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: Identify the average score (Moy.) and coefficient (Coeff.) for each subject. • ANGLAIS: Moy. 4.9, Coeff. 4 • FRANCAIS: Moy. 11, Coeff. 4 • EDUCATION A LA CITOYENNETE ET A LA MORALE: Moy. 13, Coeff. 1 • GEOGRAPHIE: Moy. 11, Coeff. 1 • HISTOIRE: Moy. 11.3, Coeff. 2 • INFORMATIQUE: Moy. 11, Coeff. 2 • MATHEMATIQUES: Moy. 7, Coeff. 4 • SCIENCES: Moy. 13, Coeff. 2 • EDUCATION ARTISTIQUE ET CULTURELLE: Moy. 12, Coeff. 1 • CONDUITE: Moy. 16, Coeff. 1 • ECONOMIE SOCIALE ET FAMILIALE (ESF): Moy. 2, Coeff. 1 Step 2: Calculate the total weighted score by multiplying each subject's average by its coefficient and summing the results. Total Weighted Score = (4.9 × 4) + (11 × 4) + (13 × 1) + (11 × 1) + (11.3 × 2) + (11 × 2) + (7 × 4) + (13 × 2) + (12 × 1) + (16 × 1) + (2 × 1) Total Weighted Score = 19.6 + 44 + 13 + 11 + 22.6 + 22 + 28 + 26 + 12 + 16 + 2 Total Weighted Score = 216.2 Step 3: Calculate the total sum of coefficients. Total Coefficients = 4 + 4 + 1 + 1 + 2 + 2 + 4 + 2 + 1 + 1 + 1 Total Coefficients = 23 Step 4: Calculate the overall average by dividing the total weighted score by the total coefficients. Overall Average = Total Weighted ScoreTotal Coefficients Overall Average = (216.2)/(23) Overall Average ≈ 9.40 The overall average is 9.40.