Answer:
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. The probability of a calculator being defective is independent of any other calculator, which means that the binomial probability distribution is used 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.
5% of calculators coming out of the production lines have a defect.
This means that 
Fifty calculators are randomly selected from the production line and tested for defects.
This means that 
What is the probability that exactly 2 calculators are defective?
This is P(X = 2). So
0.2611 = 26.11% probability that exactly 2 calculators are defective.
Answer:
21.9 ft
Step-by-step explanation:
The area of a square is the square of the side length, so the side length is the square root of the area:
... s = √(479 ft²) ≈ 21.886 ft
This is approximately 21.9 ft.
Answer:
2(2y+9)
Step-by-step explanation:
6y+10-2y+8
4y+18
2(2y+9)
hope it helps.
just sitting here waiting for brainliest.
Answer: 
Step-by-step explanation:
It is important to remember the definition of "Linear pair angles".
By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.
Based on this, we know that the angles 
and 
are supplementary, which means that they add up to 180 degrees.
So, knowing that:
We can write the following expression and solve for "x":
Therefore, substituting, we get that the measures of the angles and are:
Answer:
Step-by-step explanation:
Δ = 
VΔ = 4 * 8 = 32
a = (- 4 ± 32) * 
a' = 7/2
a''= 9/2
