A calculator manufacturing company checks 500 calculator units, and 25 of them have non-functioning keys. Approximate the relative frequency of a non-defective unit from this batch of items. Express your answer in the simplest form of a fraction.(1 point)

Responses

475500
Start Fraction 475 over 500 End Fraction

25500
Start Fraction 25 over 500 End Fraction

1920
Start Fraction 19 over 20 End Fraction

120

1 answer

To determine the relative frequency of a non-defective unit from the batch of 500 calculators, we have the following information:

  • Total units checked: 500
  • Non-functioning units: 25

First, we need to find the number of non-defective units:

\[ \text{Number of non-defective units} = \text{Total units} - \text{Non-functioning units} = 500 - 25 = 475 \]

Now, we can calculate the relative frequency of a non-defective unit by dividing the number of non-defective units by the total number of units:

\[ \text{Relative frequency of non-defective units} = \frac{475}{500} \]

Next, we can simplify this fraction. Both 475 and 500 can be divided by 25:

\[ \frac{475 \div 25}{500 \div 25} = \frac{19}{20} \]

Thus, the relative frequency of a non-defective unit is:

\[ \frac{19}{20} \]

So, the correct answer is: \[ \text{Start Fraction } 19 \text{ over } 20 \text{ End Fraction} \]