Answer:
c
Step-by-step explanation:
it means 12/60, all the others mean 60/12
Answer:
Number 3
Step-by-step explanation:
Answer:
![V_2 = 37.5](https://tex.z-dn.net/?f=V_2%20%3D%2037.5)
Step-by-step explanation:
Given
![Volume = 16](https://tex.z-dn.net/?f=Volume%20%3D%2016)
Represent the height of the smaller cylinder with h and its radius with r.
The height (H) of the larger cylinder is
![H = h + 50\% * h](https://tex.z-dn.net/?f=H%20%3D%20h%20%2B%2050%5C%25%20%2A%20h)
And the radius (R) is;
![R = r + 25\% * r](https://tex.z-dn.net/?f=R%20%3D%20r%20%2B%2025%5C%25%20%2A%20r)
Required
Determine the volume of the larger cylinder
Volume of the smaller cylinder is:
![V_1 = \pi r^2h](https://tex.z-dn.net/?f=V_1%20%3D%20%5Cpi%20r%5E2h)
Substitute 16 for V1
![16 = \pi r^2h](https://tex.z-dn.net/?f=16%20%3D%20%5Cpi%20r%5E2h)
While the volume of the larger cylinder is:
![V_2 = \pi R^2H](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cpi%20R%5E2H)
We have that:
and ![R = r + 25\% * r](https://tex.z-dn.net/?f=R%20%3D%20r%20%2B%2025%5C%25%20%2A%20r)
--------------------------------------------------------------------------------------------------------------
Simplify both expressions
![H = h + 50\% * h](https://tex.z-dn.net/?f=H%20%3D%20h%20%2B%2050%5C%25%20%2A%20h)
![H = h + 0.50*h](https://tex.z-dn.net/?f=H%20%3D%20h%20%2B%200.50%2Ah)
![H = h + 0.50h](https://tex.z-dn.net/?f=H%20%3D%20h%20%2B%200.50h)
![H = 1.50h](https://tex.z-dn.net/?f=H%20%3D%201.50h)
![R = r + 25\% * r](https://tex.z-dn.net/?f=R%20%3D%20r%20%2B%2025%5C%25%20%2A%20r)
![R = r + 0.25*r](https://tex.z-dn.net/?f=R%20%3D%20r%20%2B%200.25%2Ar)
![R = r + 0.25r](https://tex.z-dn.net/?f=R%20%3D%20r%20%2B%200.25r)
![R = 1.25r](https://tex.z-dn.net/?f=R%20%3D%201.25r)
--------------------------------------------------------------------------------------------------------------
Substitute values for R and H in ![V_2 = \pi R^2H](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cpi%20R%5E2H)
![V_2 = \pi * (1.25r)^2 * 1.50h](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cpi%20%2A%20%281.25r%29%5E2%20%2A%201.50h)
![V_2 = \pi * 1.5625r^2 * 1.50h](https://tex.z-dn.net/?f=V_2%20%3D%20%5Cpi%20%2A%201.5625r%5E2%20%2A%201.50h)
Collect Like Terms
![V_2 = 1.50 * 1.5625* \pi*r^2 * h](https://tex.z-dn.net/?f=V_2%20%3D%201.50%20%2A%201.5625%2A%20%5Cpi%2Ar%5E2%20%2A%20h)
![V_2 = 2.34375* \pi*r^2 * h](https://tex.z-dn.net/?f=V_2%20%3D%202.34375%2A%20%5Cpi%2Ar%5E2%20%2A%20h)
![V_2 = 2.34375* \pi r^2h](https://tex.z-dn.net/?f=V_2%20%3D%202.34375%2A%20%5Cpi%20r%5E2h)
Recall that: ![16 = \pi r^2h](https://tex.z-dn.net/?f=16%20%3D%20%5Cpi%20r%5E2h)
![V_2 = 2.34375* 16](https://tex.z-dn.net/?f=V_2%20%3D%202.34375%2A%2016)
![V_2 = 37.5](https://tex.z-dn.net/?f=V_2%20%3D%2037.5)
<em>Hence, the volume of the larger cylinder is 37.5</em>
Answer:
Average: 4
Standard Deviation: 0
Step-by-step explanation:
Because we don't know how each student did we are going to assume that they all got 20% of the questions right
20% of 20 is 4
Which means that we can assume each student got 4 questions correct
Because all entries are the same the standard deviation is 0
Answer:
A. 3/10
Step-by-step explanation:
So the ratio is saying 2 units to 3 units. What represents 1 unit when 1/5 is two units? We cut it in half which is 1/10.
Now we have 1 unit so we can easily find three by multiplying by three, or even just adding three together. So that's 3/10.
let me knowif you don't quite get it.