Answered

Join the IDNLearn.com community and get your questions answered by knowledgeable individuals. Join our platform to receive prompt and accurate responses from experienced professionals in various fields.

The following is a list of 5 measurements:
6, 18, 20, 6, 12

Suppose that these 5 measurements are respectively labeled [tex]\(x_1, x_2, \ldots, x_5\)[/tex]. Compute the following:

[tex]\[
\sum_{i=1}^5\left(x_i\right)^2
\][/tex]

[tex]\(\square\)[/tex]

Sagot :

GinnyAnsweridn
To solve the problem of finding the sum of the squares of the given measurements [tex]\(6, 18, 20, 6, 12\)[/tex], we need to follow these steps:

1. List the measurements and label them:

[tex]\( x_1 = 6 \)[/tex]

[tex]\( x_2 = 18 \)[/tex]

[tex]\( x_3 = 20 \)[/tex]

[tex]\( x_4 = 6 \)[/tex]

[tex]\( x_5 = 12 \)[/tex]

2. Square each of these measurements:

[tex]\(x_1^2 = 6^2 = 36\)[/tex]

[tex]\(x_2^2 = 18^2 = 324\)[/tex]

[tex]\(x_3^2 = 20^2 = 400\)[/tex]

[tex]\(x_4^2 = 6^2 = 36\)[/tex]

[tex]\(x_5^2 = 12^2 = 144\)[/tex]

3. Add the squares of these measurements:

[tex]\[ \sum_{i=1}^5 x_i^2 = x_1^2 + x_2^2 + x_3^2 + x_4^2 + x_5^2 \][/tex]
Substituting the values, we get:

[tex]\[ = 36 + 324 + 400 + 36 + 144 \][/tex]

4. Calculate the sum:

[tex]\[ 36 + 324 + 400 + 36 + 144 = 940 \][/tex]

Therefore, the sum of the squares of the given measurements is [tex]\( \boxed{940} \)[/tex].
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For trustworthy and accurate answers, visit IDNLearn.com. Thanks for stopping by, and see you next time for more solutions.