a carpenter cut four lengths of wood the lengths were 36 3/4 in 36 3/8 in 37 1/2 in and z in if the mean of the lengths is 36 5/8 in what was the length of the fourth piece of wood the carpenter cut answers only
i hate mixed numbers. use decimals and a calculator you have \[\frac{a+b+c+z}{4}=36\tfrac{5}{8}\] so \[a+b+c+z=4\times 36\tfrac{5}{8}\] you know the numbers \(a,b,c\) so solve for \(z\)
I really dont understand this please help
the "mean" is what you get when you add up and divide by the number of numbers you have. in every day english the "average"
you only know 3 out of the 4 numbers, the 4th is \(z\) and that is the number you need to solve for you are given the mean is \(36\tfrac{5}{8}\) so you know \[\frac{36\tfrac{3}{4}+36\tfrac{3}{8}+37\tfrac{1}{2}+z}{4}=36\tfrac{5}{8}\]
multiply both sizes by 4 to get \[36\tfrac{3}{4}+36\tfrac{3}{8}+37\tfrac{1}{2}+z=4\times 36\tfrac{5}{8}\]
add up the mess on the left, subtract that number from the right, and you will have \(z\)
and the answer is????????
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