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

25500
Start Fraction 25 over 500 End Fraction

1920
Start Fraction 19 over 20 End Fraction

120
Start Fraction 1 over 20 End Fraction

475/500

1 answer

To find the relative frequency of a non-defective unit from the batch of calculators, we first need to determine the number of non-defective units.

If there are 500 units in total and 25 of them have non-functioning keys, then the number of non-defective units is:

\[ 500 - 25 = 475 \]

Next, we can express the relative frequency of a non-defective unit as the number of non-defective units divided by the total number of units:

\[ \text{Relative Frequency} = \frac{475}{500} \]

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 25:

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

Thus, the relative frequency of a non-defective unit from this batch expressed in simplest form is:

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

So the correct response is:

1920 Start Fraction 19 over 20 End Fraction