Find the area of the figure. Explain your reasoning.

Mathematics

1 answer:

Grace [21]3 years ago

5 0

Answer:

Separate it into smaller figures.

Step-by-step explanation:

The figure can be separated into a triangle on the top, and 2 trapezoids on the middle and the bottom.

The area of the triangle is bh/2, which is (4 x 6)/2, which is 12.

The area of the trapezoid in the middle is .5(b1+b2)h, which is .5(6+4)3, which is 15.

The area of the trapezoid on the bottom is .5(6+5)2, which is 11.

Now, add them to get 12+11+15 which is 38.

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The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of

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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:

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

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:

$\mu = 20.8, \sigma = 4.5$