the citizens of a certain community were asked to choose their favorite pet. the pie chart below shows the distribution of the citizens answers. if there are 95,000 citizens in the community, how many chose birds or hamsters?

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Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Descriptive Statistics" ], "new_concepts": [ "Pie Chart Calculations" ], "current_concepts": [ "Descriptive Statistics", "Pie Chart Calculations" ] } ## Identify the given values Using the *Descriptive Statistics* knowledge point $$ \begin{aligned} &\text{Total citizens } (N) = 95,000 \ &\text{Percentage choosing Birds } (P_{\text{Birds}}) = 22\% \ &\text{Percentage choosing Hamsters } (P_{\text{Hamsters}}) = 7\% \end{aligned} $$ ## Combine the percentages Using the *Descriptive Statistics* knowledge point $$ \begin{aligned} P_{\text{combined}} &= P_{\text{Birds}} + P_{\text{Hamsters}} \ &= 22\% + 7\% \ &= 29\% \end{aligned} $$ ## Calculate the number of citizens Using the *Descriptive Statistics* knowledge point $$ \begin{aligned} \text{Number of citizens} &= N \times P_{\text{combined}} \ &= 95,000 \times 0.29 \ &= 27,550 \end{aligned} $$ The citizens of a certain community were asked to choose their favorite pet. The pie chart below shows the distribution of the citizens' answers. If there are 95,000 citizens in the community, how many chose Birds or Hamsters? 27,550 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Statistics", "Pie Chart Calculations" ] }

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Question

Explanation:

Identify the given values

Combine the percentages

Calculate the number of citizens

Answer: