Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.

y+12 = -1/3(x-2)

Step-by-step explanation:

y = 3x

The slope is 3

Lines perpendicular have a slope that is the negative reciprocal

-1/3 is the slope of a line that is perpendicular

Point slope form is

y-y1 = m(x-x1)  where m is the slope and (x1,y1) is the point on the line

y --12 = -1/3(x-2)

y+12 = -1/3(x-2)

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! )

168

step-by-step explanation:

first off, we know that he drove 3.5 hours at a rate of 48 mph.

knowing that, we want to see how many miles he drove all-together.

in this case, we can just multiply 48 by 3.5.

48 * 3.5 = 168