nine inches greater than the width of the box, express height in terms of width.

(b) Express the volume of the box in terms of height only. No need to distribute your answer.

Step-by-step explanation:

Dimensions of the box, considering the base is a square:

(a)

The height is 9 inches greater than the width:

(b)

Express the width in terms of height:

Volume of the box:

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! )

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.