A rectangular garden is divided into four sections. Some dimensions are shown in the diagram, and the distance

What is the distance between point G(−4, 1) and point H(−12, 1) ? would be (8)

Greeley [361]

Answer:

Yes, the distance between the points would be 8

Step-by-step explanation:

Since the y is the same, you can just find the distance between 12 and 4

12-4=8

3 0

3 years ago

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

8 0

3 years ago

Solve asap I'll mark brainliest

diamong [38]

Answer:

s = 4/21

Step-by-step explanation:

Move all terms not containing s to the right side of the equation, then solve.

5 0

3 years ago

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3(c-4)=4(c-6) i don't know how to solve it, either

STatiana [176]

Answer:

c = 12

Step-by-step explanation:

3(c - 4) = 4(c - 6)

Use the distributive property on each side.

3c - 12 = 4c - 24

Now you need the terms with c on the left side and the numbers on the right side. Subtract 4c from both sides. Add 12 to both sides.

3c - 4c - 12 + 12 = 4c - 4c - 24 + 12

Combine like terms on each side.

-c = -12

Multiply both sides by -1.

c = 12

4 0

3 years ago

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100 points! Will mark brainliest! Only answer if u know it. Random answers will be reported

Setler79 [48]

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

Firstly figure out the coordinate of your school and school. Then use formula of distance.

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

$d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$

~ Put all values.

$d = \sqrt{ {(5 - 7)}^{2} + ( {0 - 7)}^{2} }$

~ Simplify it.

$d = \sqrt{ {( - 2)}^{2} + {( - 7)}^{2} }$

$d = \sqrt{4 + 49}$

$d = \sqrt{53}$

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

Hope it helps....

8 0

3 years ago

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