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Answer :
Final answer:
The geometric mean of 110 and 87 is calculated by finding the square root of the product of these two numbers. After performing the calculation, we round the result to the nearest tenth, obtaining a geometric mean of 97.8, which corresponds to option B).
Explanation:
The geometric mean of two numbers is calculated by taking the square root of their product. In this case, to determine the geometric mean of 110 and 87, you multiply 110 by 87 and then take the square root of the result. The formula to find geometric mean (GM) is GM = √(a × b), where a and b are the numbers given.
Performing the calculation, we have:
- 110 × 87 = 9570
- Geometric Mean (√9570) ≈ 97.8217
Now, to round to the nearest tenth, as the digit after the tenth place is a '2' (which is less than 5), we round down, obtaining a geometric mean of 97.8 which matches option B).
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