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This question seems to involve presenting some data in a tabular form, but there are several formatting and content errors. Below is a corrected and restructured version:

```
Consider the following data presented in the table below:

[tex]\[
\begin{array}{|c|c|c|c|}
\hline
\text{Experience} & \text{Number of People} & \text{Percentage} & \text{Angle} \\
\hline
\text{Yes} & 33 & 58\% & 198.8^\circ \\
\text{No} & 24 & 42\% & 144^\circ \\
\hline
\text{Total} & 57 & 100\% & \\
\hline
\end{array}
\][/tex]

Verify the angle calculation:
[tex]\[
\frac{360^\circ}{57} \approx 6.32^\circ \text{ per person}
\][/tex]
```

By correcting spelling and grammar, reformatting the table, and ensuring the question makes sense, the table and associated calculations are now clearly presented.



Answer :

GinnyAnswer
Sure! Let's break down the solution step-by-step to solve the given problem:

### Step 1: Understand the Problem
You have a table that provides data about "Experiencia Si" and "Experiencia No" in terms of their counts, their percentages, and the angles associated with these percentages. You need to find some missing values and validate the given data.

To summarize the table:
- For "Sí":
- Experiencia: [tex]\(33\)[/tex]
- Percentage: [tex]\(58\%\)[/tex]
- Angle: [tex]\(1988^\circ\)[/tex]

- For "No":
- Experiencia: [tex]\(24\)[/tex]
- Percentage: [tex]\(42\%\)[/tex]
- Angle: [tex]\(144^\circ\)[/tex]

- For "Solol" (total):
- Experiencia: [tex]\(57\)[/tex] (as [tex]\(33 + 24 = 57\)[/tex])
- Percentage: [tex]\(100\%\)[/tex] (as [tex]\(58\% + 42\% = 100\%\)[/tex])
- Angle: Needs to be calculated.

### Step 2: Calculate Angle per Experiencia
Firstly, calculate how much angle corresponds to one unit of "Experiencia." Since the full circle is [tex]\(360^\circ\)[/tex] and the total "Experiencia" is [tex]\(57\)[/tex], the angle per experiencia is:

[tex]\[ \frac{360^\circ}{57} \approx 6.315789473684211^\circ \][/tex]

### Step 3: Verify the Total Percentage
Next, verify the total percentage, which should indeed sum up to [tex]\(100\%\)[/tex] (as [tex]\(58\%\)[/tex] for "Si" and [tex]\(42\%\)[/tex] for "No" which gives [tex]\(58\% + 42\% = 100\%\)[/tex]).

### Step 4: Calculate Expected Angle for Solol
Given that [tex]\(100\%\)[/tex] corresponds to the whole circle, the angle for "Solol" can be calculated:

[tex]\[ \text{Total Experiencia} \times \text{Angle per Experiencia} \][/tex]

Given:

[tex]\[ 57 \times 6.315789473684211^\circ = 360^\circ \][/tex]

So the expected angle for "Solol" is [tex]\(360^\circ\)[/tex].

### Conclusion
The detailed step-by-step solution validates that:
1. The angle per experiencia is approximately [tex]\(6.315789473684211^\circ\)[/tex].
2. The total percentage is [tex]\(100\%\)[/tex].
3. The expected angle for "Solol" is [tex]\(360^\circ\)[/tex].

These calculations ensure that the given data and derived values make logical and mathematical sense.

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