Answer :
To determine the geometric mean of two numbers, you follow these steps:
1. Multiply the two numbers together: Start by multiplying the given values together. In this case, the numbers are 110 and 87.
2. Take the square root of the product: Since we are looking for the geometric mean of two numbers, we take the square root of the product obtained in step 1.
3. Round the result to the nearest tenth: Finally, round the resultant value to one decimal place to find the nearest tenth.
Let's follow these steps:
1. Multiplying the numbers:
[tex]\[
110 \times 87 = 9570
\][/tex]
2. Taking the square root of the product:
[tex]\[
\sqrt{9570}
\][/tex]
3. Rounding the result to the nearest tenth:
The square root of 9570 approximates to 97.8 when rounded to the nearest tenth.
Therefore, the geometric mean of 110 and 87, rounded to the nearest tenth, is 97.8. So the correct answer is:
C) 97.8
1. Multiply the two numbers together: Start by multiplying the given values together. In this case, the numbers are 110 and 87.
2. Take the square root of the product: Since we are looking for the geometric mean of two numbers, we take the square root of the product obtained in step 1.
3. Round the result to the nearest tenth: Finally, round the resultant value to one decimal place to find the nearest tenth.
Let's follow these steps:
1. Multiplying the numbers:
[tex]\[
110 \times 87 = 9570
\][/tex]
2. Taking the square root of the product:
[tex]\[
\sqrt{9570}
\][/tex]
3. Rounding the result to the nearest tenth:
The square root of 9570 approximates to 97.8 when rounded to the nearest tenth.
Therefore, the geometric mean of 110 and 87, rounded to the nearest tenth, is 97.8. So the correct answer is:
C) 97.8
