What is the value of x to the nearest tenth?
4.7
3.3
8.0
9.5

  4.7

Step-by-step explanation:

The segment marked x connects the midpoints of the chord and the diameter, so is the unknown leg of a right triangle with hypotenuse 16/2=8 and leg 6.5.

The Pythagorean theorem tells you ...

  x² + 6.5² = 8²

  x = √(64 -42.25) ≈ 4.664 ≈ 4.7

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! )