72? If I’m reading that right?
4 divided by 12 is 1/3.
So, she would sprinkle 1/3 of a gram on each cupcake.
u is at (1,-2)
V is at (-6,-6)
using distance formula it is about 8.06 long
so Answer is C
Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:
![nCk=\frac{n!}{k!(n-k)!}](https://tex.z-dn.net/?f=nCk%3D%5Cfrac%7Bn%21%7D%7Bk%21%28n-k%29%21%7D)
So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:
![10C2*15C1=\frac{10!}{2!(10-8)!}*\frac{15}{1!(15-14)!}](https://tex.z-dn.net/?f=10C2%2A15C1%3D%5Cfrac%7B10%21%7D%7B2%21%2810-8%29%21%7D%2A%5Cfrac%7B15%7D%7B1%21%2815-14%29%21%7D)
![10C2*15C1=675](https://tex.z-dn.net/?f=10C2%2A15C1%3D675)
2. Choose 3 Comedies from the 10. This is calculated as:
![10C3=\frac{10!}{3!(10-3)!}=120](https://tex.z-dn.net/?f=10C3%3D%5Cfrac%7B10%21%7D%7B3%21%2810-3%29%21%7D%3D120)
Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795