Using the binomial distribution, it is found that they would expect to find 240 dead batteries among the entire 12,000.
For each battery, there are only two possible outcomes, either it was dead or it was not. The probability of a battery being dead is independent of any other battery, hence the binomial distribution is used to solve this question.
<h3>What is the binomial probability distribution?</h3>
It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
E(X) = np
In this problem, we have that:
- One in 50 batteries are dead, hence p = 1/50 = 0.02.
- There is a total of 12,000 batteries, hence n = 12000.
Then:
E(X) = np = 12000(0.2) = 240
They would expect to find 240 dead batteries among the entire 12,000.
You can learn more about the binomial distribution at brainly.com/question/24863377
The first box is "none of these" since it is not a vertical angle, is not an adjacent angles, and is not a linear pair, the second box is vertical angles
9514 1404 393
Answer:
2. chord theorem; t = 10.5
3. chord theorem; x = 5
Step-by-step explanation:
For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.
2. 20t = 10·21
t = 210/20 . . . . divide by 20
t = 10.5 . . . . . . . simplify
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3. 10(x +4) = 15(x +1)
10x +40 = 15x +15 . . . . . eliminate parentheses
25 = 5x . . . . . . . . . . . . . subtract 10x+15
5 = x . . . . . . . divide by 5
Answer:
C is the correct answer
Step-by-step explanation:
C. 100 because a quadrilateral must add up to 360. :)
