Answer:
Step-by-step explanation:
Given
There are 120 Pianist in a competition
(a)In first round 30 pianist is selected
this can be done in ![^{120}C_{30} ways](https://tex.z-dn.net/?f=%5E%7B120%7DC_%7B30%7D%20ways)
![=\frac{120!}{(120-30)!30!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B120%21%7D%7B%28120-30%29%2130%21%7D)
![=\frac{120!}{90!30!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B120%21%7D%7B90%2130%21%7D)
(b)In the second round 5 pianist is selected out of 30
this can be doe by ![=\frac{30!}{(30-5)!5!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B30%21%7D%7B%2830-5%29%215%21%7D)
![=\frac{30!}{25!5!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B30%21%7D%7B25%215%21%7D)
![=142,506](https://tex.z-dn.net/?f=%3D142%2C506)
if Timothy uses 20 inches of yarn for knitting yard every 5 minutes, then we can divide the total time in this time so in 1 hour are 60 minutues so:
![\frac{60}{5}=12](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B5%7D%3D12)
Then he has to use:
Look at h(x) = |x-9|. The vertex of this absolute value function graph is at (9,0).
Sometimes it helps to work on a simpler problem first, which is why I've introduced h(x) = |x-9|.
The vertex of g(x)=|x-9|+3 is 0+3, or 3; we translate the entire graph of g(x)=|x-9| upward by 3 units. Thus, the vertex of g(x) is (9,3).
Answer:
4xpeople
Step-by-step explanation:
one tent accommodates 4 people
x tent will accommodate 4xpeople
<em>Not</em><em> </em><em>s</em><em>ure</em>
Answer:
C. 1,620 in^3
Step-by-step explanation:
Thank you!