To begin with, we need to evaluate the expression for [tex]\( C \)[/tex]:
[tex]\[ C = \sqrt{\frac{29,881}{282 + 29,881}} \][/tex]
First, add the numbers in the denominator:
[tex]\[ 282 + 29,881 = 30,163 \][/tex]
Next, divide the numerator by the new denominator:
[tex]\[ \frac{29,881}{30,163} \][/tex]
After dividing, we need to take the square root of the result:
[tex]\[ C = \sqrt{\frac{29,881}{30,163}} \][/tex]
Upon calculating the fraction and then taking the square root, we find:
[tex]\[ C \approx 0.9953144213435685 \][/tex]
So, the true value of [tex]\( C \)[/tex] is approximately:
[tex]\[ C \approx 0.9953 \][/tex]
Therefore, [tex]\( C \)[/tex] is approximately 0.9953, not 0.31 as stated in the question.
