Answer: 21 quarts of blue paint
Step-by-step explanation: To make a batch of purple paint, it is necessary 2 quarts of red and 3 quarts of blue, resulting in 5 quarts of purple.
So, to make 35 quarts of purple:
5x = 35
x = 7
It is needed, in total, 7 quarts of purple.
As, the ratio is 2 quarts of red to 3 quarts of blue:
Blue: 7 x 3 = 21
For 35 quarts of purple paint, it's necessary 21 quarts of blue paint.
Answer:
3 assignments incomplete.
Step-by-step explanation:
context: 75% can be rewritten as 0.75
12 × 0.75 = 9 assignments completed.
The above equation shows the amount of assignments that have been already completed. In order to find out how many assignments she has yet to have completed, we need to subtract these amounts.
12 - 9 = 3 assignments incomplete.
Answer:
The exact answer is 913.5. And the estimate to the tens would be 910.
Answer: V(X) = 0.96
Step-by-step explanation: <u>Variance</u> is defined as the average of the squared difference from the sample or population mean.
For a discrete frequency distribution is calculated following the steps:
1) Determine expected value or mean:
E(X) = 1.2
2) Multiply frequency and the squared difference of x and expected value:
3) Add them:
![\Sigma [f(x-E(X))^{2}]](https://tex.z-dn.net/?f=%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D)
= 1008 + 36 + 384 + 972 = 2400
4) Divide the sum per frequency total:
![V(X)=\frac{\Sigma [f(x-E(X))^{2}]}{\Sigma f}](https://tex.z-dn.net/?f=V%28X%29%3D%5Cfrac%7B%5CSigma%20%5Bf%28x-E%28X%29%29%5E%7B2%7D%5D%7D%7B%5CSigma%20f%7D)
V(X) = 0.96
The variance of the number of cups of coffee is <u>0.96</u>.
