The regression equation of Y on X is given by the following formula:
Where byx is given by the formula:
Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.
The table of values is:
The values we need to know are on the following table:
By replacing the known values in the formula we obtain:
Now, the average of X and Y is the sum divided by N, then:
Replace these values in the formula and find the regression equation as follows:
The answer is a) y=4.6x+28.26
Answer:
C. since 8, 15, 17 are pythagorean triples
Based on the amount that Nick is left with at the end of the month, the amount he earns is $2,400
<h3>What does Nick earn?</h3>
The amount of $300 that is left is 25% of 50% of Nick's income as the other 75% of the 50% went to paying for the car and other expenses.
25% of 50% is:
= 25% x 50%
= 12.5%
The amount Nick makes per month is:
= Amount remaining / Amount remaining in percentage terms
= 300 / 12.5%
= $2,400
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Answer:
48
Step-by-step explanation:
We have that the volume of a cylinder is given by:
V = pi * (r ^ 2) * h
In this case we know the diameter, we know that the radius is half the diameter like this:
r = d / 2
r = 8/2
r = 4
Now we know that the V equals 768 pi
we replace and we have:
768 * pi = pi * (4 ^ 2) * h
768 = 16 * h
h = 768/16
h = 48
Therefore the value of x would be 48 cm
Answer:
1. A (85)(0.08)=6.90 then (85)(0.18)=15.30 then 85 + 6.90 + 15.30 =107.10
2. 82.68
Solving;
She was charged $65 before tax. She had to pay a 6% tax (65)(0.06)=3.90 then 65+3.90=68.90
After this she added 20% of the amount after tax rather 20% of 68.90
68.90(0.20)=13.78 then 68.90+13.78=82.68
