15 points! Find the measure of

Mathematics

2 answers:

IrinaVladis [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Since the circle equals to 142 degrees you have to subtract the already given umber (48) by the total amount and it'll give you the missing angle which is 94.

AnnyKZ [126]3 years ago

8 0

Answer:

Step-by-step explanation:

The formula for a problem like this one is (large arc - small arc)/2 = the intersection angle

large arc = 142

Small arc = 48

Intersection angle (ABC) = ?

<ABC = (142 - 48) / 2

<ABC = (94)/2

<ABC = 47

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A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30 What score is necessary to reach

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Answer:

A score of 150.25 is necessary to reach the 75th percentile.

Step-by-step explanation:

Problems of normal distributions can be 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.

A set of test scores is normally distributed with a mean of 130 and a standard deviation of 30.

This means that $\mu = 130, \sigma = 30$