INTERMEDIATE LEVEL 5. Find the equation of the line passing through
the point
(d) (2, -3) and perpendicular to the line y + 2x = 13.​

y = (1/2)x - 4

Step-by-step explanation:

The equation of the given line is

y = -2x + 13

The equation of the perpendicular line that we need must have a slope of 1/2 and passes through (2, -3) so the form should be

y = (1/2)x + b

To solve for b, use the point (2, -3)

-3 = (1/2)(2) + b ---> b = -4

Therefore, the equation that we need has the form

y = (1/2)x - 4

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! )

a. is correct