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kobusy [5.1K]
3 years ago
6

the radius of a cycle wheel is 35 cm. Find the number of turns required to cover a distance of 1540 m

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

Just do 1540 divided by 35

Step-by-step explanation:

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Sociology graduates, upon entering the workforce are normally distributed and earn a mean salary of $30,000 with a standard devi
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Answer:

0.62% probability that randomly chosen salary exceeds $40,000

Step-by-step explanation:

Problems of normally distributed distributions 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 question:

\mu = 30000, \sigma = 4000

What is the probability that randomly chosen salary exceeds $40,000

This is 1 subtracted by the pvalue of Z when X = 40000. So

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

Z = \frac{40000 - 30000}{4000}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938 = 0.0062

0.62% probability that randomly chosen salary exceeds $40,000

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