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WINSTONCH [101]
3 years ago
15

NEED ANSWERED ASAP!!!!!!!

Mathematics
1 answer:
Igoryamba3 years ago
5 0

Answer:

5.25 is the lenght of the arc AB.

Step-by-step explanation:

First, since we are told the answer should be expressed in radians, we need to convert the arc angle into radians, we do that by multiplying the angle by π and dividing by 180.

60° * π/180 = 1.05rad

Now, there is a simple formula to calculate the arc lenght, A = Ф*r, where:

A = arc lenght

Ф = arc angle (60°=1.05rad)

r = radius (5cm)

A = 1.05*5cm

A = 5.25cm

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A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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 = 65, \sigma = 8.2

What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

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3 years ago
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What is the value of x?<br> Enter your answer in the box.<br> X=?
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Answer:

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Step-by-step explanation:

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