Answer:
Any number above 85.6
Step-by-step explanation:
To calculate the mean you add all of the scores together then divide by how many scores you added
So in this case you would add 84 + 72 + 90 + 87 + 95 = 428
Then you would Divide 428 by five because you are adding 5 numbers
428/5 = 85.6
It says the score increased so as long as then score is greater than 85.6 it is an option.
1/3, bc you have 33.333% for each marble that it would be chosen.
Answer:
Step-by-step explanation:
3a-8a>-20
-5a>-20
a>-20/-5
a>4
Step 1: Write out the function given
![f(x)=3x^2-x](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E2-x)
Step 2: Interprete the question given
![\sum ^5_{k\mathop=1}f(\frac{k}{2})](https://tex.z-dn.net/?f=%5Csum%20%5E5_%7Bk%5Cmathop%3D1%7Df%28%5Cfrac%7Bk%7D%7B2%7D%29)
The question requested we find the summation of the first five terms for f(k/2), when k is 1, 2, 3, 4, and 5
Step 3: Find the expression for f(k/2)
![\begin{gathered} f(\frac{k}{2})=3(\frac{k}{2})^2-\frac{k}{2} \\ =\frac{3k^2}{4}-\frac{k}{2} \\ =\frac{3k^2-2k}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%28%5Cfrac%7Bk%7D%7B2%7D%29%3D3%28%5Cfrac%7Bk%7D%7B2%7D%29%5E2-%5Cfrac%7Bk%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B3k%5E2%7D%7B4%7D-%5Cfrac%7Bk%7D%7B2%7D%20%5C%5C%20%3D%5Cfrac%7B3k%5E2-2k%7D%7B4%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} =\frac{3(1)^2-2(1)}{4}+\frac{3(2)^2-2(2)}{4}+\frac{3(3)^2-2(3)}{4}+\frac{3(4)^2-2(4)}{4}+\frac{3(5)^2-2(5)}{4} \\ =\frac{1+8+21+40+65}{4} \\ =\frac{135}{4} \\ =33.75 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%3D%5Cfrac%7B3%281%29%5E2-2%281%29%7D%7B4%7D%2B%5Cfrac%7B3%282%29%5E2-2%282%29%7D%7B4%7D%2B%5Cfrac%7B3%283%29%5E2-2%283%29%7D%7B4%7D%2B%5Cfrac%7B3%284%29%5E2-2%284%29%7D%7B4%7D%2B%5Cfrac%7B3%285%29%5E2-2%285%29%7D%7B4%7D%20%5C%5C%20%3D%5Cfrac%7B1%2B8%2B21%2B40%2B65%7D%7B4%7D%20%5C%5C%20%3D%5Cfrac%7B135%7D%7B4%7D%20%5C%5C%20%3D33.75%20%5Cend%7Bgathered%7D)
Hence, the answer is 33.75
Answer:
5/8 is smaller.
Step-by-step explanation:
A ratio is just a different type of fraction, a 5:8 ratio means 5/8 which is 0.625. A 7:9 ratio equals 7/9 which is 0.777777
Then to compare them you see which is smaller or bigger.
0.77777 is bigger than 0.625 so we know that 0.77777777 which was the 7:9 ratio is the bigger one.