Possible outcome = 1, 1, 1, 2, 3, 4, 5, 6
(a) P(2) = 1/8
(b) P(1) = 3/8
(c) p(odd) = 5/8
Answer:
We conclude that have 96390 different schedules.
Step-by-step explanation:
We know that In choosing what music to play at a charity fund raising event, Cory needs to have an equal number of piano sonatas from Mozart, Brahms, and Schubert. If he is setting up a schedule of the 6 piano sonatas to be played, and he has 18 Mozart, 3 Brahms, and 21 Schubert piano sonatas.
We calculate how many different schedules are possible:
![C_2^{18}\cdot C_2^3\cdot C_2^{21}=\frac{18!}{2!(18-2)!}\cdot \frac{3!}{2!(3-2)!}\cdot \frac{21!}{2!(21-2)!}=96390](https://tex.z-dn.net/?f=C_2%5E%7B18%7D%5Ccdot%20C_2%5E3%5Ccdot%20C_2%5E%7B21%7D%3D%5Cfrac%7B18%21%7D%7B2%21%2818-2%29%21%7D%5Ccdot%20%5Cfrac%7B3%21%7D%7B2%21%283-2%29%21%7D%5Ccdot%20%5Cfrac%7B21%21%7D%7B2%21%2821-2%29%21%7D%3D96390)
We conclude that have 96390 different schedules.
Answer:
4.57 x ![10^{4}](https://tex.z-dn.net/?f=10%5E%7B4%7D)
Step-by-step explanation: use ma th way next time and use it to see the steps
Answer:
4.094
Step-by-step explanation:
in our thousandths spot is the 4 4.094, in our ten-thousandths spot is the 3 4.0943, so we do not add one, so our final answer is 4.094
The another way to represent the same line, for solving
will be: ![y= 5-\frac{2}{3}x](https://tex.z-dn.net/?f=y%3D%205-%5Cfrac%7B2%7D%7B3%7Dx)
<u><em>Explanation</em></u>
Given equation of the line is: ![2x+3y=15](https://tex.z-dn.net/?f=2x%2B3y%3D15)
"Solving
" means <u>we need to get</u>
<u>alone in left side.</u> So, we will eliminate all other terms except
from the left side.
First we will <u>subtract 2x </u>from both sides. So, we will get......
![2x+3y-2x=15-2x\\ \\ 3y=15-2x](https://tex.z-dn.net/?f=2x%2B3y-2x%3D15-2x%5C%5C%20%5C%5C%203y%3D15-2x)
Now, we will <u>divide both sides by 3</u> for getting
alone. So.....
![\frac{3y}{3}= \frac{15-2x}{3}\\ \\ y= 5-\frac{2}{3}x](https://tex.z-dn.net/?f=%5Cfrac%7B3y%7D%7B3%7D%3D%20%5Cfrac%7B15-2x%7D%7B3%7D%5C%5C%20%5C%5C%20y%3D%205-%5Cfrac%7B2%7D%7B3%7Dx)
Thus, the another way to represent the same line, for solving
will be: ![y= 5-\frac{2}{3}x](https://tex.z-dn.net/?f=y%3D%205-%5Cfrac%7B2%7D%7B3%7Dx)