2022-08-30 08:05:08 +00:00
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\documentclass[a4paper,10pt]{article}
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\usepackage{myXsim}
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\author{Benjamin Bertrand}
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2022-08-30 08:39:14 +00:00
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\title{Proportion et fractions - Cours}
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2022-08-30 08:05:08 +00:00
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\date{Septembre 2022}
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\pagestyle{empty}
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\begin{document}
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\maketitle
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\section{Proportion}
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\begin{definition}[ Proportion ]
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\begin{minipage}{0.7\linewidth}
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Soient $A$, $B$ deux ensembles tels que $B$ est inclus dans $A$ (on peut noter $B \subset A$)
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La proportion de $B$ dans $A$ se calcule avec la formule suivante
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\[
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p = \frac{\#B}{\#A} = \frac{\mbox{Nombre d'éléments dans B}}{\mbox{Nombre d'éléments dans A}} = \frac{\mbox{Effectif de B}}{\mbox{Effectif de A}}
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\]
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\end{minipage}
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\hfill
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\begin{minipage}{0.2\linewidth}
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\begin{tikzpicture}
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\node[draw,
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circle,
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minimum size =3cm,
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fill=blue!50,
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label={45:$A$}] (circleB) at (0,0.5){};
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\node[draw,
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circle,
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minimum size =2cm,
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fill=orange!80,
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label={135:$B$}] (circleA) at (0,0.2){};
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\end{tikzpicture}
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\end{minipage}
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\end{definition}
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\paragraph{Exemple:}
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\begin{enumerate}
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\item Dans une ville de \np{20000}habitants, il y a \np{6000} femmes. La proportion de femme est alors
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\afaire{}
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\end{enumerate}
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\end{document}
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