To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.The z*-score for a 90% confidence level is 1.645.The margin of error is 0.20.The confidence interval is 48.3 to 48.7.48.8 is not within the confidence interval.
Answer:
The graph approaches –3 as x approaches infinity. Option a is correct.
Step-by-step explanation:
The given function is
![f(x)=\frac{3x}{4-x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3x%7D%7B4-x%7D%20)
We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.
![\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{4-x}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7Df%28x%29%3D%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7D%5Cfrac%7B3x%7D%7B4-x%7D)
Taking x common from the denominator.
![\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{x(\frac{4}{x}-1)}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7Df%28x%29%3D%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7D%5Cfrac%7B3x%7D%7Bx%28%5Cfrac%7B4%7D%7Bx%7D-1%29%7D)
Cancel out common factor x.
![\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3}{\frac{4}{x}-1}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7Df%28x%29%3D%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7D%5Cfrac%7B3%7D%7B%5Cfrac%7B4%7D%7Bx%7D-1%7D)
Apply limits.
![\lim_{x\rightarrow \infty}f(x)=\frac{3}{\frac{4}{\infty}-1}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7Df%28x%29%3D%5Cfrac%7B3%7D%7B%5Cfrac%7B4%7D%7B%5Cinfty%7D-1%7D)
![\lim_{x\rightarrow \infty}f(x)=\frac{3}{0-1}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7Df%28x%29%3D%5Cfrac%7B3%7D%7B0-1%7D)
![\lim_{x\rightarrow \infty}f(x)=-3](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Crightarrow%20%5Cinfty%7Df%28x%29%3D-3)
Therefore the graph approaches –3 as x approaches infinity.
5/8 is 0.625 , so that would be the decimal for it
Answer:
-9
Step-by-step explanation:
2x + 7 = -11
2x = -11 - 7
2x = -18
x = -9
Answer:
Step-by-step explanation:
X=12