Answer:
g(x)=-8(3^x)
Step-by-step explanation:
Given: f(x)=3^x
Multiply by 8: f(x)=8(3^x)
Negate function: g(x)=-8(3^x)
Answer:
B. 1,1,2,3,5,8,13,21
Step-by-step explanation:
I calculated it logically
The Solution:
Given:
Required:
Find the standard deviation of the probability distribution.
Step 1:
Find the expected value of the probability distribution.
![E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)](https://tex.z-dn.net/?f=E%28x%29%3D%5Cmu%3D%5Csum_%7Bi%5Cmathop%7B%3D%7D0%7D%5E3x_iP_%28x_i%29)
![\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\ \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cmu%3D%280%5Ctimes0.25%29%2B%281%5Ctimes0.05%29%2B%282%5Ctimes0.15%29%2B%283%5Ctimes0.55%29%20%5C%5C%20%20%5C%5C%20%5Cmu%3D0%2B0.05%2B0.30%2B1.65%3D2.0%20%5Cend%7Bgathered%7D)
Step 2:
Find the standard deviation.
![Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}](https://tex.z-dn.net/?f=Standard%5Ctext%7B%20Deviation%7D%3D%5Csqrt%7B%5Csum_%7Bi%5Cmathop%7B%3D%7D0%7D%5E3%28x_i-%5Cmu%29%5E2P_%28x_i%29%7D)
![=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)](https://tex.z-dn.net/?f=%3D%280-2%29%5E2%280.25%29%2B%281-2%29%5E2%280.05%29%2B%282-2%29%5E2%280.15%29%2B%283-2%29%5E2%280.55%29)
![=4(0.25)+1(0.05)+0(0.15)+1(0.55)](https://tex.z-dn.net/?f=%3D4%280.25%29%2B1%280.05%29%2B0%280.15%29%2B1%280.55%29)
![=1+0.05+0+0.55=1.60](https://tex.z-dn.net/?f=%3D1%2B0.05%2B0%2B0.55%3D1.60)
Thus, the standard deviation is 1.60
Answer:
1.60
The correct answer is (C). The sample is a subset of the population, and the parameter is a characteristic of the population of interest.
Answer:
x-intercept: (-7,0)
y-intercept: (0,2)
Step-by-step explanation:
The x-intercept is (-7,0) because on the graph we can see that the line lies on the x-axis on the point (-7,0).
The y-intercept is (0,2) because we can see that the line pass through the y-axis on the (0,2) point.
Hope this helps you :)