Answer:
13a² - 39a + 46
Step-by-step explanation:
To find g(a-2)+3g(2a), find each part using the function g(x)=x²-5x+8.
g(a-2) = (a-2)²-5(a-2)+8 = a² - 4a + 4-5a + 10+8 = a² - 9a + 22
3g(2a) = 3{(2a)²-5(2a)+8} = 3{ 4a² - 10a + 8} = 12a² - 30a + 24
Combine the values to find g(a-2)+3g(2a).
g(a-2)+3g(2a) = (a² - 9a + 22) + (12a² - 30a + 24) = 13a² - 39a + 46
Volume formula for a cylinder is pi*r^2*h
h=height=25 feet
r=radius=101.5
Radius is half of the diameter.
Plug those numbers in: pi*101.5^2*25= 809136.822886= 8.09*10^5 hopefully this helps! ^-^
Answer:
50
Step-by-step explanation:
Answer:
a
![P(E) = 0.278](https://tex.z-dn.net/?f=P%28E%29%20%3D%200.278%20)
b
![P(F |E) = 0.2353](https://tex.z-dn.net/?f=P%28F%20%7CE%29%20%3D%200.2353%20)
c
![P(E and F) = 0.0654](https://tex.z-dn.net/?f=%20P%28E%20and%20%20F%29%20%3D%200.0654)
Step-by-step explanation:
The number of vehicles available is ![N = 18](https://tex.z-dn.net/?f=N%20%20%3D%20%2018)
The number of vans is k = 5
The number of cars is n = 13
Generally P(E) is mathematically represented as
![P(E) = \frac{k}{N}](https://tex.z-dn.net/?f=P%28E%29%20%3D%20%20%5Cfrac%7Bk%7D%7BN%7D)
=> ![P(E) = \frac{5}{18}](https://tex.z-dn.net/?f=P%28E%29%20%3D%20%20%5Cfrac%7B5%7D%7B18%7D)
=> ![P(E) = 0.278](https://tex.z-dn.net/?f=P%28E%29%20%3D%200.278%20)
Generally P(F| E) means the probability that the second vehicle assigned is a van given that the first one selected is a van this mathematically calculated as
![P(F |E) = \frac{5 -1}{18-1}](https://tex.z-dn.net/?f=P%28F%20%7CE%29%20%3D%20%20%5Cfrac%7B5%20-1%7D%7B18-1%7D)
![P(F |E) = \frac{4}{17}](https://tex.z-dn.net/?f=P%28F%20%7CE%29%20%3D%20%20%5Cfrac%7B4%7D%7B17%7D)
![P(F |E) = 0.2353](https://tex.z-dn.net/?f=P%28F%20%7CE%29%20%3D%200.2353%20)
Generally
is also mathematically represented as
![P(F | E) = \frac{P(E and F)}{P(E)}](https://tex.z-dn.net/?f=P%28F%20%7C%20E%29%20%3D%20%5Cfrac%7BP%28E%20and%20F%29%7D%7BP%28E%29%7D)
=> ![P(E and F) =P(E) * P(F | E)](https://tex.z-dn.net/?f=%20P%28E%20and%20%20F%29%20%3DP%28E%29%20%2A%20P%28F%20%7C%20E%29)
=> ![P(E and F) = 0.278 * 0.2353](https://tex.z-dn.net/?f=%20P%28E%20and%20%20F%29%20%3D%200.278%20%20%2A%200.2353)
=>![P(E and F) = 0.0654](https://tex.z-dn.net/?f=%20P%28E%20and%20%20F%29%20%3D%200.0654)
The equation for finding volume of a cylinder is V=πr2h. That means if you do (3.14)(25)(17) you would get your answer- 1334.5