Given:

To find:
The equation that can be simplified to find the inverse of given equation.
Solution:
We have,

To find the inverse first we have to interchange x and y.

Now, we to solve this equation for y to find the inverse.
So, the equation
can be simplified to find the inverse of given equation.
Therefore, the correct option is 4.
Notice that
for
implies that
elsewhere, since

where
is a random variable representing cable lengths according to the PDF
.
a. By definition of expectation, the mean is
![E[X]=\displaystyle\int_{-\infty}^\infty x\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x\,\mathrm dx=1205](https://tex.z-dn.net/?f=E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf%28x%29%5C%2C%5Cmathrm%20dx%3D0.1%5Cint_%7B1200%7D%5E%7B1210%7Dx%5C%2C%5Cmathrm%20dx%3D1205)
The variance is
![\operatorname{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](https://tex.z-dn.net/?f=%5Coperatorname%7BVar%7D%5BX%5D%3DE%5B%28X-E%5BX%5D%29%5E2%5D%3DE%5BX%5E2%5D-E%5BX%5D%5E2)
where
![E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f(x)\,\mathrm dx=0.1\int_{1200}^{1210}x^2\,\mathrm dx=\frac{4,356,100}3](https://tex.z-dn.net/?f=E%5BX%5E2%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5E2%5C%2Cf%28x%29%5C%2C%5Cmathrm%20dx%3D0.1%5Cint_%7B1200%7D%5E%7B1210%7Dx%5E2%5C%2C%5Cmathrm%20dx%3D%5Cfrac%7B4%2C356%2C100%7D3)
so that the variance is
, making the standard deviation
.
b. The proportion of cables within specs is

Please open the image to see the answer so the first one
You would pay 17.85
18.99×6%
Answer:
1. Which statement would prove there is a. 2. There are two rectangles. Rectangle WXYZ has a length of 21 to two sides of another triangle, then the Which statement will always be true of the 6. The diagram shows the side lengths of two similar triangles. entre 15 km.
Step-by-step explanation: