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)

Question

Responses

1920
Start Fraction 19 over 20 End Fraction

25500
Start Fraction 25 over 500 End Fraction

475500
Start Fraction 475 over 500 End Fraction

120

Answer 1

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

Given:

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

First, calculate the number of functioning (non-defective) units:

Number of functioning units = Total units - Non-functioning units = 500 - 25 = 475

Now we can express the relative frequency of a non-defective unit as a fraction of the total units:

Relative frequency of non-defective units = Number of functioning units / Total units = 475 / 500

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

Both the numerator and the denominator can be divided by 25:

• 475 ÷ 25 = 19
• 500 ÷ 25 = 20

Thus, the simplified form of the fraction is:

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

So, the answer is:

Start Fraction 19 over 20 End Fraction.