Question

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

1920
Start Fraction 19 over 20 End Fraction

475500
Start Fraction 475 over 500 End Fraction

120
Start Fraction 1 over 20 End Fraction

25500

1 answer

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

There are a total of 500 calculator units, and 25 of them have non-functioning keys. Thus, the number of non-defective units is:

\[ 500 - 25 = 475 \]

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

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

Now, we simplify the fraction \( \frac{475}{500} \). Both the numerator and the denominator can be divided by 25:

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

So the simplified form of the fraction representing the relative frequency of a non-defective unit is:

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

Thus, the correct response is:

Start Fraction 19 over 20 End Fraction