As the mean is E[X] =150 and

= 30, using the normal distribution to get the answer is just using Z. So, what we need is P(X<180).
![Z= \frac{x-E[X]}{\sigma } = \frac{180-150}{30} = \frac{30}{30} = 1](https://tex.z-dn.net/?f=Z%3D%20%20%5Cfrac%7Bx-E%5BX%5D%7D%7B%5Csigma%20%7D%20%3D%20%5Cfrac%7B180-150%7D%7B30%7D%20%3D%20%20%5Cfrac%7B30%7D%7B30%7D%20%3D%201)
P(x<180) = P(z< 1) =

(1) = 0.8413.
Then, just multiplying the amount of books you have, which is 500, with the probability would give how many books are less than 180 pages, being:
Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator
m=-2-3/4-8
-5/-4
m=5/4
Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)
3=5/4(8)+b
3=10+b
-7=b
Equation: y=5/4x-7
Yes, you are correct.
Hope my answer helped u :)
The answer is x= 9 and -3
You must fine 2 number that multiply to equal -27 and add to equal -6
(x-9) (x+3)
Then equal the parts of the binomial to zero
x - 9 = 0
x + 3 = 0
You must get x by its self.
When you do so, you'll have the answer as -3 and 9