Answer:
c
Step-by-step explanation:
Answer:
(gof) (4) = 9
Hence, option A is true.
Step-by-step explanation:
f(x)=-x³
g(x)=|1/8x -1|
(gof) (4) = g{f(4)}
First wee need to determine f(4)
f(4)=-(4)³
= -64
so
(gof) (4) = g{f(4)} = g(-64)
= ![\left|\frac{1}{8}\left(-64\right)-1\right|](https://tex.z-dn.net/?f=%5Cleft%7C%5Cfrac%7B1%7D%7B8%7D%5Cleft%28-64%5Cright%29-1%5Cright%7C)
![=\left|-\frac{1}{8}\cdot \:64-1\right|](https://tex.z-dn.net/?f=%3D%5Cleft%7C-%5Cfrac%7B1%7D%7B8%7D%5Ccdot%20%5C%3A64-1%5Cright%7C)
![=\left|-8-1\right|](https://tex.z-dn.net/?f=%3D%5Cleft%7C-8-1%5Cright%7C)
![=\left|-9\right|](https://tex.z-dn.net/?f=%3D%5Cleft%7C-9%5Cright%7C)
![\mathrm{Apply\:absolute\:rule}:\quad \left|-a\right|=a](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aabsolute%5C%3Arule%7D%3A%5Cquad%20%5Cleft%7C-a%5Cright%7C%3Da)
Thus,
(gof) (4) = 9
Hence, option A is true.
It will most likely just rain on Monday
Answer:
![13](https://tex.z-dn.net/?f=13)
Step-by-step explanation:
As the mean is 20.2 and the standard deviation is 2.4
The range within the first standard deviation is
(17.8,22.6)
This means that we can safely use the range of (18,22) as we cannot confirm whether the other values fall within the range.
Within this range there are
![2+3+4+3+1=13](https://tex.z-dn.net/?f=2%2B3%2B4%2B3%2B1%3D13)