Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.
For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of <u>exactly x successes on n repeated trials, with p probability</u>, and has variance given by:

In this problem:
- 95% pass final inspection, hence

- 120 components are inspected in one day, hence
.
The variance is given by:

The variance of the number that pass inspection in one day is 5.7.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377
Answer:x=-5 and x=3
Step-by-step explanation:
(X+5)(x-3)=0
X+5=0 or x-3=0
X=-5 or x=3
Answer:
x = 3
Step-by-step explanation:
3(x - 4) = -3
Divide by 3
3/3(x - 4) = -3/3
x-4 = -1
Add 4 to each side
x-4+4 = -1+4
x = 3
Answer:

Step-by-step explanation:
Let x represent the number of lawns mowed and y represent the number of cars washed.
1. Since the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow, you have that
.
2. Beth will wash at least 50 cars, then 
3. Mike charges $25 each time he mows a yard, then he earns $25x for mowing x yards. Beth charges $15 for each car she washes, then she earns $15y for y cars washed. They need at least $1975, so

4. A set of constraints to model the problem is
