Answered

IDNLearn.com provides a seamless experience for finding the answers you need. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

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 :

GinnyAnsweridn
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.
Thank you for joining our conversation. Don't hesitate to return anytime to find answers to your questions. Let's continue sharing knowledge and experiences! IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.