Question
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
25500
Start Fraction 25 over 500 End Fraction
1920
Start Fraction 19 over 20 End Fraction
475500
Start Fraction 475 over 500 End Fraction
120
Answers
GPT-4o mini
To find the relative frequency of a non-defective unit, we first need to determine how many units are functioning.
Given:
- Total number of units checked = 500
- Number of non-functioning units = 25
So, the number of functioning (non-defective) units is:
500 - 25 = 475.
Now, we calculate the relative frequency of non-defective units:
Relative frequency = (Number of non-defective units) / (Total number of units)
= 475 / 500.
Next, let's simplify this fraction:
475 and 500 have a common factor of 25.
475 ÷ 25 = 19
500 ÷ 25 = 20.
Thus, the simplified fraction is:
19/20.
The corresponding response is:
**1920**
Start Fraction 19 over 20 End Fraction.
Given:
- Total number of units checked = 500
- Number of non-functioning units = 25
So, the number of functioning (non-defective) units is:
500 - 25 = 475.
Now, we calculate the relative frequency of non-defective units:
Relative frequency = (Number of non-defective units) / (Total number of units)
= 475 / 500.
Next, let's simplify this fraction:
475 and 500 have a common factor of 25.
475 ÷ 25 = 19
500 ÷ 25 = 20.
Thus, the simplified fraction is:
19/20.
The corresponding response is:
**1920**
Start Fraction 19 over 20 End Fraction.