Answer:f(3)=26,f(6)=215
Step-by-step explanation:
f(x)=3^x-1
f(3)=3^3-1
f(3)=3x3x3-1
f(3)=27-1
f(3)=26
f(6)=6^3-1
f(6)=6x6x6-1
f(6)=216-1
f(6)=215
Answer:
99.7% confidence interval is ![[0.4162,0.7437]](https://tex.z-dn.net/?f=%5B0.4162%2C0.7437%5D)
Step-by-step explanation:
The formula for a confidence interval for a population proportion is 
where 
is the sample proportion, 
is the sample size, and 
is the critical score for the desired confidence level.
We are given a sample size of 
and a sample proportion of 
. Our critical score for a 99.7% confidence level would be 
Therefore, the approximate 99.7% confidence interval for the population parameter is ![CI=\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }=0.58\pm 2.9677\sqrt{\frac{0.58(1-0.58)}{80} }=[0.4162,0.7438]](https://tex.z-dn.net/?f=CI%3D%5Chat%7Bp%7D%5Cpm%20z%5E%2A%5Csqrt%7B%5Cfrac%7B%5Chat%7Bp%7D%281-%5Chat%7Bp%7D%29%7D%7Bn%7D%20%7D%3D0.58%5Cpm%202.9677%5Csqrt%7B%5Cfrac%7B0.58%281-0.58%29%7D%7B80%7D%20%7D%3D%5B0.4162%2C0.7438%5D)
So we are 99.7% confident that the true population proportion is contained within the interval
Answer:
x = -4, 1, 4
Step-by-step explanation:
The function is given as:
f(x) = (x² - x -2)/[(x² - 1)(x² -16)]
We want to find the values of x where the graph will have vertical assymptote.
Vertical asymptotes are defined as vertical lines which correspond to the values of x that will make the denominator of a rational function to be zero.
Thus, to get the values of x that we will have vertical assymptotes, we have to equate the denominator to zero.
We have;
[(x² - 1)(x² -16)] = 0
Thus,
x² - 1 = 0
Or
x² - 16 = 0
So;
x² = 1
x = √1
x = 1
Or
x² = 16
x = ±√16
x = ±4
Values of x that give vertical assymptote are;
x = -4, 1, 4
Hey There!!
Your answer will be 3.
Step-by-step explanation:
Because, 2 + 1 = 3
