Answer:
<em>She needs </em><em>77 </em><em>on her last test to earn an 82 for the quarter.</em>
Step-by-step explanation:
Maria scored 72, 97, and 82 on her first three math tests.
She wants to have a mean score of 82 for the quarter.
Let us assume that she must score x on her last test to earn an 82 for the quarter.
So the average score will be,
![=\dfrac{72+97+82+x}{4}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B72%2B97%2B82%2Bx%7D%7B4%7D)
But the average score is given as 82, so
![\Rightarrow \dfrac{72+97+82+x}{4}=82](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7B72%2B97%2B82%2Bx%7D%7B4%7D%3D82)
![\Rightarrow 72+97+82+x=82\times 4](https://tex.z-dn.net/?f=%5CRightarrow%2072%2B97%2B82%2Bx%3D82%5Ctimes%204)
![\Rightarrow 72+97+82+x=328](https://tex.z-dn.net/?f=%5CRightarrow%2072%2B97%2B82%2Bx%3D328)
![\Rightarrow x=328-72-97-82](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D328-72-97-82)
![\Rightarrow x=77](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D77)
You would divide the x to get an Awnser
From the given condition we can conclude that the radius of the cylinders are different.
Step-by-step explanation:
Given,
The height of a right cylinder and an oblique cylinder is same.
Volume of these two cylinder is different.
Let us take,
Radius of right cylinder = r
Radius of oblique cylinder = R
Height = h
Volume of right cylinder = πr²h
Volume of oblique cylinder=πR²h
Formula
If the height and the radius of a right cylinder and an oblique cylinder is same, their volume is also same
Thai is = πr²h
Here,
As the volume is different we can conclude that
The radius is not same.