Use the figure below to answer the question

Mathematics

1 answer:

Goryan [66]2 years ago

6 0

Answer:

Sin(Ф) = Opposite / Hypotenuse

We know that Opposite = 6, and

Hypotenuse = 3/4 or 0.75

So,

Sin(Ф) = 6 / 0.75

Sin(Ф) = 8

So the value of sin of Ф would be 8

Hope this helps!

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Test scores are normally distributed with a mean of 500. Convert the given score to a z-score, using the given standard deviatio

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Answer:

The percentage of students who scored below 620 is 93.32%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 500, \sigma = 80$