Bone-height relationship Archeologists can determine the height of a human without having a complete skeleton. If an archeologist finds only a humerus, then the height of the individual can be determined by using a simple linear relationship. (The humerus is the bone between the shoulder and the elbow.) For a female, if x is the length of the humerus (in centimeters), then her height h (in centimeters) can be determined using the formula h = 65 + 3.14x. For a male, h = 73.6 + 3.0x should be used.
(a) A female skeleton having a 30-centimeter humerus is found. Find the woman’s height at death.
(b) A person’s height will typically decrease by 0.06 centimeter each year after age 30. A complete male skeleton is found. The humerus is 34 centimeters, and the man’s height was 174 centimeters. Determine his approximate age at death.
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