Managers of a local shopping mall selected a random sample of shoppers and recorded the gender of each. Here are their results.

Gender Number of People
Male
75
Female
108
Based on this sample, how many of the next
2000
shoppers would we predict to be male? Round your answer to the nearest whole number. Do not round any intermediate calculations.

75/183 = 0.4098

0.4098 * 2,000 = 819.67 = 820

tcyg5fygv5

To predict the number of males among the next 2000 shoppers, you can use the proportional relationship between the number of males in the sample and the total number of shoppers.

First, find the proportion of males in the sample by dividing the number of male shoppers by the total number of shoppers (males + females):

Proportion of males = Number of males / Total number of shoppers
= 75 / (75 + 108)
= 75 / 183
≈ 0.41

Next, multiply this proportion by the total number of next 2000 shoppers to predict the number of males:

Predicted number of males = Proportion of males * Total number of next shoppers
= 0.41 * 2000
= 820

Therefore, based on the sample, we would predict approximately 820 of the next 2000 shoppers to be male.