Answer:
Two sample t procedure
Step-by-step explanation:
The two sample t test is used when want to test for equality between two population means. It tests whether the means of the two groups are equal or not equal.
We use this to analyse this information in this question because we do not have data available for the population standard deviation. Also we are to test for the significant difference between the two different groups of participants
we are given
![\sqrt{144}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D)
Firstly, we will find all possible factors of 144
![144=2\times 2\times 2\times 2\times 3\times 3](https://tex.z-dn.net/?f=144%3D2%5Ctimes%202%5Ctimes%202%5Ctimes%202%5Ctimes%203%5Ctimes%203)
we can also write as
![144=(2\times 2)^2\times (3)^2](https://tex.z-dn.net/?f=144%3D%282%5Ctimes%202%29%5E2%5Ctimes%20%283%29%5E2)
now, we can put exponent to over entire term
![144=(2\times 2\times 3)^2](https://tex.z-dn.net/?f=144%3D%282%5Ctimes%202%5Ctimes%203%29%5E2)
now, we can replace 144
![\sqrt{144}=\sqrt{(2\times 2\times 3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%5Csqrt%7B%282%5Ctimes%202%5Ctimes%203%29%5E2%7D)
now, sqrt will get cancelled with square
and we get
![\sqrt{144}=(2\times 2\times 3)](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%282%5Ctimes%202%5Ctimes%203%29)
now, we can simplify it
![\sqrt{144}=(4\times 3)](https://tex.z-dn.net/?f=%5Csqrt%7B144%7D%3D%284%5Ctimes%203%29)
.............Answer
Answer:
False, False, A. 180
Step-by-step explanation:
A flat line is 180 degrees. A right isosceles triangle has one right angle. None of the sides on a scalene triangle are the same.
Answer:
1- Inverses .
2 - Not inverses.
Step-by-step explanation:
Notice that
1 -
![f(g(x))= 3/(3/x) = (3x)/3 = x](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%203%2F%283%2Fx%29%20%3D%20%283x%29%2F3%20%20%3D%20x)
Since their composition is the identity, then they are inverses.
2 -
![f(g(x)) = ((-x+4)+4) = -x+8](https://tex.z-dn.net/?f=f%28g%28x%29%29%20%3D%20%28%28-x%2B4%29%2B4%29%20%3D%20-x%2B8)
Since their composition is not the identity, then they are not inverses.
Answer:
The diagonal is 6.7082 ≈ 6.71
Step-by-step explanation:
Let the diagonal be x :
<em>To find the diagonal of a 3 by 6 rectangle</em>
<em>We can use the Pythagorean Theorem:</em>
![x^{2} = 3^{2} + 6^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%203%5E%7B2%7D%20%2B%206%5E%7B2%7D)
⇒ ![x^{2} = 9 +36](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%209%20%2B36)
⇒ ![x^{2} = 45](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%2045)
⇒ ![x=\sqrt{45}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B45%7D)
∴
≈
(corrected to 2 d.p.)