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.
To approximate the relative frequency of a non-defective unit, we need to divide the number of non-defective units by the total number of units.
Total number of units: 500
Number of non-functioning units: 25
Number of non-defective units = Total number of units - Number of non-functioning units
= 500 - 25
= 475
Relative frequency = Number of non-defective units / Total number of units
= 475/500
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 25.
475/500 = (475 ÷ 25) / (500 ÷ 25)
= 19/20
Therefore, the approximate relative frequency of a non-defective unit from this batch of items is 19/20.
The number of non-defective units in the batch is 500 - 25 = 475.
The relative frequency of a non-defective unit is the number of non-defective units divided by the total number of units:
475/500 = 0.95
To express this as a fraction, we can write:
0.95 = 95/100
We can simplify this fraction by dividing both the numerator and denominator by 5:
95/100 = 19/20
Therefore, the relative frequency of a non-defective unit is 19/20.
To approximate the relative frequency of a non-defective unit, we need to divide the number of non-defective units by the total number of units.
Given that the company checked 500 calculator units and 25 of them have non-functioning keys, the number of non-defective units can be calculated by subtracting the number of defective units from the total number of units:
Number of non-defective units = Total number of units - Number of defective units
Number of non-defective units = 500 - 25
Number of non-defective units = 475
Now, we can calculate the relative frequency by dividing the number of non-defective units by the total number of units:
Relative frequency = Number of non-defective units / Total number of units
Relative frequency = 475 / 500
To express this answer in the simplest form of a fraction, we can simplify the fraction:
Relative frequency = (475 ÷ 25) / (500 ÷ 25)
Relative frequency = 19 / 20
Therefore, the relative frequency of a non-defective unit from this batch of items is 19/20.