The area of the composite figure can be calculate
120 pi x 5.1 1922.6547
1922.6547 divided by 7.4 =259.8182
259.8182 + 3.2 = 263.0182
y= 1/10x - 6
Which if you plug in 70 for x, y equals 1.
Rebecca has $1 and Tim has $70, together they have $71.
Answer:
-0.20
Step-by-step explanation:
Given the data:
Age at auction (x) ____price sold (y)
391
51
32
84
47
104
88
43
470
51
Y:
76.9
95.4
86.3
49.3
80
57
47.8
80
70
86.9
General formula for a simple linear regression :
y = ab + c
Where ;
y = predicted variable ; a = slope / gradient
b = predictor / independent variable ; c = intercept
From the result obtained from the calculator :
y = -0.01246X + 74.65552
Correlation Coefficient is used to measure the strength of relationship between linear variables.
The regression Coefficient obtained is - 0.20
This shows that there is a weak negative correlation between the age at auction and the price at which painting is sold. This is because the negative sign means that value of y decreases as x increases or vice versa, however, due to a correlation vale which is closer to 0 than 1 or - 1, we can conclude that the negative relationship between the variables is weak.
Can there be more than one answer? I think it could be add x, subtract 1, divide by 4 and/or subtract 1, add x, divide by 4
we have
The solution is the shaded area above the dotted line
we know that
If a point is a solution of the inequality, then the coordinates of the point must satisfy the inequality
We will verify all cases to determine the solution of the problem
<u>Case A)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
<u>Case B)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is true
therefore
the point is a solution of the inequality
<u>Case C)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
<u>Case D)</u> Point
Substitute the value of x and y in the inequality and verify
-------> is not true
therefore
the point is not a solution of the inequality
therefore
<u>the answer is the Point B</u>
To better understand the problem see the attached figure