Solve:

x=9

Step-by-step explanation:

To simplify the expression, using only exponents:

7^((x/2)-x^(1/2)) = 7^(3/2)

x/2-x^1/2=3/2

x-2x^1/2-3=0

(x^1/2-3)(x^1/2+1)=0

x^1/2=3 as x^1/2=-1 does not have a real solution

x=9

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! )