Answer:
Draw it with 9 cm for length and width.
Step-by-step explanation:
The product is the maximum area when the length and width are as close as possible, or equal to each other. Because length and width are 2 sides each, we can divide 36 by 4, which is 9.
9x9 = 81 cm^2. This is the largest area possible.
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 .
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
Answer:
<h2>
width = 3 feet</h2>
Step-by-step explanation:
Let h be the height of the door
and w be its width
The statement “The height of the door is I foot more than twice its width”
can be translated mathematically like this : h = 2w + 1
Let’s solve the equation for w:
h = 2w + 1
⇔ 2w = h - 1
now , if the door is 7 feet high then it’s width is equal to :
0.05, 0.5, 5/8
5/8 is greater than 0.5 since 0.5 = 1/2 which equals 4/8