Answer:
It is the systematic random sampling
Step-by-step explanation:
I found this definition online on a khan academy website that will prove that the systematic random sampling is correct:
"Systematic random sample: Members of the population are put in some order. A starting point is selected at random, and every n^th member is selected to be in the sample."
Hope this helps!
<em>-</em><em>Karen</em>
Answer:
The solution of the inequality is a < 0.2870
Step-by-step explanation:
* Lets talk about the exponential function
- the exponential function is f(x) = ab^x , where b is a constant and x
is a variable
- To solve this equation use ㏒ or ㏑
- The important rule ㏒(a^n) = n ㏒(a) OR ㏑(a^n) = n ㏑(a)
* Lets solve the problem
∵ 13^4a < 19
- To solve this inequality insert ㏑ in both sides of inequality
∴ ㏑(13^4a) < ㏑(19)
∵ ㏑(a^n) = n ㏑(a)
∴ 4a ㏑(13) < ㏑(19)
- Divide both sides by ㏑(13)
∴ 4a < ㏑(19)/㏑(13)
- To find the value of a divide both sides by 4
∴ a < [㏑(19)/㏑(13)] ÷ 4
∴ a < 0.2870
* The solution of the inequality is a < 0.2870
Error = 1/2(Maximum range - Minimum range) = 1/2(3.2-1.1) = % = 0.0105
If p is the point estimator;
Then,
Minimum range = p - Error
Maximum range = p + Error
Solving one of the two expressions,
0.011 = p - 0.0105 => p = 0.011+0.0105 = 0.0215 = 2.15%
![[Hello,BrainlyUser]](https://tex.z-dn.net/?f=%5BHello%2CBrainlyUser%5D)
Answer:
[5] ![2x^2+xy+-3y^2](https://tex.z-dn.net/?f=2x%5E2%2Bxy%2B-3y%5E2)
[6] ![2x^3+-7x^2+-3x](https://tex.z-dn.net/?f=2x%5E3%2B-7x%5E2%2B-3x)
[7] ![4a+2b](https://tex.z-dn.net/?f=4a%2B2b)
[8] ![6x+2y-5](https://tex.z-dn.net/?f=6x%2B2y-5)
[9] ![x^2-3xy-10y+75](https://tex.z-dn.net/?f=x%5E2-3xy-10y%2B75)
Step-by-step explanation:
Let's start with [5]
![3x^2-2xy-2x^2-(x^2-3xy+y^2)](https://tex.z-dn.net/?f=3x%5E2-2xy-2x%5E2-%28x%5E2-3xy%2By%5E2%29)
Distribute the Negative Sign:
![=3x^2-2xy-2y^2-1(x^2-3xy+y^2)](https://tex.z-dn.net/?f=%3D3x%5E2-2xy-2y%5E2-1%28x%5E2-3xy%2By%5E2%29)
![=3x^2+-2xy+-2y^2+-1x^2+-1(-3xy)+-1y^2](https://tex.z-dn.net/?f=%3D3x%5E2%2B-2xy%2B-2y%5E2%2B-1x%5E2%2B-1%28-3xy%29%2B-1y%5E2)
![=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2](https://tex.z-dn.net/?f=%3D3x%5E2%2B-2xy%2B-2y%5E2%2B-x%5E2%2B3xy%2B-y%5E2)
Combine like term
![=3x^2+-2xy+-2y^2+-x^2+3xy+-y^2](https://tex.z-dn.net/?f=%3D3x%5E2%2B-2xy%2B-2y%5E2%2B-x%5E2%2B3xy%2B-y%5E2)
![=(3x^2+-1x^2)+(-2xy+3xy)+(-2y^2+-y^2)](https://tex.z-dn.net/?f=%3D%283x%5E2%2B-1x%5E2%29%2B%28-2xy%2B3xy%29%2B%28-2y%5E2%2B-y%5E2%29)
![=2x^2+xy+-3y^2](https://tex.z-dn.net/?f=%3D2x%5E2%2Bxy%2B-3y%5E2)
Answer = ![2x^2+xy+-3y^2](https://tex.z-dn.net/?f=2x%5E2%2Bxy%2B-3y%5E2)
-------------------------------------------------------------------------------------------------------------
[6] ![\left(2x^3-5x^2-3x\right)-2x^2](https://tex.z-dn.net/?f=%5Cleft%282x%5E3-5x%5E2-3x%5Cright%29-2x%5E2)
Combine like terms
![\left(2x^3-5x^2-3x\right)-2x^2](https://tex.z-dn.net/?f=%5Cleft%282x%5E3-5x%5E2-3x%5Cright%29-2x%5E2)
![=(2x^2)+(-5x^2+-2x^2)+(-3x)](https://tex.z-dn.net/?f=%3D%282x%5E2%29%2B%28-5x%5E2%2B-2x%5E2%29%2B%28-3x%29)
![=2x^3+-7x^2+-3x](https://tex.z-dn.net/?f=%3D2x%5E3%2B-7x%5E2%2B-3x)
Answer = ![2x^3+-7x^2+-3x](https://tex.z-dn.net/?f=2x%5E3%2B-7x%5E2%2B-3x)
------------------------------------------------------------------------------------------------------------- [7] ![4a-(3a-2b)+3a](https://tex.z-dn.net/?f=4a-%283a-2b%29%2B3a)
![=4a+-3a+2b+3a](https://tex.z-dn.net/?f=%3D4a%2B-3a%2B2b%2B3a)
Combine like terms:
![=(4a+-3a+3a)+(2b)](https://tex.z-dn.net/?f=%3D%284a%2B-3a%2B3a%29%2B%282b%29)
![=4a+2b](https://tex.z-dn.net/?f=%3D4a%2B2b)
Answer = ![4a+2b](https://tex.z-dn.net/?f=4a%2B2b)
-------------------------------------------------------------------------------------------------------------
[8] ![\left[3x-\left[x-4x+2y\right)+4y\right]-5](https://tex.z-dn.net/?f=%5Cleft%5B3x-%5Cleft%5Bx-4x%2B2y%5Cright%29%2B4y%5Cright%5D-5)
![3x-(-3x-2y+4y)-5](https://tex.z-dn.net/?f=3x-%28-3x-2y%2B4y%29-5)
![=3x-(-3x+2y)-5](https://tex.z-dn.net/?f=%3D3x-%28-3x%2B2y%29-5)
![=3x+3x-2y-5](https://tex.z-dn.net/?f=%3D3x%2B3x-2y-5)
![=6x-2y-5](https://tex.z-dn.net/?f=%3D6x-2y-5)
Answer = ![6x-2y-5](https://tex.z-dn.net/?f=6x-2y-5)
-------------------------------------------------------------------------------------------------------------
[9] ![x^2-3xy+5\left\{2+\left[y-3\left(y-6\right)-5\right]\right\}](https://tex.z-dn.net/?f=x%5E2-3xy%2B5%5Cleft%5C%7B2%2B%5Cleft%5By-3%5Cleft%28y-6%5Cright%29-5%5Cright%5D%5Cright%5C%7D)
Combine likes terms
![x^2-3xy-10y+75](https://tex.z-dn.net/?f=x%5E2-3xy-10y%2B75)
Answer = ![x^2-3xy-10y+75](https://tex.z-dn.net/?f=x%5E2-3xy-10y%2B75)
[CloudBreeze]