anonymous
  • anonymous
An orchestra consists of 25 members. The youngest member is 32 years old. She leaves and is replaced by a new member who is 30 years old. By how much does the replacement change the average age of the members of the orchestra?
Mathematics
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anonymous
  • anonymous
An orchestra consists of 25 members. The youngest member is 32 years old. She leaves and is replaced by a new member who is 30 years old. By how much does the replacement change the average age of the members of the orchestra?
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
2
anonymous
  • anonymous
hw did you get this answer
anonymous
  • anonymous
someone can explain this

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anonymous
  • anonymous
I don't know answer
jim_thompson5910
  • jim_thompson5910
Let A = old average and B = new average The old average was found by dividing the sum of the ages S by 25 to get S/25 = A The new average is found by subtracting 32 from that sum S and adding in 30. Then you still divide by 25 (since you still have 25 people) (S-32+30)/25 = B (S-2)/25 = B S/25-2/25 = B A-2/25 = B B = A - 2/25 B = A - 0.08 So B = A - 0.08 which shows us that the average age decreased by 0.08 years

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