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 product is 7/2. Hope that helps
<h2>
Answer:</h2>
$52.63
<h2>
Step-by-step explanation:</h2>
To find 20% of $43.86 we multiply $43.86 by 0.2
$43.86 • 0.2 = $8.772
Now add $43.86 and $8.772 to find out how much the family paid altogether.
$43.86 + $8.772 = $52.632
In money the smallest place value is cents so we have to round to the hundredths place.
Doing this we get the grand answer of:
$52.63
Answer:
m∠SRT = 33° ∵ m∠QRT = m∠SRT
Step-by-step explanation:
Given the diagram,
RT bisects ∠SRQ, and m∠QRT = 33°
RT bisecting ∠SRQ means RT will bisect ∠SRQ into two equal angles, which are:
m∠QRT = m∠SRT
as
m∠QRT = 33°
so
m∠SRT = 33° ∵ m∠QRT = m∠SRT
