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3 years ago

200,000+80,000,+300+7

Mathematics

1 answer:

VashaNatasha [74]3 years ago

4 0

Answer:

Answer: 280,307

Explanation:

The expression

200,000 + 80,000 + 300 + 7

may be expressed as

200 thousand, plus

80 thousand, plus

300 hundred, plus

7 ones

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

Studentka2010 [4]

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 X and Y 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.

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3 years ago

Sophia has $91,000 in a savings account that earns 7% annually. The interest is not compounded. To the nearest cent, how much wi

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Answer:

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Step-by-step explanation:

change 7% to decimal = .07

91,000 * .07 = 5370 (annual interest)

5370 / 12 = 530.83 (monthly interest)

530.83 * 9 = 4777.5 (9 months interest)

91,000 + 4777.5 = 95777.5 (initial + 9 months interest)

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Answer:

5/12

Step-by-step explanation:

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