10. Find the slope of each line.
a. A line that is parallel to the graph of y = 1/2x+7
b. A line that is perpendicular to the graph of y = -2x – 3.

a. 1/2

b. 1/2

Step-by-step explanation:

a. Compare with y = mx + c where m is slope

b. For two lines perpendicular to each other, product of their slopes is -1

a, ½; b. ½

Step-by-step explanation:

a. Parallel lines

y = ½x + 7

Slope = ½

Any parallel line will have

slope = ½

In the figure below, the graph of your equation is the solid red line. The dashed red line is parallel to it with the same slope.

b. Perpendicular lines

y = -2x+3

Slope₁ = -2

Any perpendicular line will have  

Slope = -1/slope₁  = -1/(-2) = ½

The solid black line is the graph of your equation, and the dashed black line is perpendicular to it, as is the dashed red line.

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! )