A typical home doorway has a height of 80 in. Given that the heights of men are normally distributed with a mean of 69.0 in and standard deviation of 2.8 in. a) Find the percentage of men who can fit through the standard doorway without bending. b) Is that percentage high enough to continue using 80 in as the standard doorway?

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.4: The Pythagorean Theorem
Problem 2E: Use theorem 5.4.2 to form a proportion in which SV is a geometric mean. Hint: SVTRVS Exercises 1-6
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A typical home doorway has a height of 80 in.
Given that the heights of men are normally
distributed with a mean of 69.0 in and standard
deviation of 2.8 in.
a) Find the percentage of men who can fit
through the standard doorway without bending.
b) Is that percentage high enough to continue
using 80 in as the standard doorway?
Transcribed Image Text:A typical home doorway has a height of 80 in. Given that the heights of men are normally distributed with a mean of 69.0 in and standard deviation of 2.8 in. a) Find the percentage of men who can fit through the standard doorway without bending. b) Is that percentage high enough to continue using 80 in as the standard doorway?
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