Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Surveyed about whether they enjoyed the movie or not:

Males:
- Enjoyed: 47
- Did not enjoy: 13

Females:
- Enjoyed: 53
- Did not enjoy: 3

Survey on Movie:

\begin{tabular}{|c|c|c|c|}
\hline
& Enjoyed & \begin{tabular}{c} Did Not \\ Enjoy \end{tabular} & Total \\
\hline
Males & [tex]$a$[/tex] & [tex]$11 \%$[/tex] & \\
\hline
Females & [tex]$46 \%$[/tex] & [tex]$b$[/tex] & \\
\hline
Total & & & [tex]$100 \%$[/tex] \\
\hline
\end{tabular}

Complete the table for the survey results. Round answers to the nearest percent.

A. [tex]$a = 40 \%, b = 4 \%$[/tex]
B. [tex]$a = 41 \%, b = 3 \%$[/tex]
C. [tex]$a = 47 \%, b = 3 \%$[/tex]
D. [tex]$a = 41 \%, b = 19 \%$[/tex]

Sagot :

GinnyAnswer
To solve the problem of filling out the table with the correct percentages, let's break down the steps systematically:

1. Calculate Total Respondents:
- Males who enjoyed the movie: 47
- Males who did not enjoy the movie: 13
- Females who enjoyed the movie: 53
- Females who did not enjoy the movie: 3

Total males = 47 (enjoyed) + 13 (did not enjoy) = 60
Total females = 53 (enjoyed) + 3 (did not enjoy) = 56
Total respondents = 60 (males) + 56 (females) = 116

2. Calculate Percentages:
- Percentage of males who enjoyed the movie:
[tex]\[ \text{Males Enjoyed Percentage} = \left( \frac{47}{116} \right) \times 100 \approx 40.52\% \][/tex]
Rounded to the nearest percent: 41%

- Percentage of females who did not enjoy the movie:
[tex]\[ \text{Females Did Not Enjoy Percentage} = \left( \frac{3}{116} \right) \times 100 \approx 2.59\% \][/tex]
Rounded to the nearest percent: 3%

3. Fill the Table with Given Values:
- The percentage of males who did not enjoy the movie: Given as 11%
- The percentage of females who enjoyed the movie: Given as 46%

4. Verify the Values:
- The value for "Total" should sum up to 100%

So, the values for \(a\) and \(b\) are already calculated and rounded. Based on the options provided:

The correct answers are \(a = 41\%\) and \(b = 3\%\).

Thus, the correct choice is:

[tex]\(a = 41\%, b = 3\%\)[/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.