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hram777 [196]
3 years ago
14

What is the exact value of tan (StartFraction 5 pi Over 8 EndFraction)

Mathematics
2 answers:
Greeley [361]3 years ago
5 0

Answer:

<h2>D.</h2>

Step-by-step explanation:

HOPE IT HELPS MUCH UNTO YOU

melisa1 [442]3 years ago
4 0

9514 1404 393

Answer:

  (d)  -√((2+√2)/(2-√2))

Step-by-step explanation:

5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

  \displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}

_____

<em>Additional comment</em>

This simplifies to -(1+√2). Your calculator can verify the choice for you.

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Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

<u>Method 1:</u>

Using regression analysis the line of best fit is: y=\alpha +\beta x+e

Here <em>α </em>= intercept, <em>β</em> = slope and <em>e</em> = error.

The formula to compute the intercept is:

\alpha =\bar y-\beta \bar x

Here<em> </em>\bar y and \bar x are mean of the <em>y</em> and <em>x</em> values respectively.

\bar y=\frac{\sum y_{i}}{n} \\\bar x=\frac{\sum x_{i}}{n}

The formula to compute the slope is:

\beta =\frac{\sum (x-\bar x)(y - \bar y)}{\sum (x=\bar x)^{2}}

And the formula to compute the error is:

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<u>Method 2:</u>

The regression line can be determined using the descriptive statistics mean, standard deviation and correlation.

The equation of the line of best fit is:

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Here <em>r</em> = correlation coefficient = r=\frac{Cov (x,y)}{\sqrt{\sigma^{2}_{x}\sigma^{2}_{y}} }

\sigma_{x} and \sigma_{y} are standard deviation of <em>x</em> and <em>y</em> respectively.

\sigma_{x}=\frac{1}{n}\sum (x-\bar x)^{2} \\\sigma_{y}=\frac{1}{n}\sum (y-\bar y)^{2}

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