Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Experience the convenience of finding accurate answers to your questions from knowledgeable professionals on our platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.