Answer: 91
Step-by-step explanation:
Given : The number of documentaries = 5
The number of comedies = 7
The number of mysteries = 4
The number of horror films =5
The total number of movies other than comedy = 14
Now, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is given by :-
![^7C_7\times^{14}C_2\\\\\dfrac{7!}{7!(7-7)!}\times\dfrac{14!}{2!(14-2)!}\\\\=(1)\times\dfrac{14\times13}{2}\\\\=91](https://tex.z-dn.net/?f=%5E7C_7%5Ctimes%5E%7B14%7DC_2%5C%5C%5C%5C%5Cdfrac%7B7%21%7D%7B7%21%287-7%29%21%7D%5Ctimes%5Cdfrac%7B14%21%7D%7B2%21%2814-2%29%21%7D%5C%5C%5C%5C%3D%281%29%5Ctimes%5Cdfrac%7B14%5Ctimes13%7D%7B2%7D%5C%5C%5C%5C%3D91)
Therefore, the number of possible combinations of 9 movies can he rent if he wants all 7 comedies is 91 .
Bonita deposited $1300 into a bank account that earned 5.75% simple interest each year.
She earned $299 in interest before closing the account.
Principle = $1300
Rate = 5.75%
Simple interest = $299
Put all the value in the formulaTime = 4 years
Therefore
4 years was the money in the account .
Answer:
3
Step-by-step explanation:
11g - 9k + 3
Let g = 9 and k =11
11 * 9 - 9*11 +3
Multiply
99 - 99 +3
Add
3
Yellow:blue is a ratio of 2:3, meaning that 2/5 of the desired mixture is yellow. From this, you need to find how much yellow is necessary for 20 ounces. Well, 2/5 of the 20 ounces will be yellow paint, while the other 3/5 will be blue. So she will need 8 ounces of yellow paint to get 20 ounces of the desired mixture. Hope this helps! :)
Answer:
39%
Step-by-step explanation: