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:
Let x is the interest rate
$17,500 * 2 * x = <span>$2975
</span>$35,000x = $2,975
x = $2,975/$35,000
<span>x = 0.085
0.085 * 100 = 8.5%
Answer: annual interest rate was 8.5%
</span>
<u>Answer: </u>
Sum of the roots of the polynomial 
<u>Solution:</u>
The general form of cubic polynomial is
---- (1)
If we have any cubic polynomial
having roots 
Sum of roots
=
---(2)
From question given that,
--- (3)
On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12
Hence the sum of roots using eqn 2 is given as,
=
= -2
Hence the sum of the roots of the polynomial 
Answer:
7. 10 8. 20 9. 100 thats all i know
Step-by-step explanation: