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Aleonysh [2.5K]

1 year ago

14

Determine the point (x,y) ( x , y ) on the unit circle associated with the following real number s. Write the exact answer as an

ordered pair. Do not round. s=−11π6

1 answer:

Harlamova29_29 [7]1 year ago

7 0

The required coordinates of the unit circle for s = -11π/6 is (√3/2, 1/2). Using trigonometric functions, the required answer is calculated.

<h3>What are the trigonometric functions?</h3>

There are six trigonometric functions.

They are sin θ, cos θ, tan θ, sec θ, cosec θ, and cot θ.

Where θ - 0 to 360° or 0 to 2π

<h3>Calculation:</h3>

For a unit circle, the coordinates are given in the form of trigonometric functions as below:

x = cos θ and y = sin θ

Here it is given that s = θ = -11π/6

So, on substituting,

x = cos θ = cos (-11π/6)

⇒ x = √3/2

y = sin θ = sin (-11π/6)

⇒ y = 1/2

Thus, the required coordinate pair is (√3/2, 1/2).

Learn more about trigonometric functions here:

brainly.com/question/2291993

#SPJ1

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(-6, f(-6)) is an x,y coordinate. They are asking what the y-value is when you plug in -6 for x.

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f(-4) = $\frac{2(-4)}{(-4)^{2}-25}$

= $\frac{-8}{16-25}$

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= $\frac{8}{9}$

f(4) = $\frac{2(4)}{(4)^{2}-25}$

= $\frac{8}{16-25}$

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And the standard deviation for the sampling distribution would be:

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So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

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And the standard deviation for the sampling distribution would be:

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