A clothing company took a random sample of its T-shirt sales and found that 52 of the T-shirts sold in the sample were size medium. If the sample is representative of all T shirts 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
Q. A clothing company took a random sample of its T-shirt sales and found that 52 of the T-shirts sold in the sample were size medium. If the sample is representative of all T shirts 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
Problem Understanding: Understand the problem.We are given that 52 of the T-shirts sold were size medium. We need to find out how many T-shirts that represents out of a total of 25,448 T-shirts sold.
Calculating Medium T-shirts: Calculate the number of medium T-shirts.To find the number of medium T-shirts, we multiply the total number of T-shirts sold by the fraction that represents the medium size.Calculation: (52)×25,448
Performing Multiplication: Perform the multiplication.Now we perform the multiplication to find the number of medium T-shirts.Calculation: (52)×25,448=2×(525,448)
Dividing by 5: Divide 25,448 by 5.Before multiplying by 2, we divide 25,448 by 5 to simplify the calculation.Calculation: 525,448=5,089.6
Multiplying by 2: Multiply the result by 2.Now we multiply the result from Step 4 by 2 to find the number of medium T-shirts.Calculation: 5,089.6×2=10,179.2
Rounding to Nearest Whole Number: Round to the nearest whole number.Since we cannot have a fraction of a T-shirt, we round the result to the nearest whole number.Calculation: Round 10,179.2 to 10,179