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STALIN [3.7K]
3 years ago
8

Need help on this asapppppp

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0
It’s 81°

Do the Pythagoras theorem first:

1.6^2+10^2= 102.56

Then square root 102.56

=10.2 (rounded)

Then the hypotenuse is 10.2

Then apply the Sine rule:

Sin A/ a = Sin B/ b = Sin C/ c

Substitute the values into the formula:

Sin 90/ 10.2 = sin x/ 10

Obviously we need to get sin x alone so we need to move the 10 into the fraction of Sin 90/10.2.

Shown here:

10Sin(90)/ 10.12

This equals sin x = 0.988

Then we need to get x alone:

Therefore we make Sin into a minus:

Sin^-

Which leads us to:

x°= sin ^- (0.988)

To 81.11

Found that and x° is

x= 81°

I hope this was helpful and I couldnt take a picture because it wouldn’t fit, oops .


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In 1982 Abby’s mother scored at the 93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the
oksian1 [2.3K]

Answer:

The percentle for Abby's score was the 89.62nd percentile.

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(which is the square root of the variance) \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.

Abby's mom score:

93rd percentile in the math SAT exam. In 1982 the mean score was 503 and the variance of the scores was 9604.

93rd percentile. X when Z has a pvalue of 0.93. So X when Z = 1.476.

\mu = 503, \sigma = \sqrt{9604} = 98

So

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

1.476 = \frac{X - 503}{98}

X - 503 = 1.476*98

X = 648

Abby's score

She scored 648.

\mu = 521 \sigma = \sqrt{10201} = 101

So

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

Z = \frac{648 - 521}{101}

Z = 1.26

Z = 1.26 has a pvalue of 0.8962.

The percentle for Abby's score was the 89.62nd percentile.

3 0
3 years ago
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