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Zinaida [17]
3 years ago
5

Which of the following correlation coefficients represents the strongest

Mathematics
1 answer:
erik [133]3 years ago
8 0

Answer:

\boxed {\boxed {\sf -0.92}}

Step-by-step explanation:

A correlation coefficient is a number ranging from -1 and 1 that measures the strength and direction of a linear relationship.

  • If it is a negative number, the linear relationship is also negative. If it's positive, the relationship is positive.
  • The closer it is to -1 or 1, the stronger the relationship.

Since the question only asks for the strongest relationship and does not ask for the direction (positive/negative), we can simply choose the number closest to -1/1. Therefore, the answer is -0.92.

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Can someone help me with this questions in picture
Serga [27]
You can identify the slope which is done by calculating it between two points of the line using the formula which everyone know is y2--y1 and x2--x1

Or you can find the Y intercept which you substitute the slope and the coordinates you have of a point.

:)
5 0
3 years ago
If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?
svetoff [14.1K]

sin2\alpha  = \frac{260}{269}

<u>Step-by-step explanation:</u>

We have , Tan\alpha  = \frac{Perpendicular}{Base} = \frac{10}{13},

We know that sin\alpha  = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }

Substituting values of P & B , sin\alpha  = \frac{10}{\sqrt{10^{2} + 13^{2}} }  = \frac{10}{\sqrt{269} }

Now , sin2\alpha  = 2sin\alpha cos\alpha  = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }

⇒sin2\alpha  = \frac{10}{\sqrt{269} } ×\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }×2

⇒ sin2\alpha  = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} }  )

⇒sin2\alpha  = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} }  )

⇒sin2\alpha  = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} }  )

⇒sin2\alpha  = \frac{260}{269}

6 0
3 years ago
Apply the distributive property to factor out the greatest common factor of all three terms. {10a - 25 + 5b} =10a−25+5b =
Rom4ik [11]

Answer:

5(2a -5 + b)

Step-by-step explanation:

(10a - 25 + 5b) = 5( 2a - 5 + b)

5(b +  2a  - 5) = 5(2a - 5 + b)

8 0
3 years ago
Help pls thank you!!!!
Semmy [17]

Answer:

y = 16

Step-by-step explanation:

You would plug in the value given for x into the function given.

\frac{1}{3}(18) + 10

Type that into a calculator and this would give you the output, which would be the value for Y.

The value for Y is 16.

Hope this helps.

8 0
3 years ago
Read 2 more answers
What is the measure of RMN? ​
wariber [46]

Answer:

The Answer is: 63°

Step-by-step explanation:

The angle 117° is the key information. Across the line, the angle 117° is part of the 180° across the line. Angle RMN is equal to 180° - 117° =  63°

5 0
3 years ago
Read 2 more answers
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