Ages of students are given in a frequency table with a missing frequency represented by '3m+1' and '3m2-2m'. If the total number of students is 50, find the value of m.

May 21, 2026Mathematics

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May 21, 2026

Answer

50$$

: Ages of Students Distribution

(a) Find the value of $m$ ;

Step 1: Set up the equation for the total number of students. The total number of students is given as 50. Summing the frequencies from the table: $(3m+1) + 8 + 9 + (3m^2-2m) + 5m + 6 = 50$

Step 2: Simplify and solve the quadratic equation for $m$ . Combine like terms: $3m^2 + (3m - 2m + 5m) + (1 + 8 + 9 + 6) = 50$

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Problem 13: Ages of Students Distribution (a) Find the value of m; Step 1: Set up the equation for the total number of students.

Asked on May 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 21, 2026

Problem 13: Ages of Students Distribution (a) Find the value of m; Step 1: Set up the equation for the total number of students. The total number of students is given as 50. Summing the frequencies from the table: (3m+1) + 8 + 9 + (3m^2-2m) + 5m + 6 = 50 Step 2: Simplify and solve the quadratic equation for m. Combine like terms: 3m^2 + (3m - 2m + 5m) + (1 + 8 + 9 + 6) = 50 3m^2 +