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:
As we know that volume is three dimensional so we will multiply width, length and depth
Now as we have to find the depth of the pool so
Volume= length*width*depth
depth=Volume/(length*width)
d=2500/(40*22)
d= 2500/880
depth=2.841ft
the answer would be ...
f(x) = -5/2x + 4
We know this because the constant in this equation, 4, is the y-intercept!
This means that the number without the variable is <u>where the line intersects the y-axis. </u>
Additionally, the slope is called the "rise over run", but in this case it is negative. At the point, 4, on the y-axis,<u> we go down 5 units (the numerator of the slope) and to the right by 2 units (the denominator). </u>
We find ourselves at where the line intercepts the x-axis!
I hope my explanation isn't confusing and that it is helpful! If you have any questions or concerns, message me! :)
