
Recall that the PDF is given by the derivative of the CDF:

The mean is given by
![\mathbb E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\int_0^2\left(x-\dfrac{x^2}2\right)\,\mathrm dx=\frac23](https://tex.z-dn.net/?f=%5Cmathbb%20E%5BX%5D%3D%5Cdisplaystyle%5Cint_%7B-%5Cinfty%7D%5E%5Cinfty%20x%5C%2Cf_X%28x%29%5C%2C%5Cmathrm%20dx%3D%5Cint_0%5E2%5Cleft%28x-%5Cdfrac%7Bx%5E2%7D2%5Cright%29%5C%2C%5Cmathrm%20dx%3D%5Cfrac23)
The median is the number

such that

. We have

but both roots can't be medians. As a matter of fact, the median must satisfy

, so we take the solution with the negative root. So

is the median.
YOU FIND THE SLOPE BY PUTING THE NUMBER IN FOR THIS FORMULA Y2 - Y1/ X2 - X1 THIS WOULD BE -7 -3/ 4 +1 THIS WILL GIVE YOU -10/5 WHICH WHEN YOU SIMPLIFY WILL GIVE YOU THE ANSWER OF -2
She played 18 games, so subtract 18 from 40 to get your answer
She did NOT play 22 games
Hope I helped!
<span><span>
Step 1: Distribute each term of the first polynomial to every term of the
second polynomial. In this case, we need to distribute the 4x and the
–5.
</span>
<span>
<span>Step 2: Combine like terms.</span></span></span>