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Mila [183]
3 years ago
9

Using trig how do you answer this

Mathematics
2 answers:
Aneli [31]3 years ago
3 0

Answer:

62.73° or 1.09 radians

Step-by-step explanation:

SOH CAH TOA

sin = \frac{opposite}{hypotenuse}, so sin (?) = \frac{8}{9}

this means that ? = sin^{-1}(\frac{8}{9}) or ? = arcsin(\frac{8}{9}), depending on what calculator you have

plugging in sin^{-1}(\frac{8}{9}) or arcsin(\frac{8}{9}) into calculator will get you

62.73° or 1.09 radians

use the corresponding answer depending on if the question asks for degrees or radians

Masteriza [31]3 years ago
3 0
Do inverse sin of 8/9
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On a normal distribution of IQ test scores, with a mean of 100 and a standard deviation of 15 points, a score of 85 places you a
klio [65]

Answer:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(Z

So then we can conclude that the value of 85 is approximately the 16 percentile for this case.  

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(100,15)  

Where \mu=100 and \sigma=15

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability using the normal standard table or excel and we got:

P(Z

So then we can conclude that the value of 85 is approximately the 16 percentile for this case.  

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