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AVprozaik [17]
3 years ago
11

The diameter of a circle is 15 m. Find the circumference \textit{to the nearest tenth}to the nearest tenth.

Mathematics
1 answer:
Sonja [21]3 years ago
5 0

Answer:

C=2πr

r=D/2=15/2=7.5m

C=2×3.14×7.5

C=47.1m

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An aptitude test has a mean score of 80 and a standard deviation of 5. The population of scores is normally distributed. What pr
konstantin123 [22]

Answer:

2.28% of tests has scores over 90.

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 problem, we have that:

\mu = 80, \sigma = 5

What proportion of tests has scores over 90?

This proportion is 1 subtracted by the pvalue of Z when X = 90. So

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

Z = \frac{90 - 80}{5}

Z = 2

Z = 2 has a pvalue of 0.9772.

So 1-0.9772 = 0.0228 = 2.28% of tests has scores over 90.

8 0
2 years ago
How to solve problems on this website
-BARSIC- [3]

Answer:

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Answer:

option-B

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we know that

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which is same as

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so,

option-B is not correct

8 0
2 years ago
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