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

475500

1 answer

To find the relative frequency of a non-defective unit, we first need to determine how many of the units are functioning (defective) out of the total checked.

  1. Total units checked: 500
  2. Non-functioning (defective) units: 25

To find the functioning (non-defective) units: \[ \text{Functioning units} = \text{Total units} - \text{Defective units} \] \[ \text{Functioning units} = 500 - 25 = 475 \]

Next, we calculate the relative frequency of a non-defective unit: \[ \text{Relative frequency} = \frac{\text{Functioning units}}{\text{Total units}} = \frac{475}{500} \]

Now, we simplify the fraction \( \frac{475}{500} \):

  • Both 475 and 500 can be divided by 25.

Dividing the numerator and denominator by 25: \[ \frac{475 \div 25}{500 \div 25} = \frac{19}{20} \]

Thus, the relative frequency of a non-defective unit is: \[ \frac{19}{20} \]

The correct answer is: Start Fraction 19 over 20 End Fraction.