Question

twenty-two percent of the large pieces of mail that rachel received this week were magazines and the rest were catalogs. of the catalogs, 36 percent were for clothing. to the nearest whole percent, what is the probability that a randomly chosen large piece of rachel’s mail was a clothing catalog? 8% 28% 48% 61%

Explanation:

Step1: Find percentage of catalogs

Total mail is 100%. Magazines are 22%, so catalogs = \(100\% - 22\% = 78\%\).

Step2: Calculate clothing catalog percentage

Of catalogs, 36% are clothing. So clothing catalogs = \(78\% \times 36\%\). Convert to decimals: \(0.78 \times 0.36 = 0.2808\), which is 28.08% ≈ 28%.

Answer:

28% (the option with "28%")