A clothing company took a random sample of its T-shirt sales and found that (2)/(5) of the T-shirts sold in the sample were size medium. If the sample is representative of all Tshirts sold by the company, approximately how many of the 25,448 T-shirts sold were size medium? Choose 1 answer: (A) 5,090 (B) 10,180 (C) 15,270 (D) 20,360

Question

A clothing company took a random sample of its T-shirt sales and found that  (2)/(5) of the T-shirts sold in the sample were size medium. If the sample is representative of all Tshirts sold by the company, approximately how many of the 25,448 T-shirts sold were size medium? Choose 1 answer: (A) 5,090 (B) 10,180 (C) 15,270 (D) 20,360

Bytelearn · Accepted Answer

Calculate Medium T-Shirts: Calculate the number of medium T-shirts sold by using the proportion given. We know that 2/5 of the T-shirts sold were size medium. To find out how many T-shirts that is, we multiply the total number of T-shirts sold by the fraction that represents the medium size. Calculation: (2/5) * 25,448Perform Multiplication: Perform the multiplication to find the number of medium T-shirts. Calculation: (2/5) * 25,448 = 2 * 5,089.6 Since the number of T-shirts must be a whole number, we expect the result to be an integer.Complete Multiplication: Complete the multiplication. Calculation: 2 * 5,089.6 = 10,179.2 Since we cannot have a fraction of a T-shirt, we round to the nearest whole number.Round to Nearest Whole Number: Round the result to the nearest whole number to find the approximate number of medium T-shirts sold. Calculation: 10,179.2 is closer to 10,179 than to 10,180 when rounding to the nearest whole number.

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