O Professor de História aplicou 3 provas ao longo do semestre, sendo que cada prova tinha um peso diferente. A média, para aprovação do aluno, é 7,...

Para calcular a média ponderada, é necessário multiplicar cada nota pelo seu respectivo peso, somar esses valores e dividir pela soma dos pesos. A média ponderada de cada aluno é: - Aline: (6,8 x 2) + (6,5 x 3) + (6,0 x 5) = 13,6 + 19,5 + 30,0 = 63,1 / 10 = 6,31 - Ana: (6,5 x 2) + (6,5 x 3) + (7,5 x 5) = 13,0 + 19,5 + 37,5 = 70,0 / 10 = 7,0 - Beatriz: (7,5 x 2) + (6,0 x 3) + (7,4 x 5) = 15,0 + 18,0 + 37,0 = 70,0 / 10 = 7,0 - Bianca: (8,0 x 2) + (7,0 x 3) + (7,5 x 5) = 16,0 + 21,0 + 37,5 = 74,5 / 10 = 7,45 - Bruna: (9,0 x 2) + (6,0 x 3) + (6,8 x 5) = 18,0 + 18,0 + 34,0 = 70,0 / 10 = 7,0 - Carla: (8,0 x 2) + (5,0 x 3) + (6,0 x 5) = 16,0 + 15,0 + 30,0 = 61,0 / 10 = 6,1 - Denise: (8,0 x 2) + (7,5 x 3) + (5,5 x 5) = 16,0 + 22,5 + 27,5 = 66,0 / 10 = 6,6 - Elaine: (4,0 x 2) + (6,0 x 3) + (9,0 x 5) = 8,0 + 18,0 + 45,0 = 71,0 / 10 = 7,1 - Fabiana: (6,5 x 2) + (7,0 x 3) + (7,0 x 5) = 13,0 + 21,0 + 35,0 = 69,0 / 10 = 6,9 - Paula: (6,0 x 2) + (6,0 x 3) + (8,0 x 5) = 12,0 + 18,0 + 40,0 = 70,0 / 10 = 7,0 Os alunos que obtiveram média igual ou superior a 7,0 estão aprovados. Portanto, as alternativas corretas são 2 e 3. Os alunos aprovados são: - Alternativa 2: Ana, Bianca, Carla, Denise, Elaine e Paula. - Alternativa 3: Ana, Beatriz, Bianca, Bruna, Elaine e Paula.