Answer:
Mean is 6
Step-by-step explanation:
Mean refers to the average of the observations.
Let X be the number of different sweaters I wore during a 5-day week.
Possible values of X = 1, 2, 3, 4
For X = 1, ![P(X=1)=\frac{1}{5}](https://tex.z-dn.net/?f=P%28X%3D1%29%3D%5Cfrac%7B1%7D%7B5%7D)
For X = 2, ![P(X=2)=\frac{2}{5}](https://tex.z-dn.net/?f=P%28X%3D2%29%3D%5Cfrac%7B2%7D%7B5%7D)
For X = 3, ![P(X=3)=\frac{3}{5}](https://tex.z-dn.net/?f=P%28X%3D3%29%3D%5Cfrac%7B3%7D%7B5%7D)
For X = 4, ![P(X=4)=\frac{4}{5}](https://tex.z-dn.net/?f=P%28X%3D4%29%3D%5Cfrac%7B4%7D%7B5%7D)
To find: Mean
Solution:
![\sum_{x=1}^{4}xP(X=x)=1P(X=1)+2P(X=2)+3P(X=3)+4P(X=4)\\=1\left ( \frac{1}{5} \right )+2\left ( \frac{2}{5} \right )+3\left ( \frac{3}{5} \right )+4\left ( \frac{4}{5} \right )\\=\frac{1}{5}+\frac{4}{5}+\frac{9}{5}+\frac{16}{5}\\=\frac{1+4+9+16}{5}\\=\frac{30}{5}\\=6](https://tex.z-dn.net/?f=%5Csum_%7Bx%3D1%7D%5E%7B4%7DxP%28X%3Dx%29%3D1P%28X%3D1%29%2B2P%28X%3D2%29%2B3P%28X%3D3%29%2B4P%28X%3D4%29%5C%5C%3D1%5Cleft%20%28%20%5Cfrac%7B1%7D%7B5%7D%20%5Cright%20%29%2B2%5Cleft%20%28%20%5Cfrac%7B2%7D%7B5%7D%20%5Cright%20%29%2B3%5Cleft%20%28%20%5Cfrac%7B3%7D%7B5%7D%20%5Cright%20%29%2B4%5Cleft%20%28%20%5Cfrac%7B4%7D%7B5%7D%20%5Cright%20%29%5C%5C%3D%5Cfrac%7B1%7D%7B5%7D%2B%5Cfrac%7B4%7D%7B5%7D%2B%5Cfrac%7B9%7D%7B5%7D%2B%5Cfrac%7B16%7D%7B5%7D%5C%5C%3D%5Cfrac%7B1%2B4%2B9%2B16%7D%7B5%7D%5C%5C%3D%5Cfrac%7B30%7D%7B5%7D%5C%5C%3D6)
Answer:
The answer to your question is (g°f)(x) = 7
Step-by-step explanation:
Data
g(x) = 3x - 2
f(x) = x + 5
(g°f)(-2)
Process
1.- Evaluate g(x) on f(x)
(g°f)(x) = 3(x + 5) - 2
-Expand
(g°f)(x) = 3x + 15 - 2
-Simplify
(g°f)(x) = 3x + 13
2.- Evaluate (g°f)(x) on -2
(g°f)(-2) = 3(-2) + 13
-Expand
(g°f)(-2) = -6 + 13
-Simplify
(g°f)(x) = 7
Answer:
t^v=w
Step-by-step explanation:
if y=b^x then x=logbY
b= base
for example:
log2(8)=3
2^3=8
There’s no photo for the triangle NET