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3 years ago

Solve for y. y – (–19) = 25 a. –44 b. –6 c. 6 d. 44

1 answer:

6 0

Y - (-19) = 25

First, simplify your brackets. / Your problem should look like: $y + 19 = 25$
Second, subtract 19 from both sides. / Your problem should look like: $y = 25 - 19$
Third, subtract 25 - 19 to get 6. / Your problem should look like: $y = 6$

Answer: C) y = 6

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A quadrilateral has angle measures of 120°, 37°, and 48°. What is the measure of the fourth angle?

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155 degrees because the sum of the angles in a quadrilateral is 360 degrees.
x + 120 + 37 + 48 = 360
x= 155

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How could you find an even better estimate of the square root of 2

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Answer:

First of all you need to know the $\sqrt {4}$ it's equal to 2 and

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So we know that $\sqrt {2}$ is between 1 and 1.5.

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The length of a rectangle is 6 feet and the width is 3 feet. Find the perimeter I

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3 years ago

What is the ratio for

sweet [91]

Answer:

12/13

Step-by-step explanation:

By definition, for a right triangle with an internal angle X

sin X = length of opposite side / length of hypotenuse

in this case,

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2 years ago

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The least-squares regression model y =−3.4+5.2x and correlation coefficient r=−0.66 were calculated for a set of bivariate data

Makovka662 [10]

Answer:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

Step-by-step explanation:

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

And the model obtained for this case is:

$y = -3.4 +5.2 x$

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

And in order to calculate the correlation coefficient we can use this formula:

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}$

For this case the value of r = -0.66

Now we can calculate the determination coeffcient:

$r^2 = (-0.66)^2 = 0.4356$

And then we can conclude that 43.56% of the variation in y can be explained by the explanatory variable

And then 100-43.56 = 56.44 % of the variation in y that cannot be explained by the explanatory variable

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