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11 months ago

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The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif

eng Tower and the Wuhan Center have heights of
1,476 feet and 1,437 feet, respectively. The Shanghai Tower and Marina 101 have z-scores of 1.27 and -0.84, respectively.
Part A: List these four buildings in order from shortest to tallest. (5 points)
Part B: Mathematically explain your reasoning and be sure to include all necessary calculations. (5 points)

1 answer:

omeli [17]11 months ago

7 0

The list of the buildings arranged in the order from shortest to tallest

Marina 101
The Wuhan Center
The Zifeng Tower
The Shanghai tower

The heights in feet shows that

2072 feet(is the tallest) > 1,476 feet > 1,437 feet > 1400 feet (is the least)

<h3>How to arrange the buildings from shortest to tallest</h3>

Given that the z scores are 127 for The Shanghai tower and -0.84 for Marina

z score = (X - mean) / standard deviation

X = z score * standard deviation + mean

The Shanghai tower

= 1.27 * 318.31 + 1667.25 = 2071.5037 feet

Marina 101

= -0.84 * 318.31 + 1667.25 = 1399.8696 feet

The Zifeng Tower

= 1,476 feet

The Wuhan Center

= 1,437 feet

comparing the heights

2072 feet > 1,476 feet > 1,437 feet > 1400 feet

Learn more on z scores at:

brainly.com/question/24213960

#SPJ1

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Step-by-step explanation:

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