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
The number of rectangular prism container that would be set on the shelf is: 4.
<h3>What is the Volume of a Rectangular Prism?</h3>
Volume of rectangular prism = length × width ×height
Given the following:
- Volume of three containers = 135 in.³
- Volume of each rectangular prism container = 135/3 = 45 in.³
- One face = width × height = 4.5 × 2 = 9 in.
Find the length of one rectangular prism using the volume formula since volume for one prism = 45 in.³
45 = length × 9
length = 5 in.
Each rectangular prism container is 5 in. long, therefore, the number of the containers that can be set on the shelf that is 24 in. long, if the 4.5 in by 2 in. face touches each other = 24/5 = 4.8.
The fifth container won't fit in. Therefore, the number of rectangular prism container that would be set on the shelf is: 4.
Learn more about rectangular prism on:
brainly.com/question/1015291
Answer:
The answer to your question is:th first option is correct.
Step-by-step explanation:
Here we have and hyperbola with center (0, 1), and the hyperbola is horizontal because x² is positive.
Equation
y - k = ±
Process
Find a, b
a² = 9
a = 3
b² = 5
b = √5
h = 0 and k = 1
Substitution
y - 1 = ±
Equation 1
y = 
Equation 2
y = -
If he has 6 friends they will all get 8 cards
<h2>
Answer: 0.85 radians</h2>
Step-by-step explanation:
We have the following trigonometric expression:
The result of this calculation is:
where the angle is in degrees
If
then:
Therefore the answer is 0.85 radians