Answer:
<u>The original number is 96.875</u>
Step-by-step explanation:
Let's find the original number using the Direct Rule of Three, this way:
Percentage Number
100 x
96 93
***********************************************
96x = 93 * 100
96x = 9,300
x = 9,300/96
x = 96.875
<u>The original number is 96.875</u>
Take 11 gallons out of 28 and put 4 more gallons in 13
Answer:
Step-by-step explanation:
First problem:
blank 2) on the left: PR = PQ + QR
blank 3) on the right: Replace PR in statement 1) with what we just completed in statement 2. Therefore:
2PQ = PR
2PQ = PQ + QR
blank 4) on the right: Subtract PQ from both sides, therefore
2PQ = PQ + QR
2PQ - PQ = PQ + QR - PQ
PQ = QR
Answer:
(2, 12)
Step-by-step explanation:
Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"
If we assume that we have
groups and on each group from
we have
individuals on each group we can define the following formulas of variation:
And we have this property
The degrees of freedom for the numerator on this case is given by
where k =3 represent the number of groups.
The degrees of freedom for the denominator on this case is given by
.
And the total degrees of freedom would be
And the correct answer would be 2 degrees of freedom for the numerator and 12 for the denominator
(2, 12)
The profit function is the difference between the cost and revenue functions
The profit function is ![P(x) = 0.65x - 15000](https://tex.z-dn.net/?f=P%28x%29%20%3D%200.65x%20-%2015000)
<h3>How to calculate the profit function</h3>
The functions are given as:
- Cost function: C(x) =0.6x + 15000
- Revenue function: R(x) =1.25x
The profit function is then calculated as:
![P(x) =R(x)-C(x)](https://tex.z-dn.net/?f=P%28x%29%20%3DR%28x%29-C%28x%29)
So, we have:
![P(x) = 1.25x - 0.6x - 15000](https://tex.z-dn.net/?f=P%28x%29%20%3D%201.25x%20-%200.6x%20-%2015000)
Evaluate the differences
![P(x) = 0.65x - 15000](https://tex.z-dn.net/?f=P%28x%29%20%3D%200.65x%20-%2015000)
Hence, the profit function is ![P(x) = 0.65x - 15000](https://tex.z-dn.net/?f=P%28x%29%20%3D%200.65x%20-%2015000)
Read more about profit functions at:
brainly.com/question/10009899