The length of the diagonal of a rectangle is √181 inches. Which statement describes the length of the diagonal?
1 answer:
Answer:
The correct option is (B).
Step-by-step explanation:
The length of the diagonal of a rectangle is inches.
Compute the value of inches as follows:
The number 181 is not a square of a whole number.
So, the square root of 181 must lie between two whole numbers.
Consider the following squares:
It is quite clear that the 181 lies between the square of 13 and 14.
So, it can be said that the square root of 181 is between the square of 13 and 14.
Thus, the length of the diagonal of a rectangle is between 13 and 14 inches.
The correct option is (B).
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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
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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