About 10.83 oz per jar
1.divide 65 by 6
2.get answer
For this case we have the following function:
![h (x) = (x) (x - 13)](https://tex.z-dn.net/?f=%20h%20%28x%29%20%3D%20%28x%29%20%28x%20-%2013%29%20%20)
To answer the question, we must calculate the value of h (x) when x equals 3.
We then have to substitute values:
![h (3) = (3) (3 - 13)](https://tex.z-dn.net/?f=%20h%20%283%29%20%3D%20%283%29%20%283%20-%2013%29%20%20)
Rewriting the equation we have:
![h (3) = (3) (- 10)\\h (3) = -30](https://tex.z-dn.net/?f=%20h%20%283%29%20%3D%20%283%29%20%28-%2010%29%5C%5Ch%20%283%29%20%3D%20-30%20%20)
Answer:
The height of the hill in the painting 3 inches from the left side of the picture is:
![h (3) = -30](https://tex.z-dn.net/?f=%20h%20%283%29%20%3D%20-30%20%20)
Note: The value of the function is negative. It is recommended to review the function again. The result must be positive.
Answer: 123/8.50
Step-by-step explanation:
Answer:
37044 different combinations of 4 movies can he rent if he wants at least one comedy
Step-by-step explanation:
The order in which the movies are selected is not important, so we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
How many different combinations of 4 movies can he rent if he wants at least one comedy
The easier way to solve this is subtract the total from the number of combinations with no comedies.
Total:
4 movies from a set of 14 + 19 = 33. So
![C_{33,4} = \frac{33!}{4!(33-4)!} = 40920](https://tex.z-dn.net/?f=C_%7B33%2C4%7D%20%3D%20%5Cfrac%7B33%21%7D%7B4%21%2833-4%29%21%7D%20%3D%2040920)
No comedies:
4 movies from a set of 19.
![C_{19,4} = \frac{19!}{4!(19-4)!} = 3876](https://tex.z-dn.net/?f=C_%7B19%2C4%7D%20%3D%20%5Cfrac%7B19%21%7D%7B4%21%2819-4%29%21%7D%20%3D%203876)
At least one comedy:
40920 - 3876 = 37044
37044 different combinations of 4 movies can he rent if he wants at least one comedy
Answer:
4
Step-by-step explanation: