the data of a survey are given in the table below:
\begin{tabular}{ccc}
& books & movie \\
age 10 - 20 & 15 & 12 \\
age 21 - 30 & 20 & 24
\end{tabular}

the table shows the hobby of a few persons based on age group. calculate the sum of $a_{12}$ and $a_{22}$?

Question

the data of a survey are given in the table below:
\begin{tabular}{ccc}
& books & movie \\
age 10 - 20 & 15 & 12 \\
age 21 - 30 & 20 & 24
\end{tabular}

the table shows the hobby of a few persons based on age group. calculate the sum of $a_{12}$ and $a_{22}$?

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Matrix Representation", "Matrix Element Indexing" ], "new_concepts": [], "current_concepts": [ "Matrix Representation", "Matrix Element Indexing", "Data Organization" ] } ## Construct the matrix from the table Using the *Matrix Representation* knowledge point $$ A = \begin{bmatrix} 15 & 12 \ 20 & 24 \end{bmatrix} $$ ## Identify the required matrix elements Using the *Matrix Element Indexing* knowledge point $$ \begin{aligned} a_{12} &= 12\ a_{22} &= 24 \end{aligned} $$ ## Calculate the sum of the elements Using the *Matrix Element Indexing* knowledge point $$ a_{12} + a_{22} = 12 + 24 = 36 $$

(A) 15

(B) 36

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Matrix Element Indexing" ] }

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QUESTION IMAGE

Question

Explanation:

Construct the matrix from the table

Identify the required matrix elements

Calculate the sum of the elements

Answer: