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The relative frequency table below displays the proportion of residents in an apartment complex who prefer certain social media sites.

\begin{tabular}{|c|c|c|c|}
\hline
Upstart & Aster & Babble & Techy \\
\hline
0.10 & 0.25 & 0.35 & ?? \\
\hline
\end{tabular}

Which of the following is the missing value?

A. 0.10

B. 0.20

C. 0.30

D. 0.35

Sagot :

GinnyAnsweridn
Certainly! Let's solve this step by step to find the missing value in the table.

The table gives us the proportions for three social media sites, Upstart, Aster, and Babble, and we need to find the proportion for Techy. To find the missing value, we need to understand that the total of all proportions should add up to 1, as we are dealing with a whole (100%) of the population in the apartment complex.

Here are the given proportions:
- Upstart: 0.10
- Aster: 0.25
- Babble: 0.35

Let's denote the missing value for Techy by [tex]\( x \)[/tex]. Thus, the sum of all proportions should be:

[tex]\[ 0.10 + 0.25 + 0.35 + x = 1 \][/tex]

Now, let's add up the given proportions:

[tex]\[ 0.10 + 0.25 + 0.35 = 0.70 \][/tex]

This means the sum of the proportions for Upstart, Aster, and Babble is 0.70. Therefore, to find [tex]\( x \)[/tex], we subtract this sum from 1:

[tex]\[ x = 1 - 0.70 \][/tex]
[tex]\[ x = 0.30 \][/tex]

So, the missing value for Techy is 0.30.

The correct answer from the given options is:
- [tex]\( \boxed{0.3} \)[/tex]

So the missing value that completes the table correctly is 0.3.
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