Answer:
(1,-12)
Step-by-step explanation:
-10+5y=-50
5y=-60
y=-12
10x-60=-50
10x=10
x=1
Answer:
30
Step-by-step explanation:
Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.
<u>Answer-</u>
Correlation coefficient for the data in the table was found to be 0.93.
<u>Solution-</u>
Taking the independent variable or input variable as, the time a patient spends at the dentist and the dependent variable or output variable as the amount of the bill.
We know that,
![r=\frac{n(\sum xy)-\sum x \sum y}{\sqrt{[n\sum x^{2} -({\sum x})^{2}]\times [n\sum y^{2} -({\sum y})^{2}]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bn%28%5Csum%20xy%29-%5Csum%20x%20%5Csum%20y%7D%7B%5Csqrt%7B%5Bn%5Csum%20x%5E%7B2%7D%20-%28%7B%5Csum%20x%7D%29%5E%7B2%7D%5D%5Ctimes%20%5Bn%5Csum%20y%5E%7B2%7D%20-%28%7B%5Csum%20y%7D%29%5E%7B2%7D%5D%7D%7D)
Calculating the values from the table, then putting it in the formula
![r=\frac{4 \times 3130.9 \ - \ 6.45 \times 1473}{\sqrt{[4\times 12.3725 \ - \ 6.45^{2}][4 \times 877475 \ - \ 1473^2]}}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B4%20%5Ctimes%203130.9%20%5C%20-%20%5C%206.45%20%5Ctimes%201473%7D%7B%5Csqrt%7B%5B4%5Ctimes%2012.3725%20%5C%20-%20%5C%206.45%5E%7B2%7D%5D%5B4%20%5Ctimes%20877475%20%5C%20-%20%5C%201473%5E2%5D%7D%7D)

∴ Correlation coefficient for the data is 0.93.
Answer:
53
Step-by-step explanation: