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In a random sample of Amir's customer feedback, 
96% of customers gave Amir positive feedback. At this rate, how many of Amir's 900 customers gave him positive feedback?

In a random sample of Amir's customer feedback, 96% 96 \% of customers gave Amir positive feedback. At this rate, how many of Amir's 900900 customers gave him positive feedback?

Full solution

Q. In a random sample of Amir's customer feedback, 96% 96 \% of customers gave Amir positive feedback. At this rate, how many of Amir's 900900 customers gave him positive feedback?
  1. Understand and Identify: Understand the problem and identify the given values.\newlineWe know that 96%96\% of Amir's customers gave positive feedback, and Amir has a total of 900900 customers. We need to find out how many customers this percentage represents.
  2. Convert to Decimal: Convert the percentage to a decimal to use in calculations.\newlineTo convert a percentage to a decimal, divide by 100100. So, 96%96\% becomes 0.960.96.
  3. Calculate Number of Customers: Calculate the number of customers who gave positive feedback.\newlineTo find the number of customers who gave positive feedback, multiply the total number of customers by the decimal form of the percentage.\newlineNumber of positive feedbacks = 0.96×9000.96 \times 900
  4. Perform Multiplication: Perform the multiplication to find the number of customers.\newlineNumber of positive feedbacks = 0.96×900=8640.96 \times 900 = 864
  5. Verify Result: Verify the result.\newlineCheck that the multiplication is correct and that the answer makes sense. Since 96%96\% is close to 100%100\%, the number of positive feedbacks should be close to the total number of customers, which is 900900. The result, 864864, is reasonable.