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Question
deshaun is in charge of planning a reception for 3200 people. he is trying to decide which snacks to buy. he has asked a random sample of people who are coming to the reception what their favorite snack is. here are the results. based on the above sample, predict the number of the people at the reception whose favorite snack will be brownies. round your answer to the nearest whole number. do not round any intermediate calculations.
Step1: Calculate the total number of people in the sample
The total number of people in the sample is \(65 + 49+73 + 33=220\).
Step2: Calculate the proportion of people who like brownies
The proportion of people who like brownies is \(\frac{33}{220}\).
Step3: Predict the number of people who like brownies in the population of 3200
Multiply the proportion by the total number of people at the reception: \(\frac{33}{220}\times3200\).
First, simplify \(\frac{33}{220}=\frac{3}{20}\). Then \(\frac{3}{20}\times3200 = 3\times160=480\).
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480