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3 years ago

If two variables were completely correlated, their correlation coefficient would be:

1 answer:

meriva3 years ago

7 0

<span>Pearson's correlation coefficient 'r' measures the degree to which two variables are correlated. The value is between -1 and 1. Negative values correspond to negative correlation (as one variable increases, the other variable decreases) whereas positive values correspond to positive correlation. The larger the absolute value of r, the closer a correlation graph resembles a set of points on the same line. Therefore, if two variables are completely correlated, the correlation value is 1 or -1, depending on whether the correlation is positive or negative.</span>

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3x+4(x-8)-14 evaluate for x=11

djverab [1.8K]

Answer:

For X = 11, the expression is equal to 31

Step-by-step explanation:

Hello

For X = 11 you only have to replaced the value into the expression, so:

3(11) + 4(11-8) - 14

33 + 4(3) - 14

33 + 12 - 14

Best regards

4 0

3 years ago

Read 2 more answers

The scale drawing of a rectangular room will be enlarged by a scale factor of 4 to create the actual room. The actual area of th

bearhunter [10]

Answer:

The expression is equal to $\frac{150}{4^{2}}$

The area of the scale drawing is $9.375\ ft^{2}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

let

z------> the scale factor

x------> the area of the actual room

y-----> the area of the scale drawing

$z^{2}=\frac{x}{y}$

we have

$z=4$

$x=150\ ft^{2}$

substitute and solve for y

$4^{2}=\frac{150}{y}$

$y=\frac{150}{4^{2}}=9.375\ ft^{2}$

6 0

3 years ago

Nwhat is the range of data set for 8 1 7 6 14

bazaltina [42]

Answer:

14-1=13 range= 13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

4 0

3 years ago

Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU

IrinaK [193]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

$\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}$

Similarly, the breadth will be,

$\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5$

Hence, the value of x or the length of TU is 22.5.

Learn more about Rectangle:

brainly.com/question/15019502

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5 0

2 years ago

The difference of the same side angles of two parallel lines is 35°. Find all angles

Pavel [41]

<h3>Answer:</h3>

All acute angles are 72.5°; all obtuse angles are 107.5°.

<h3>Explanation:</h3>

Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...

... o + a = 180

... o - a = 35

Adding these two equations gives ...

... 2o = 215

... 215/2 = o = 107.5 . . . . degrees

Then the other angle is ...

... a = 107.5 - 35 = 72.5 . . . . degrees

_____

All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.

3 0

4 years ago