Answer:
2
Step-by-step explanation:
Because the people were randomly assigned to one of the two groups, there is a randomness to both groups making them the same. The group that doesn't get the cream is a control group so any differences observed between the control and the group being tested would be due to the cream.
Answer:
![(4f)^3 = 64*f^3](https://tex.z-dn.net/?f=%284f%29%5E3%20%3D%2064%2Af%5E3)
![(-\frac{3}{2}t^2)^2 = \frac{9}{4}t^4](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2%20%3D%20%5Cfrac%7B9%7D%7B4%7Dt%5E4)
Step-by-step explanation:
Solving (a):
![(4f)^3](https://tex.z-dn.net/?f=%284f%29%5E3)
Apply law of indices:
![x^3 = x * x * x](https://tex.z-dn.net/?f=x%5E3%20%3D%20x%20%2A%20x%20%2A%20x)
So, we have:
![(4f)^3 = 4f * 4f * 4f](https://tex.z-dn.net/?f=%284f%29%5E3%20%3D%204f%20%2A%204f%20%2A%204f)
Rewrite as:
![(4f)^3 = 4 * 4 * 4*f*f*f](https://tex.z-dn.net/?f=%284f%29%5E3%20%3D%204%20%2A%204%20%2A%204%2Af%2Af%2Af)
![(4f)^3 = 64*f^3](https://tex.z-dn.net/?f=%284f%29%5E3%20%3D%2064%2Af%5E3)
Solving (b):
![(-\frac{3}{2}t^2)^2](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2)
Apply law of indices:
![x * x = x^2](https://tex.z-dn.net/?f=x%20%2A%20x%20%3D%20x%5E2)
So, we have:
![(-\frac{3}{2}t^2)^2 = (-\frac{3}{2}t^2) * (-\frac{3}{2}t^2)](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2%20%3D%20%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%20%2A%20%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29)
Remove brackets
![(-\frac{3}{2}t^2)^2 = -\frac{3}{2}t^2 * -\frac{3}{2}t^2](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2%20%3D%20-%5Cfrac%7B3%7D%7B2%7Dt%5E2%20%2A%20-%5Cfrac%7B3%7D%7B2%7Dt%5E2)
Rewrite as:
![(-\frac{3}{2}t^2)^2 = -\frac{3}{2}*-\frac{3}{2}*t^2 * *t^2](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2%20%3D%20-%5Cfrac%7B3%7D%7B2%7D%2A-%5Cfrac%7B3%7D%7B2%7D%2At%5E2%20%2A%20%2At%5E2)
![(-\frac{3}{2}t^2)^2 = \frac{3}{2}*\frac{3}{2}*t^4](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2%20%3D%20%5Cfrac%7B3%7D%7B2%7D%2A%5Cfrac%7B3%7D%7B2%7D%2At%5E4)
![(-\frac{3}{2}t^2)^2 = \frac{9}{4}*t^4](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2%20%3D%20%5Cfrac%7B9%7D%7B4%7D%2At%5E4)
![(-\frac{3}{2}t^2)^2 = \frac{9}{4}t^4](https://tex.z-dn.net/?f=%28-%5Cfrac%7B3%7D%7B2%7Dt%5E2%29%5E2%20%3D%20%5Cfrac%7B9%7D%7B4%7Dt%5E4)
Answer:
Hi there!
Your answer is:
996 students were apart of this survey!
Step-by-step explanation:
3 out of 4 students means that 75% of students prefer the assemblies be held on Friday.
If 75% = 747 students then:
/75
1% = 9.96 students
×100
100% = 996 students
I hope this makes sense!
Answer:
-12
Step-by-step explanation:
first we collect like terms then
z=-21-(-9)
z=-21+9
z=_12