C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.
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:
9514 1404 393
Answer:
-4u^2/y+(5/2)y^3u^2
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
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Answer:
No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is
√2:1
If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.
Answer: Surface area = 46 units². Step-by-step explanation: The formula for determining the total surface area of a rectangular prism is expressed