Answer: 69
Step-by-step explanation:
Let the original employee be x , this means that
116% of x = 80
= 80
116x = 8000
divide through by 116
x = 8000/116
x = 68.96551724
Since we are dealing with employees , therefore x ≈ 69
This means that there were 69 employees originally
Answer:
0.25
Step-by-step explanation:
As a decimal, 0.25
As a fraction, 1/4
As a percentage, 25%
Step-by-step explanation:
Since sides AD and BC are parallel,
Angle BAD + Angle ADC = 180° (co-interior angles)
Therefore Angle ADC = 180° - 115° = 65°.
Answer:
0.6173 = 61.73% probability that the product operates.
Step-by-step explanation:
For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
An electronic product contains 48 integrated circuits.
This means that 
The probability that any integrated circuit is defective is 0.01.
This means that 
The product operates only if there are no defective integrated circuits. What is the probability that the product operates?
This is P(X = 0). So


0.6173 = 61.73% probability that the product operates.