Simple random selection involves a selection where all the elements in the dataset have the same chance of being selected.
The selected names are:
<em>Engler, Motola, Redmond and Zenkel</em>
We have:
--- All names
---- Sample to select
There are several ways to select a sample of 4 using a simple random sample. Some ways are:
- <em>Select any 4</em>
- <em>List all names in even position and select the first 4</em>
- <em>List all names in position divide by 4 and select any 4 that is divided by 8</em>
- <em>List all names in odd position and select the first 4 that can be divided by 3</em>
- <em>Etc</em>
<em />
Going by the third method, the selected positions are:
4, 8, 12, 16, 20, 24, 28 and 32
Select 4 positions that can be divided by 8
8, 16, 24 and 32
So, the selected names are:
<em>Engler, Motola, Redmond and Zenkel</em>
Read more about random selection at:
brainly.com/question/20692763
An outlier is a number that is much higher or much lower than all others.
The answer in this case should be 65 since all other scores range from 88-98. 33 is incorrect because it doesn't even appear in the set of data.
Answer with explanation:
Two Quadratic expressions are said to be equivalent,if they have same zeroes.But here it has been asked about ,expression which are of the same form,means Instead of being congruent they should be similar.
Expression Equivalent Expression
1. x²+ 3 x + 15 ---------------------- x² + 6 x + 34
2. x² + 8 --------------------- x² + 16
3. x² - 5 x + 5 -------------- x² -12 x + 37
Let's call Maura's age now M and Cara's age now C.
We know Maura is five years younger than Cara. In symbols that is, M - 5 = C
We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols:
Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:
Cara is 17. Since Maura is 5 years younger she is 12.
As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.
Answer:
2/3 (0,-3) is one possible answer.
Step-by-step explanation:
y -1 = 2/3(x-6) We want to get this into the slope intercept form of a line. We want it to be in the form y = mx + b. Let's clear the fraction first by multiplying the whole equation through by 3.
3(y - 1) = 3[2/3(x - 6)]
3y -3 = 2(x -6)
3y - 3 = 2x -12
3y = 2x - 9 Now divide all the way through by 3 to get
y = 2/3x - 3
y = mx + b. The m part is the slope. In this equation the slope is 2/3
There are in infinite amount of points on a line. I do not know if they give you a picture or if you are just to create your own. I am going to create a point that have x = 0. I get to pick the point. I could pick any number. 0 is just usually really easy. So, if I substitute 0 for x I will get:
y = 2/3(0) - 3
y = 1 so my point is (0,-3)
Now that I think about it, I do not think that I would start out clearing the fraction even though it works. I think that I would do it like this"
y - 1 = 2/3(x - 6) Distribute the 2/3 through (x - 4) to get
y-1 = 2/3x -4 I can make -6 a fraction by putting it over 1. Now we have 2/3(-6/1) multiply across to get -12/3. A positive times a negative is a negative. -12 divided by 3 is -4.
y - 1 = 2/3x -4 now add 1 to both sides.
y = 2/3x -3
