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2 years ago

Half a number plus 5 is 11.What is the number?

Mathematics

1 answer:

user100 [1]2 years ago

3 0

12. if you take half of 12, 6, then you add 5, you get 11.

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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.

5 0

3 years ago

Write an equation that represents the following statement. Five less than the product of r and two is 3.

liraira [26]

Your equation should be 5 - r + 2 = 3.

4 0

1 year ago

Abigail and her children went into a movie theater and she bought $71.50 worth of

snow_lady [41]

Answer: The number of drinks she bought would be 6 and the number of pretzels she bought would be 10. 

6 0

3 years ago

If minor arc AB measures 9 inches, what is the length of the radius of circle C? If necessary, round your answer to the nearest

Art [367]

Complete Question

If minor arc AB measures 9 inches, what is the length of the radius of circle C? Where the radians is 0.75 radians

If necessary, round your answer to the nearest inch. 6 inches 12 inches 18 inches 24 inches

Answer:

12 inches

Step-by-step explanation:

The formula for Arc length =

Arc length = r θ

θ = 0.75

Arc length = 9 inches

Hence:

r = 9/ θ

r = 9/0.75

r = 12 inches

3 0

2 years ago

Read 2 more answers

Hanna is driving 480 miles. She has already driven 312 miles. What percent of her trip has she completed?

SVEN [57.7K]

Answer:

68%

Step-by-step explanation:

Hope this helps! :)

I would appreciate brainliest, if not that's ok!

5 0

2 years ago