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
Because t is the number of weeks, replace t with 6 in the equation and solve for s.
s = -0.25(6) +4
s = -1.5 +4
s = 2.5
Now replace t with multiples of 6, use 12 and 18:
s =-.25(12) +4 = 1
s-0.25(18) +4 = -0.5
now fins the difference between the time frames:
2.5 - 1 = 1.5
1 - 0.5 = 1.5
The ice melts 1.5 meters every 6 weeks.
Answer:
x=10
Step-by-step explanation:
Because these are vertical angles, they will be congruent.
Ask yourself, "What times 3 is thirty?" or 30÷3=?
Your answer will be 10.
Angle needs to sell 16 membership cards.
First, I subtracted 72 from 200 and that gave me 128. Then, I divided 128 by 8 and got 16. To check my work I multiplied 16 by 8 and got 128. Then I added 72 to 128 and got 200.
Hope this helps!