(II) A two-component model used to determine percent body fat in a human body assumes that a fraction f (< 1) of the body's total mass m is composed of fat with a density of 0.90 g/cm?, and that the remaining mass of the body is composed of fat-free tissue with a density of 1.10 g/cm³. If the specific gravity of the entire body's density is X, show that the percent body fat (= f × 100) is given by 3 495 % Body fat 450. X

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(II) A two-component model used to determine percent body
fat in a human body assumes that a fraction f (< 1) of the
body's total mass m is composed of fat with a density of
0.90 g/cm?, and that the remaining mass of the body is
composed of fat-free tissue with a density of 1.10 g/cm³.
If the specific gravity of the entire body's density is X,
show that the percent body fat (= f × 100) is given by
3
495
% Body fat
450.
X
Transcribed Image Text:(II) A two-component model used to determine percent body fat in a human body assumes that a fraction f (< 1) of the body's total mass m is composed of fat with a density of 0.90 g/cm?, and that the remaining mass of the body is composed of fat-free tissue with a density of 1.10 g/cm³. If the specific gravity of the entire body's density is X, show that the percent body fat (= f × 100) is given by 3 495 % Body fat 450. X
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