Using the combination formula, it is found that the number of different simple random samples of size 3 that can be selected from this population is:
b. 56.
The order in which the items are selected is not important, hence the <em>combination formula</em> is used to solve this question.
<h3>What is the combination formula?</h3>
is the number of different combinations of x objects from a set of n elements, given by:
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
In this problem, 3 items are chosen from a set of 8, hence:
![C_{8,3} = \frac{8!}{3!5!} = 56](https://tex.z-dn.net/?f=C_%7B8%2C3%7D%20%3D%20%5Cfrac%7B8%21%7D%7B3%215%21%7D%20%3D%2056)
Hence option b is correct.
More can be learned about the combination formula at brainly.com/question/25821700
Answer:
C) 22
Step-by-step explanation:
I have set up an equation based off of what Abraham said.
![(n*4)+12=100\\\\4n+12=100\\\\4n+12-12=100-12\\\\4n=88\\\\\frac{4n=88}{4}\\\\\boxed{n=22}](https://tex.z-dn.net/?f=%28n%2A4%29%2B12%3D100%5C%5C%5C%5C4n%2B12%3D100%5C%5C%5C%5C4n%2B12-12%3D100-12%5C%5C%5C%5C4n%3D88%5C%5C%5C%5C%5Cfrac%7B4n%3D88%7D%7B4%7D%5C%5C%5C%5C%5Cboxed%7Bn%3D22%7D)
The number should be 22.
Hope this helps.
Hope this helps.
Answer:
Y-x=0
i got it right on the lesson
Percent change is 100%
Step-by-step explanation:
- Step 1: Find the perimeter of the first garden when length = 6 ft and width = 4 ft
Perimeter = 2 (length + width)
= 2 (6 + 4) = 2 × 10 = 20 ft
- Step 2: Find the perimeter of the second garden when length = 12 ft and width = 8 ft (∵ dimensions are doubled)
Perimeter = 2 (12 + 8) = 2 × 20 = 40 ft
- Step 3: Find the percent change in perimeter
Percent Change = Final value - initial value/Initial Value × 100
= (40 - 20/20) × 100
= 1 × 100 = 100%
Hi there! The answer is A. miles
We can find the miles someone would run during the marathon, by using the formula for the perimeter. This is:
2 × width + 2 x length.
Filling in this formula learns us that the distance that is run is measured in miles. The answer is A.