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aleksklad [387]
3 years ago
6

The average (arithmetic mean) of a set of n numbers is 19. If the average of the 6 greatest numbers in the set is 29 and the ave

rage of the remaining numbers is 7, what is the value of n?
Mathematics
2 answers:
e-lub [12.9K]3 years ago
4 0

Answer:

  11

Step-by-step explanation:

The number of numbers whose average is 7 is (n-6), so the overall equation for the average of the numbers in the set is ...

  (7(n-6) +6(29))/n = 19

  7n +132 = 19n . . . . multiply by n, collect terms

  132 = 12n . . . . . . . . subtract 7n

  11 = n . . . . . . . . . . .  divide by 12

The value of n is 11.

DanielleElmas [232]3 years ago
4 0

Answer:11

Step-by-step explanation:

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