The number of office workers who said that they do not make personal phone calls is $$ \square, 377 $$ office workers, $$ 4.6 \% $$ said that they do not make personal phone calls. Find the actual number of respondents corresponding to the given percentage.

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UpStudy AI · Accepted Answer

To find the actual number of respondents corresponding to the given percentage, we can set up the equation based on the information provided.

Let $$ x $$ be the total number of office workers surveyed. According to the problem, $$ 4.6\% $$ of these workers do not make personal phone calls, which is given as $$ 377 $$ office workers. We can express this relationship mathematically as:

$$
0.046x = 377
$$

Now, we will solve for $$ x $$ step by step.

1. **Isolate $$ x $$**:
   $$
   x = \frac{377}{0.046}
   $$

2. **Calculate $$ x $$**:
   Now, we will perform the calculation to find $$ x $$.

Let's calculate this value.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{377}{0.046}$$
- step1: Convert the expressions:
  $$\frac{377}{\frac{23}{500}}$$
- step2: Multiply by the reciprocal:
  $$377\times \frac{500}{23}$$
- step3: Multiply:
  $$\frac{377\times 500}{23}$$
- step4: Multiply:
  $$\frac{188500}{23}$$
The total number of office workers surveyed, $$ x $$, is approximately $$ 8195.65 $$. Since the number of respondents must be a whole number, we can round this to $$ 8196 $$.

Thus, the actual number of respondents corresponding to the given percentage is approximately $$ 8196 $$ office workers.
The actual number of office workers surveyed is approximately 8196.

The number of office workers who said that they do not make personal phone calls is \( \square, 377 \) office workers, \( 4.6 \% \) said that they do not make personal phone calls. Find the actual number of respondents corresponding to the given percentage.

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