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3 years ago

The__of an angle is the ratio of the opposite leg length to the hypotenuse length

Mathematics

2 answers:

aliina [53]3 years ago

8 0

Answer:

Sine

Step-by-step explanation:

As per the trigonometric ratios "sine" of any angle is the ratio of the side which is exactly opposite to the angle and the hypotenuse.

The formula is

$\sin\theta=\dfrac{\text{Opposite}}{\text{Hypotenuse}}\\$

The hypotenuse is the longest side in any right triangle. The side containing the angle is called the base. The side which is opposite to the angle is called the perpendicular. So basically it is " Sine" of any angle is ration of "perpendicular " to the "Hypotenuse"

tiny-mole [99]3 years ago

6 0

SOHCAHTOA

Opposite leg divided by hypotenuse is sin

Answer: sin

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Dimas [21]

Answer:

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So

$\sigma = \sqrt{0.16} = 0.4$

Then

$M = 1.96*\frac{0.4}{\sqrt{400}} = 0.0392$

The lower end of the interval is the mean subtracted by M. So it is 1.75 - 0.0392 = 1.7108m

The upper end of the interval is the mean added to M. So it is 1.75 + 0.0392 = 1.7892m

The 95% confidence interval for the average heights of the population is between 1.7108m and 1.7892m.

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2 years ago

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DochEvi [55]

Answer:

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Step-by-step explanation:

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3 years ago