Using the binomial distribution, it is found that about 75 batteries each day are defective.
For each battery, there are only two possible outcomes, either it is defective, or it is not. The probability of a battery being defective is independent of any other battery, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial probability distribution?</h3>
It is the probability of exactly <u>x successes on n repeated trials, with p probability</u> of a success on each trial.
The expected value of the binomial distribution is:
In this problem:
- 3 out of 20 batteries are defective, hence p = 3/20 = 0.15.
- Each day, 500 batteries are produced, hence n = 500.
Then, the expected number of defective batteries in a day is given by:
E(X) = np = 500(0.15) = 75.
More can be learned about the binomial distribution at brainly.com/question/14424710
Answer:
$58.85
Step-by-step explanation:
Take 7% out of 55 and add it to the total.
75.2 is already rounded to the nearest tenth, if you meant tens it's 80
Answer:
Explain in a file that is easy
Answer:
x = 10
Step-by-step explanation:
In a triangle, PR is 12 more than twice PQ and If all three sides of the triangle have integer lengths, what is the largest possible value of x?
From the attached diagram, x = PQ
We have sides:
PQ, PR and QR
PR is 12 more than twice PQ
PR = 12 + 2PQ
PR = 12 + 2x
QR is two more than 4 times PQ.
QR = 2 + 4(PQ)
QR = 2 + 4x
Hence: we solve using Triangle Inequality
The triangle inequality states that the sum of the lengths of two sides of a triangle must be greater than the length of the third side.
Based on this property, if you know the lengths of two sides of a triangle and are trying to find the range of lengths of the third side, you can add the two known side lengths together and subtract the smaller one from the bigger one. The third side must be greater than the sum of the other two sides and less than their difference.
PQ > PR + QR
PQ < PR - QR
Therefore:
x + 12 + 2x > 2 + 4x
3x + 12 > 2 + 4x
12 - 2 > 4x - 3x
10 = x
