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CaHeK987 [17]
3 years ago
14

What is 142% of 469?

Mathematics
2 answers:
arsen [322]3 years ago
8 0
\begin{array}{ccc}100\%&-&469\\\\142\%&-&x\end{array}\\\\\\cross\ multiply\\\\100x=142\times469\\\\100x=66598\ \ \ \ |divide\ both\ sides\ by\ 100\\\\\boxed{x=665.98}
Brums [2.3K]3 years ago
8 0
142% means 1.42

"of" means "times"

1.42 x 469 = <em>665.98</em>
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Answer:

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Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples 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}

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In this problem, we have that:

\mu = 20.8, \sigma = 4.5

a) Find the probability that in a given year there will be less than 21 earthquakes.

This is the pvalue of Z when X = 21. So

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So there is a 51.60% probability that in a given year there will be less than 21 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

This is the pvalue of Z when X = 23 subtracted by the pvalue of Z when X = 18. So:

X = 23

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Z = \frac{23 - 20.8}{4.5}

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

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Z = -0.62 has a pvalue of 0.2676

So there is a 0.7611 - 0.2676 = 0.4935 = 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

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