Answer:
![e^4+e^2](https://tex.z-dn.net/?f=e%5E4%2Be%5E2)
Step-by-step explanation:
It can be found by integral.
First let's find the intersection points.
![(x-2)e^x = 0](https://tex.z-dn.net/?f=%28x-2%29e%5Ex%20%3D%200)
Only intersection point is x = 2.
And it is asked to find the area in the interval (2, 4).
![\int\limits^4_2 (x-2)e^x \,dx=?](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_2%20%28x-2%29e%5Ex%20%5C%2Cdx%3D%3F)
We will use integration by parts.
![x-2=u\\dx=du\\e^xdx=dv\\e^x=v](https://tex.z-dn.net/?f=x-2%3Du%5C%5Cdx%3Ddu%5C%5Ce%5Exdx%3Ddv%5C%5Ce%5Ex%3Dv)
![\int\limits^4_2 (x-2)e^x \,dx=uv-\int vdu=(x-2)e^x-\int e^xdx=(x-2)e^x-e^x=\\\\=(x-3)e^x|^4_2=(4-3)e^4-(2-3)e^2=e^4+e^2](https://tex.z-dn.net/?f=%5Cint%5Climits%5E4_2%20%28x-2%29e%5Ex%20%5C%2Cdx%3Duv-%5Cint%20vdu%3D%28x-2%29e%5Ex-%5Cint%20e%5Exdx%3D%28x-2%29e%5Ex-e%5Ex%3D%5C%5C%5C%5C%3D%28x-3%29e%5Ex%7C%5E4_2%3D%284-3%29e%5E4-%282-3%29e%5E2%3De%5E4%2Be%5E2)
I think bills were 60 words because charlie was 210 so bill was 50 fewer so he is 60 and George will be twice as bills s his will be 80 words
Answer:
202.90
Step-by-step explanation:
If 187.90 is the price before the sales tax, you will multiply it by the 0.08 tax which will give you 15.032. You take 15.032 and add it to 187.90 because that is the sales tax. And after you add it and round to the nearest cent you get 202.90
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Upper P (Upper B vertical line Upper A)
means
![P(B|A)](https://tex.z-dn.net/?f=P%28B%7CA%29)
It means that probability of getting event B given that Event A is occurred.
D. The probability of event B occurring, given that event A has already occurred. is also expressed as ![P(B|A)](https://tex.z-dn.net/?f=P%28B%7CA%29)
Hence, Option 'D' is correct.