9514 1404 393
Answer:
112 ft²
Step-by-step explanation:
The shaded area is the difference of the areas of the outside rectangle and the inside rectangle. Each of those areas is the product of the rectangle dimensions.
shaded area = (14')(12') -(8')(7') = (14')(12') -(14')(4') = (14')(12' -4')
shaded area = 112 ft²
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 <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:
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:
About 75 batteries each day are defective.
More can be learned about the binomial distribution at brainly.com/question/14424710
Answer:
x=3
Step-by-step explanation:
We are taking 2 times the sum ( addition) of 18 and x
2 ( 18+x) = 42
Divide each side by 2
2 /2 ( 18+x) = 42/2
18+x = 21
Subtract 18 from each side
18+x-18 = 21-18
x = 3
Answer:
3(f - 9)(f + 4)
Step-by-step explanation:
Assuming you require to factorise the expression
3f² - 15f - 108 ← factor out 3 from each term
= 3(f² - 5f - 36) ← factor the quadratic
Consider the factors 0f the constant term (- 36) which sum to give the coefficient of the f- term (- 5)
The factors are - 9 and + 4 , since
- 9 × 4 = - 36 and - 9 + 4 = - 5 , then
f² - 5f - 36 = (f- 9)(f + 4)
Then
3f² - 15f - 108 = 3(f - 9)(f + 4)
Answer:
32%
Step-by-step explanation:
P(G/S) = P(G&S)/P(S)
= (0.32×0.5)/0.5
= 0.32
32%