The mean length of 6 rods is 44.2 cm. The mean length of 5 of them is 46 cm. How long is the sixth rod?​

Work Shown:

x = sum of all 6 lengths

x/6 = mean of the 6 lengths

x/6 = 44.2

x = 6*44.2

x = 265.2

All 6 lengths add up to 265.2 cm.

y = sum of the first 5 lengths

y/5 = mean of those first 5 lengths

y/5 = 46

y = 5*46

y = 230

The first five lengths add up to 230 cm.

z = length of the 6th rod, length is in cm

y+z = (length of first 5 rods)+(length of 6th rod)

y+z = x

230+z = 265.2

z = 265.2-230

z = 35.2

The sixth rod is 35.2 cm

20

step-by-step explanation:

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