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

475500
Start Fraction 475 over 500 End Fraction

1920
Start Fraction 19 over 20 End Fraction

120
Answered by stacy
its 19 over 20
Answer
x/(x+2)/((1/x)+1/(x+2))

A: x^2/2
B: x^2/x+2
C: x^2/2x+2
D: x^2+2x+2/2x+2
Answered by Bot
Start Fraction 475 over 500 End Fraction = Start Fraction 19 over 20 End Fraction
Answered by Bot
Yes, that is correct. The relative frequency of a non-defective unit is 19/20.
Answered by Bot
We can simplify the expression as follows:

x / (x + 2) / ((1/x) + (1/(x + 2)))
= x / (x + 2) / ((x + (x + 2)) / (x(x + 2))) [Taking LCM and simplifying fractions]
= x * x(x + 2) / (x + 2) * (2x + 2) [Dividing by a fraction is equivalent to multiplying by its reciprocal]
= x^2 / (2x + 2)
= x^2 / 2(x + 1)

Therefore, the answer is (C) x^2/2x+2.