<span>INFERENTIAL STATISTICS uses a sample data from a portion of
the whole population in order to draw a sound result from them and assume that
the result is based on the whole population. For example, in a population of
100 only 10 of the children can be picked from the population pool and be
conducted with the study. The result of the study is automatically inferred as
judgment that is probable and accurate. For example, if in a sample of 10, 3
out of 10 children are malnourished, it is automatically applied that 30 out of
the 100 children are malnourished. </span>
the answer is brainlyihgungh
Answer:
Step-by-step explanation:
Left figure:
area of rectangle = 4×6 = 24 cm²
area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4 = 12 cm²
area of shape = 24+12 = 36 cm²
Right figure:
area of rectangle = 6×8 = 48 m²
area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²
area of shape = 48+8 = 56 m²
Greetings!
"<span>If x equals 3 and z equals 4, find the value of y in the equation: </span>
![12xy-6x=18z.](https://tex.z-dn.net/?f=12xy-6x%3D18z.)
"
Input the value of the variables we were given:
![12(3)y-6(3)=18(4)](https://tex.z-dn.net/?f=12%283%29y-6%283%29%3D18%284%29)
Simplify.
![36y-18=72](https://tex.z-dn.net/?f=36y-18%3D72)
Add
18 to both sides.
![(36y-18)+18=(72)+18](https://tex.z-dn.net/?f=%2836y-18%29%2B18%3D%2872%29%2B18)
Simplify.
![36y=90](https://tex.z-dn.net/?f=36y%3D90)
Divide both sides by
36.
![(36y)/36=(90)/36](https://tex.z-dn.net/?f=%2836y%29%2F36%3D%2890%29%2F36)
Simplify.
![y=5/2](https://tex.z-dn.net/?f=y%3D5%2F2)
![y=2.5](https://tex.z-dn.net/?f=y%3D2.5)
The variable,
y is
equal to
2.5.
Hope this helps.
-Benjamin
<h2>
Converting Words into Equations</h2>
We can convert word problems into equations by translating key terms into operations:
- <em>sum</em> = we add
- <em>difference</em> = we subtract
- <em>twice</em> = multiply by 2
- <em>is</em> = equals
<h2>Solving the Question</h2>
We're given:
- sum of two numbers is 5
- difference between the first number and twice the second number is 29
Let the first number be <em>a</em> and the second number be <em>b.</em>
Translate the words into numbers:
- <u>sum</u> of two numbers <u>is</u> 5
![a+b=5](https://tex.z-dn.net/?f=a%2Bb%3D5)
- <u>difference</u> between the first number and <u>twice</u> the second number <u>is</u> 29
![a-2b=29](https://tex.z-dn.net/?f=a-2b%3D29)
Subtract the second equation from the first to isolate <em>b</em>:
![(a+b)-(a-2b)\\=a+b-a+2b\\=b+2b\\=3b](https://tex.z-dn.net/?f=%28a%2Bb%29-%28a-2b%29%5C%5C%3Da%2Bb-a%2B2b%5C%5C%3Db%2B2b%5C%5C%3D3b)
![5-29\\=-24](https://tex.z-dn.net/?f=5-29%5C%5C%3D-24)
![3b=-24\\b=-8](https://tex.z-dn.net/?f=3b%3D-24%5C%5Cb%3D-8)
Therefore <em>b</em> is -8.
Substitute <em>b</em> back into the first equation to find <em>a</em>:
![a+b=5\\a-8=5\\a=13](https://tex.z-dn.net/?f=a%2Bb%3D5%5C%5Ca-8%3D5%5C%5Ca%3D13)
Therefore, <em>a</em> is 13.
<h2>Answer</h2>
<em>a</em> = 13
<em>b</em> = -8