Jim nasium is building a tree house for his two daughters. he cut 12 pieces of wood from a board that is 128 inches long. he cuts 5 pieces that measure 15.75 inches each, and 7 pieces evenly cut from what is left. jim calculates that due to the width of his cutting blade he will lose a total of 2 inches of wood after making all of the cuts. what is the length of each of the seven pieces?

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! )

yes

step-by-step explanation: