Write down the given ages and the mean.

April 19, 2026Mathematics

ScanSolve AI Answer

April 19, 2026

Answer

Step 1: Write down the given ages and the mean. The ages are $8, 11, 8, 10, 5, 7, 2u, 11, 11$ . The number of ages is $n=9$ . The mean age is $9$ years.

Step 2: Use the formula for the mean. The mean is the sum of all values divided by the number of values. $Mean = \frac{\sum ages}{n}$

Step 3: Substitute the given values into the mean formula. $9 = \frac{8 + 11 + 8 + 10 + 5 + 7 + 2u + 11 + 11}{9}$

Step 4: Sum the known numerical values in the numerator. $8 + 11 + 8 + 10 + 5 + 7 + 11 + 11 = 71$ So the equation becomes: $9 = \frac{71 + 2u}{9}$

Step 5: Solve for $u$ . Multiply both sides by $9$ : $9 \times 9 = 71 + 2u$ $81 = 71 + 2u$ Subtract $71$ from both sides: $81 - 71 = 2u$ $10 = 2u$ Divide by $2$ : $u = \frac{10}{2}$ $u = 5$

The value of $u$ is $\boxed{5}$ .

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Quick Answer

Write down the given ages and the mean. The ages are 8, 11, 8, 10, 5, 7, 2u, 11, 11.

Asked on April 19, 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 April 19, 2026

Step 1: Write down the given ages and the mean. The ages are 8, 11, 8, 10, 5, 7, 2u, 11, 11. The number of ages is n=9. The mean age is 9 years. Step 2: Use the formula for the mean. The mean is the sum of all values divided by the number of values. Mean = agesn Step 3: Substitute the given values into the mean formula. 9 = (8 + 11 + 8 + 10 + 5 + 7 + 2u + 11 + 11)/(9) Step 4: Sum the known numerical values in the numerator. 8 + 11 + 8 + 10 + 5 + 7 + 11 + 11 = 71 So the equation becomes: 9 = (71 + 2u)/(9) Step 5: Solve for u. Multiply both sides by 9: 9 × 9 = 71 + 2u 81 = 71 + 2u Subtract 71 from both sides: 81 - 71 = 2u 10 = 2u Divide by 2: u = (10)/(2) u = 5 The value of u is 5. Send me the next one 📸

Asked on April 19, 2026Mathematics

ScanSolve AI AnswerAnswered on April 19, 2026

Step 1: Write down the given ages and the mean. The ages are 8, 11, 8, 10, 5, 7, 2u, 11, 11. The number of ages is n=9. The mean age is 9 years. Step 2: Use the formula for the mean. The mean is the sum of all values divided by the number of values. Mean = agesn Step 3: Substitute the given values into the mean formula. 9 = (8 + 11 + 8 + 10 + 5 + 7 + 2u + 11 + 11)/(9) Step 4: Sum the known numerical values in the numerator. 8 + 11 + 8 + 10 + 5 + 7 + 11 + 11 = 71 So the equation becomes: 9 = (71 + 2u)/(9) Step 5: Solve for u. Multiply both sides by 9: 9 × 9 = 71 + 2u 81 = 71 + 2u Subtract 71 from both sides: 81 - 71 = 2u 10 = 2u Divide by 2: u = (10)/(2) u = 5 The value of u is 5. Send me the next one 📸