Astore sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. a customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. the customer buys 2 more pounds of walnuts than cashews. the matrix below represents this situation.

Step-by-step explanation:

Let the customer buys, x pounds of almonds, y pounds of cashews and z pounds of walnuts. Since he buys 12 pounds of mixed nuts

Then since total weight he purchases is 12, we get

x+y+z = 12...i

Next is rate of each nut multiplied by pounds and added give the total cost.

Hence we have

7x+10y+12z=118 ... ii

A customer buys 2 more pounds of walnuts than cashews.

z=y+2 or

y-z=-2 ....iii

This can be written in matrix form as

Ax =B

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! )