For the answer to the question above, I've used my calculator to inverse your given equation because my brain can't do that.
The answer to your question is
In radians, arcsin(sin(9π) / 7) = 0.
i hope my answer helped you.
Answer:
The Pearson's coefficient of correlation between the is 0.700.
Step-by-step explanation:
The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.
The formula to compute correlation between two variables <em>X</em> and <em>Y</em> is:
![r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}](https://tex.z-dn.net/?f=r%28X%2C%20Y%29%3D%5Cfrac%7BCov%28X%2C%20Y%29%7D%7B%5Csqrt%7BV%28X%29%5Ccdot%20V%28Y%29%7D%7D)
The formula to compute covariance is:
![Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y](https://tex.z-dn.net/?f=Cov%28X%2C%20Y%29%3Dn%5Ccdot%20%5Csum%20XY-%5Csum%20X%20%5Ccdot%5Csum%20Y)
The formula to compute the variances are:
![V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}](https://tex.z-dn.net/?f=V%28X%29%3Dn%5Ccdot%5Csum%20X%5E%7B2%7D-%28%5Csum%20X%29%5E%7B2%7D%5C%5CV%28Y%29%3Dn%5Ccdot%5Csum%20Y%5E%7B2%7D-%28%5Csum%20Y%29%5E%7B2%7D)
Consider the table attached below.
Compute the covariance as follows:
![Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y](https://tex.z-dn.net/?f=Cov%28X%2C%20Y%29%3Dn%5Ccdot%20%5Csum%20XY-%5Csum%20X%20%5Ccdot%5Csum%20Y)
![=(5\times 165)-(30\times 25)\\=75](https://tex.z-dn.net/?f=%3D%285%5Ctimes%20165%29-%2830%5Ctimes%2025%29%5C%5C%3D75)
Thus, the covariance is 75.
Compute the variance of X and Y as follows:
![V(X)=n\cdot\sum X^{2}-(\sum X)^{2}\\=(5\times 226)-(30)^{2}\\=230\\\\V(Y)=n\cdot\sum Y^{2}-(\sum Y)^{2}\\=(5\times 135)-(25)^{2}\\=50](https://tex.z-dn.net/?f=V%28X%29%3Dn%5Ccdot%5Csum%20X%5E%7B2%7D-%28%5Csum%20X%29%5E%7B2%7D%5C%5C%3D%285%5Ctimes%20226%29-%2830%29%5E%7B2%7D%5C%5C%3D230%5C%5C%5C%5CV%28Y%29%3Dn%5Ccdot%5Csum%20Y%5E%7B2%7D-%28%5Csum%20Y%29%5E%7B2%7D%5C%5C%3D%285%5Ctimes%20135%29-%2825%29%5E%7B2%7D%5C%5C%3D50)
Compute the correlation coefficient as follows:
![r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}](https://tex.z-dn.net/?f=r%28X%2C%20Y%29%3D%5Cfrac%7BCov%28X%2C%20Y%29%7D%7B%5Csqrt%7BV%28X%29%5Ccdot%20V%28Y%29%7D%7D)
![=\frac{75}{\sqrt{230\times 50}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B75%7D%7B%5Csqrt%7B230%5Ctimes%2050%7D%7D)
![=0.69937\\\approx0.70](https://tex.z-dn.net/?f=%3D0.69937%5C%5C%5Capprox0.70)
Thus, the Pearson's coefficient of correlation between the is 0.700.
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
B
Step-by-step explanation:
Answer:
a =b
b=d
Step-by-step explanation:
alt angle
corresponding angle