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enyata [817]
3 years ago
8

What is the circumference of the circle 4.5m rounded to the nearest tenth

Mathematics
1 answer:
Andrew [12]3 years ago
6 0
R≈0.72m
<span>Rounded Number:
</span> 0.7
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The waking time of a student under common conditions is normally distributed with mean of 30 hours and a standard deviation of 5
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Answer:

If the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

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We are given the following information in the question:

Mean, μ = 30 hours

Standard Deviation, σ = 5 hours

We are given that the distribution of waking time is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 30}{5})=0.95  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 30}{5} = 1.645\\\\x = 38.225  

Thus, if the walking time is greater than or equal to 38.225 hours, than it exceeds 95% probability that is lie in top 5%.

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