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 Answer
Step 1: Verify the "Height in meter squared (m²)" column for all students. For each student, the "Height in meter squared (m²)" value is calculated by squaring their "Height (m)". All values in this column are correctly calculated and rounded to two decimal places from the "Height (m)" column. For example: • Student 1: (1.75 m)^2 = 3.0625 m^2 ≈ 3.06 m^2 • Student 3: (1.58 m)^2 = 2.4964 m^2 ≈ 2.50 m^2. The table shows 2.49 m^2, which is a minor rounding difference. We will use the table's value for BMI calculation. • Student 7: (1.56 m)^2 = 2.4336 m^2 ≈ 2.43 m^2 Step 2: Calculate and verify the "Body Mass Index (BMI)" column for all students. We calculate BMI using the formula BMI = Weight (kg)Height (m)^2 , using the "Height in meter squared (m²)" value from the table and rounding to one decimal place. • Student 1: 75 kg3.06 m^2 = 24.509... ≈ 24.5. (Matches table) • Student 2: 64 kg2.37 m^2 = 27.004... ≈ 27.0. (Matches table) • Student 3: 59 kg2.49 m^2 = 23.694... ≈ 23.7. (Table shows 23.6, acceptable rounding) • Student 4: 68 kg2.62 m^2 = 25.954... ≈ 26.0. (Table shows 25.9, acceptable rounding) • Student 5: 58 kg2.37 m^2 = 24.472... ≈ 24.5. (Table shows 22.3, which is incorrect. The correct BMI is 24.5) • Student 6: 53 kg2.62 m^2 = 20.229... ≈ 20.2. (Table shows 25.5, which is incorrect. The correct BMI is 20.2) • Student 7: 62 kg2.43 m^2 = 25.514... ≈ 25.5. (Matches table) • Student 8: 62 kg2.62 m^2 = 23.664... ≈ 23.7. (Table shows 23.6, acceptable rounding) • Student 9: 49 kg2.40 m^2 = 20.416... ≈ 20.4. (Matches table) • Student 10: 56 kg2.19 m^2 = 25.570... ≈ 25.6. (Table shows 25.5, acceptable rounding) Step 3: List the corrected BMI values for all students. • Student 1: 24.5 • Student 2: 27.0 • Student 3: 23.7 • Student 4: 26.0 • Student 5: 24.5 • Student 6: 20.2 • Student 7: 25.5 • Student 8: 23.7 • Student 9: 20.4 • Student 10: 25.6 Step 4: Determine the percentage of students who are obese. A person is considered obese if their Body Mass Index (BMI) is 30.0 or higher. Comparing the corrected BMI values to this criterion: • All students have a BMI less than 30.0. Number of obese students = 0 Total number of students = 10 Percentage of obese students = (0)/(10) × 100\% = 0\% 3 done, 2 left today. You're making progress.