Answer: 
Step-by-step explanation:
If you took the nth root of x, it is the same as raising x to the power of 1/n. Therefore:
![\sqrt[7]{x^{2} } = (x^{2} )^{1/7} = (x^{\frac{2}{7}})\\\sqrt[5]{x^{3} } = (x^{3} )^{1/5} = (x^{\frac{3}{5}})](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7Bx%5E%7B2%7D%20%7D%20%20%3D%20%28x%5E%7B2%7D%20%29%5E%7B1%2F7%7D%20%3D%20%28x%5E%7B%5Cfrac%7B2%7D%7B7%7D%7D%29%5C%5C%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%20%7D%20%20%3D%20%28x%5E%7B3%7D%20%29%5E%7B1%2F5%7D%20%3D%20%28x%5E%7B%5Cfrac%7B3%7D%7B5%7D%7D%29)
And multiply:
Answer: 0.15(40) + 0.6(x – 40) = 0.25(x)
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Fifteen percent of the pigment in paint color A is black
15% = 15/100 = 0.15 (decimal form)
0.15 A
Sixty percent of the pigment in paint color B is black
0.6 B
An unknown amount of paint color B is mixed with 40 ml of paint color A,
SO:
0.15 (0.40)
0.6 (x-0.40)
x = total amount of paint in the mixture of the two colors
The result is a paint that contains 25% (0.25 in decimal form)black pigment (x)
0.15(40) + 0.6(x – 40) = 0.25(x)
Feel free to ask for more if needed or if you did not understand something.
Using PEDMAS, you would divide I/2 first, then add 2 to that and subtract I from the equation. It all varies on what "i" is, however.
<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.
