The harmonic mean is 4 if the geometric mean of two positive numbers is 6 and their arithmetic mean is 9.
What is mean?
It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the two positive numbers are x and y.
The geometric mean of two positive numbers is 6:
√(xy) = 6
xy = 36 ..(1)
The arithmetic mean is 9:
(x + y)/2 = 9
x + y = 18 ..(2)
The harmonic mean:
= 2xy/(x+y)
= 2(36)/(18)
= 72/18
HM = 4
Thus, the harmonic mean is 4 if the geometric mean of two positive numbers is 6 and their arithmetic mean is 9.
Learn more about the mean here:
https://brainly.com/question/22871228
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