Quadrilateral JKLM has side lengths of JK = 2y + 3, KL = 8x – 10, LM = 5y – 6, and JM = 3x + 20. Find the values of x and y that make quadrilateral JKLM a parallelogram. A. X = 6, y = 6 B. X = 6, y = 3 C. X = 13, y = 3 D. X = 2, y = 1

(6, 3)

Step-by-step explanation:

Note that the opposite side of parallelogram are congruent, hence;

Jk = LM

2y + 3 = 5y - 6

2y - 5y  =-6 - 3

-3y = -9

y = 9/3

y = 3

Similarly;

KL = JM

8x – 10 = 3x+20

8x - 3x =  20 + 10

5x = 30

x = 30/5

x = 6

Hence (x,y) is (6, 3)

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! )