The depth of the snow at yellowstone national park in april at the lower geyser basin was normally distributed with a mean of 3.9 inches and standard deviation of 0.52 inches. what value is two standard deviations above the mean?

Step-by-step explanation:

For a standard normal distribution of mean and

the statistic

In this problem we look for the value of X that is 2 standard deviations above the mean.

If there are two standard deviations above the mean, then, in the standard normal distribution, the statistic .

Then, we clear X.

Where:

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part a: triangles gcb and epb

part b. sides cg and rp are parallel by definition of parallelogram.

angles cgb and e are congruent by being alternate interior angles of parallel lines cut by a transversal. angles gbc and ebp are congruent because they are vertical angles. by aa similarity, the triangles are similar.

part c. since the triangles are similar, the ratios of the lengths of corresponding sides are equal.

calculation of be:

gb/be = cb/bp

(400 ft)/be = 300/200

(400 ft)/be = 3/2

3be = 2 * 400 ft

3be = 800 ft

be = 800/3 ft

calculation of pe:

gc/pe = cb/bp

(350 ft)/pe = 300/200

(350 ft)/pe = 3/2

3pe = 2 * 350 ft

3pe = 700 ft

pe = 700/3 ft