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What is the arithmetic mean of the numbers f(a), f(b) ? a=3, b=30 f(x)=x/3+10

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fryvonne | High School Teacher | (Level 1) Honors

Posted May 23, 2011 at 9:49 AM via web

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What is the arithmetic mean of the numbers f(a), f(b) ?

a=3, b=30

f(x)=x/3+10

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ncchemist | eNotes Employee

Posted May 24, 2011 at 7:08 AM (Answer #2)

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To solve this simply input the values for a and b into the function f(x) and find the arithmetic mean of the results.

f(a) = 3/3 + 10 = 1 + 10 = 11

f(b) = 30/3 + 10 = 10 + 10 = 20

Now find the arithmetic mean of 11 and 20:

(11+20)/2 = 31/2 = 15.5

The answer is 15.5.

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giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted May 24, 2011 at 4:35 PM (Answer #3)

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We need to find out f(a) and f(b) first.

We'll determine the values, replacing x by the given values of a and b

f(3) = 3/3 + 10

f(3) = 1 + 10 => f(3) = 11

f(30) = 30/3 + 10 => f(30) = 20

The arithmetic mean is the sum of elements divided by the number of elements.

A.M. = [f(a) + f(b)]/2

A.M. = (20+11)/2

A.M. = 31/2

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