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kudzordzifrancis
ANSWER

[tex]Geometric \: \: Mean=2 \sqrt{10} [/tex]

EXPLANATION

The geometric mean for two real numbers,
x and y, where
[tex]xy \geqslant 0[/tex]
is by

[tex]Geometric \: \: Mean= \sqrt{xy} [/tex]

We apply this formula to find the geometric mean of 4 and 10 to be,

[tex]Geometric \: \: Mean= \sqrt{4 \times 10} [/tex]

[tex]Geometric \: \: Mean= \sqrt{4} \times \sqrt{10} [/tex]

[tex]Geometric \: \: Mean=2 \sqrt{10} [/tex]

Or

[tex]Geometric \: \: Mean=6.3[/tex] to the nearest tenth.
raphealnwobi

The geometric mean of 4 and 10 is 6.3.

Geometric mean is a mean which indicates the central tendency of a group of numbers by using the product of their values.

The geometric mean is given by:

[tex]Geometric\ mean=\sqrt[n]{\pi (x_i)}\\\\i=1,2,3,.\ .\ .[/tex]

The geometric mean of 4 and 10 is:

[tex]Geometric \ mean=\sqrt{4*10}=6.3[/tex]

Find out more at: https://brainly.com/question/8934175

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