Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

To make the given expression easier to read and correct any errors, I will format it properly:

[tex]\[
\begin{array}{l}
C = \sqrt{\frac{\chi^2}{N + \chi^2}} \\
C = \sqrt{\frac{29,881}{282 + 29,881}} = 0.31
\end{array}
\][/tex]

This provides a clear and accurate representation of the mathematical expressions given.

Sagot :

GinnyAnswer
Alright, let’s solve the given problem step-by-step in detail.

You are given the expression for [tex]\( C \)[/tex]:
[tex]\[ C = \sqrt{\frac{\chi^2}{N + \chi^2}} \][/tex]

The given values are:
[tex]\[ \chi^2 = 29,881 \][/tex]
[tex]\[ N = 282 \][/tex]

Now, let's compute the fraction inside the square root step-by-step:

1. Sum the denominator:
[tex]\[ N + \chi^2 = 282 + 29,881 = 30,163 \][/tex]

2. Form the fraction:
[tex]\[ \frac{\chi^2}{N + \chi^2} = \frac{29,881}{30,163} \][/tex]

3. Simplify the fraction numerically:
[tex]\[ \frac{29,881}{30,163} \approx 0.9906507973344827 \][/tex]

4. Compute the square root:
[tex]\[ C = \sqrt{0.9906507973344827} \][/tex]

5. Final value of [tex]\( C \)[/tex]:
[tex]\[ C \approx 0.9953144213435685 \][/tex]

Thus, the fraction [tex]\(\frac{\chi^2}{N + \chi^2}\)[/tex] simplifies to approximately 0.9906507973344827, and the value of [tex]\( C \)[/tex] is approximately 0.9953144213435685.
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.