A store employee conducted a survey of 390 randomly selected customers. According to the survey, 180 of the customers often use coupons. To the nearest percent, what is a good estimate of the percentage of all customers who often use coupons? Enter your answer in the box. $$ \square \% $$

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UpStudy AI · Accepted Answer

To estimate the percentage of all customers who often use coupons, we can use the proportion of customers who often use coupons in the survey to the total number of customers surveyed.

Given:
- Total number of customers surveyed = 390
- Number of customers who often use coupons = 180

To find the percentage of customers who often use coupons, we can use the formula:

$$ \text{Percentage} = \left( \frac{\text{Number of customers who often use coupons}}{\text{Total number of customers surveyed}} \right) \times 100 $$

Substitute the given values into the formula:

$$ \text{Percentage} = \left( \frac{180}{390} \right) \times 100 $$

Now, we can calculate the percentage to the nearest percent.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\frac{180}{390}\right)\times 100$$
- step1: Reduce the fraction:
  $$\frac{6}{13}\times 100$$
- step2: Multiply:
  $$\frac{6\times 100}{13}$$
- step3: Multiply:
  $$\frac{600}{13}$$
The percentage of all customers who often use coupons is approximately 46.15%.

Therefore, a good estimate of the percentage of all customers who often use coupons is 46%.
A good estimate of the percentage of all customers who often use coupons is 46%.

A store employee conducted a survey of 390 randomly selected customers. According to the survey, 180 of the customers often use coupons. To the nearest percent, what is a good estimate of the percentage of all customers who often use coupons? Enter your answer in the box. \( \square \% \)

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