https://file.aiquickdraw.com/mathbot/file/1725399845953cph48zbv.jpg

To solve the problem in the image, we need to calculate the value of \(\sum a^2\) given the values for \(x\). The sum notation suggests that we need to sum the squares of the given values of \(x\).

The given values of \(x\) are:
\[
x = 3, \ 5, \ 9
\]

To calculate \(\sum a^2\), we square each of these values and then sum them:

\[
3^2 = 9
\]
\[
5^2 = 25
\]
\[
9^2 = 81
\]

Now, sum these squares:

\[
\sum a^2 = 9 + 25 + 81 = 115
\]

So, the value of \(\sum a^2\) is **115**.

Would you like more details or have any questions?

Here are some related questions you might find useful:

1. What is the general formula for calculating \(\sum a^2\) given a set of values?
2. How does the sum of squares relate to the standard deviation?
3. What would \(\sum (a + b)^2\) look like for a given set of values \(a\) and \(b\)?
4. Can you explain how to calculate the mean of these squared values?
5. How is \(\sum a^2\) used in statistical analyses like variance?

**Tip:** The sum of squares is a fundamental concept in statistics and is used to measure the spread or variability of a set of data points.

Given the values for x, calculate the value of Σa². The values for x are: 3, 5, and 9.

Learn how to calculate the summation of squares (Σa²) for given values of x: 3, 5, and 9. This problem introduces the concept of summation in algebra, where each value of x is squared and then summed. Suitable for students in Grades 6-8.

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