A carpenter cut four lengths of wood. the lengths were 36 3/4 in., 36 3/8 in., 37 1/2., and z in. if the mean of lengths is 36 5/8 in., what was the length of the fourth piece of wood carpenter cut?

Question

Mathematics

Miss Kitty

23 August, 03:07

A carpenter cut four lengths of wood. the lengths were 36 3/4 in., 36 3/8 in., 37 1/2., and z in. if the mean of lengths is 36 5/8 in., what was the length of the fourth piece of wood carpenter cut?

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Answers (1)

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Celia · Answer 1

36 3/4 = 36.75

36 3/8 = 36.375

37 1/2 = 37.5

36 5/8 = 36.625

(36.75 + 36.375 + 37.5 + z) / 4 = 36.625

(110.625 + z) / 4 = 36.625

110.625 + z = 36.625 * 4

110.625 + z = 146.5

z = 146.5 - 110.625

z = 35.875 or 35 7/8 <===