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docker41 [41]
3 years ago
5

Olga simplifies the expression x + 7x to 7x2. Use the drop-down menus to complete the statements below to explain why Olga's sol

ution is correct or incorrect.
Mathematics
2 answers:
V125BC [204]3 years ago
7 0

Answer:

Olga's solution is incorrect. x + 7x is the same as 1x+7x. 7x2 is the same as7x × x . x + 7x simplifies to 8x.

Step-by-step explanation:

Tcecarenko [31]3 years ago
3 0

Answer: Olga's solution is incorrect

x + 7x is the same as 1x + 7x

7x2 is the same as 7x. x

x + 7 x simplifies to 8x


Step-by-step explanation:


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Please consider the following values for the variables X and Y. Treat each row as a pair of scores for the variables X and Y (wi
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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)}}

The formula to compute covariance is:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

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}

Consider the table attached below.

Compute the covariance as follows:

Cov(X, Y)=n\cdot \sum XY-\sum X \cdot\sum Y

                 =(5\times 165)-(30\times 25)\\=75

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

Compute the correlation coefficient as follows:

r(X, Y)=\frac{Cov(X, Y)}{\sqrt{V(X)\cdot V(Y)}}

            =\frac{75}{\sqrt{230\times 50}}

            =0.69937\\\approx0.70

Thus, the Pearson's coefficient of correlation between the is 0.700.

5 0
3 years ago
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