rikamen187
rikamen187 rikamen187
  • 04-06-2021
  • Mathematics
contestada

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?​

Respuesta :

jimthompson5910 jimthompson5910
  • 04-06-2021

Answer:  35.2 cm

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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

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