Using trig how do you answer this
2 answers:
Answer:
62.73° or 1.09 radians
Step-by-step explanation:
SOH CAH TOA
sin = , so sin (?) =
this means that ? = or ? = arcsin(
), depending on what calculator you have
plugging in or arcsin(
) 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
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Answer:
And we can find this probability using the normal standard table or excel and we got:
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:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
So then we can conclude that the value of 85 is approximately the 16 percentile for this case.