Em uma grande escola, uma nova coleção didática foi submeti...
Próximas questões
Com base no mesmo assunto
Ano: 2018
Banca:
VUNESP
Órgão:
Prefeitura de Barretos - SP
Prova:
VUNESP - 2018 - Prefeitura de Barretos - SP - Supervisor de Ensino |
Q1034894
Matemática
Em uma grande escola, uma nova coleção didática foi
submetida à avaliação de dois grupos distintos de professores, A e B. Sabe-se que todos os integrantes de ambos
os grupos emitiram opinião e que cada professor ouvido
pôde optar por apenas uma das quatro alternativas dadas (ótima, boa, regular ou ruim) para qualificar a coleção avaliada. O gráfico mostra a participação percentual
desses conceitos no total de respostas dadas em cada
grupo.
![Imagem associada para resolução da questão](data:image/png;base64,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)
De acordo com os dados do gráfico, é correto afirmar que, necessariamente,
De acordo com os dados do gráfico, é correto afirmar que, necessariamente,