Answer: Hence, Option (6) and (8) are correct as their value is also "-8".
Step-by-step explanation:
Since we have given that
![\frac{2}{3}(6x+12)=-24](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%286x%2B12%29%3D-24)
First we need to solve to get the value of 'x' :
![\frac{2}{3}(6x+12)=-24\\\\6x+12=\frac{3}{2}\times (-24)\\\\6x+12=3\times (-12)\\\\6x+12=-36\\\\6x=-36-12\\\\6x=-48\\\\x=\frac{-48}{6}\\\\x=-8](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%286x%2B12%29%3D-24%5C%5C%5C%5C6x%2B12%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%20%28-24%29%5C%5C%5C%5C6x%2B12%3D3%5Ctimes%20%28-12%29%5C%5C%5C%5C6x%2B12%3D-36%5C%5C%5C%5C6x%3D-36-12%5C%5C%5C%5C6x%3D-48%5C%5C%5C%5Cx%3D%5Cfrac%7B-48%7D%7B6%7D%5C%5C%5C%5Cx%3D-8)
Therefore, x=-8
Now, we will check all the options :
1) 4x+8=24
![4x+8=24\\\\4x=24-8\\\\4x=16\\\\x=\frac{16}{4}=4](https://tex.z-dn.net/?f=4x%2B8%3D24%5C%5C%5C%5C4x%3D24-8%5C%5C%5C%5C4x%3D16%5C%5C%5C%5Cx%3D%5Cfrac%7B16%7D%7B4%7D%3D4)
2) 9x+18=-24
![9x+18=-24\\\\9x=-24-18\\\\9x=-42\\\\x=-4.67](https://tex.z-dn.net/?f=9x%2B18%3D-24%5C%5C%5C%5C9x%3D-24-18%5C%5C%5C%5C9x%3D-42%5C%5C%5C%5Cx%3D-4.67)
3) 4x+12=-24
![4x+12=-24\\\\4x=-24-12\\\\4x=-36\\\\x=\frac{-36}{4}=-9](https://tex.z-dn.net/?f=4x%2B12%3D-24%5C%5C%5C%5C4x%3D-24-12%5C%5C%5C%5C4x%3D-36%5C%5C%5C%5Cx%3D%5Cfrac%7B-36%7D%7B4%7D%3D-9)
4) 18x+36/2=-24
![18x+18=-24\\\\18x=-24-18\\\\18x=-42\\\\x=-2.34](https://tex.z-dn.net/?f=18x%2B18%3D-24%5C%5C%5C%5C18x%3D-24-18%5C%5C%5C%5C18x%3D-42%5C%5C%5C%5Cx%3D-2.34)
5) 4x=-36
![x=\frac{-36}{4}=-9](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-36%7D%7B4%7D%3D-9)
6) 4x=-32
![x=\frac{-32}{4}=-8](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-32%7D%7B4%7D%3D-8)
7) x=-9
8) x=-8
Hence, Option (6) and (8) are correct as their value is also "-8".
Answer: simple random sampling
Step-by-step explanation:
In statistics, when a subset of individuals known as sample chosen from a population by a random selection of individuals such that the chances of selecting each individual is same, then the sampling method is called simple random sampling method.
Given: To assess the learning outcomes of a Statistic course, 5 students are chosen at random from each of the 30 Statistics classes.
here chances for selectin students is same.
The sampling method used here : " simple random sampling "
For 12 number of shirts would the cost be the same
<u>Solution:</u>
Given, Some students want to rider shirts with their school logo.
Let the number of shirts taken be "n"
One company charges $9.65 per shirt plus a setup fee of $43.
![\text { Then, total cost }=43+9.65 \times n](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Then%2C%20total%20cost%20%7D%3D43%2B9.65%20%5Ctimes%20n)
⇒ Total cost = 9.65n + 43
Another company charges $8.40 per shirt plus a $58 setup fee.
![\text { Then, total cost }=58+8.40 \times n](https://tex.z-dn.net/?f=%5Ctext%20%7B%20Then%2C%20total%20cost%20%7D%3D58%2B8.40%20%5Ctimes%20n)
⇒ Total cost = 8.4n + 58
We have to find for what number of shirts would the cost be the same?
So, we have to equate both the total costs
![\begin{array}{l}{\rightarrow 9.65 n+43=8.4 n+58} \\\\ {\rightarrow 9.65 n-8.4 n=58-43} \\\\ {\rightarrow 1.25 n=15} \\\\ {\rightarrow n=12}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Crightarrow%209.65%20n%2B43%3D8.4%20n%2B58%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%209.65%20n-8.4%20n%3D58-43%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%201.25%20n%3D15%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%20n%3D12%7D%5Cend%7Barray%7D)
Hence, students has to take 12 shirts for the cost to be same
Answer:
C
Step-by-step explanation:
The answer is C both the cube and rectangular prisms have 12 edges. We can tell the first two are wrong because both have 6 sides. We can tell the last one is wrong by counting. Both shapes have over 6 edges.
Hello There!
Percentage multipliers can be used.
Multiplier = 100 + 6 = 106 = 1.06
130000 x 1.06^10 = $232810.20
Hope This Helps You!
Good Luck :)
- Hannah ❤