Math  /  Data & Statistics

QuestionThe biggest cause of inventory loss, called shrinkage, is shoplifting, followed closely by employee theft. In one study, the nine countries with the highest shrinkage rates, measured in the dollar amount lost for every $100\$ 100 in sales, are as follows. \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Country & India & Russia & Morocco & South Africa & Brazil & Mexico & Thailand & Turkey \\ \hline \begin{tabular}{c} Shrinkage \\ Rate ($)(\$) \end{tabular} & 2.36 & 1.76 & 1.72 & 1.71 & 1.66 & 1.62 & 1.62 & 1.61 \\ \hline \end{tabular}
Let AA denote the set of countries that have a shrinkage rate greater than $1.65\$ 1.65, let BB be the set of countries that have a shrinkage rate between $1.65\$ 1.65 and $1.73\$ 1.73, and let CC be the set of countries that have a shrinkage rate less than $1.70\$ 1.70. Find the following sets. (Let II represent India, RR represent Russia, MM represent Morocco, SS represent South Africa, BB represent Brazil, XX represent Mexico, HH represent Thailand, and TT represent Turkey. Enter your answers using roster notation. Enter EMPTY or \emptyset for the empty set.) (a) A,BA, B, and CC A=A= \square B=B= \square C=C= \square (b) ABA \cap B \square (c) ACBA^{C} \cap B \square (d) ABCA \cap B^{C} \square

Studdy Solution
(a) A={I,R,M,S,B}A = \{I, R, M, S, B\}, B={M,S,B}B = \{M, S, B\}, C={B,X,H,T}C = \{B, X, H, T\} (b) AB={M,S,B}A \cap B = \{M, S, B\} (c) ACB=A^C \cap B = \emptyset (d) ABC={I,R}A \cap B^C = \{I, R\}

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