Answer:
The decision made by the researcher based on this information is to reject the null hypothesis.
Step-by-step explanation:
Two-tailed hypothesis test:
Critical value: ![z_c](https://tex.z-dn.net/?f=z_c)
Test statistic: z
If
, we do not reject the null hypothesis.
If
, we reject the null hypothesis.
In this question:
![z_c = 1.96, z = -2.05, |z| = 2.05](https://tex.z-dn.net/?f=z_c%20%3D%201.96%2C%20z%20%3D%20-2.05%2C%20%7Cz%7C%20%3D%202.05)
Since
, we reject the null hypothesis.
The decision made by the researcher based on this information is to reject the null hypothesis.
Let's see what to do buddy...
_________________________________
Step (1)
We know that the sum of the interior angles of any n-sided figure is obtained from the following equation :
![(n - 2) \times 180](https://tex.z-dn.net/?f=%28n%20-%202%29%20%5Ctimes%20180)
Our figure has 5 sides ;
So , sume the interior angles of it equals :
![(5 - 2) \times 180 = 3 \times 180 = 540 \\](https://tex.z-dn.net/?f=%285%20-%202%29%20%5Ctimes%20180%20%3D%203%20%5Ctimes%20180%20%3D%20540%20%5C%5C%20)
_________________________________
Step (2)
First look at the photo which I post.
According it we have :
![(180 - x) + 120 + 85 + (2x - 10) + 90 = 540 \\](https://tex.z-dn.net/?f=%28180%20-%20x%29%20%2B%20120%20%2B%2085%20%2B%20%282x%20-%2010%29%20%2B%2090%20%3D%20540%20%5C%5C%20)
![2x - x + 475 - 10 = 540](https://tex.z-dn.net/?f=2x%20-%20x%20%2B%20475%20-%2010%20%3D%20540)
![x + 465 = 540](https://tex.z-dn.net/?f=x%20%2B%20465%20%3D%20540)
Subtract the sides of the equation minus 465 :
![x = 540 - 465](https://tex.z-dn.net/?f=x%20%3D%20540%20-%20465)
![x = 75](https://tex.z-dn.net/?f=x%20%3D%2075)
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Lime m is neither because it does not have the opposite reciprocal nor same slope.
Line n is perpendicular because it has the opposite reciprocal.
Line p is neither because it does not have the opposite reciprocal nor same slope.
Line q is parallel because it has the same slope.
Multiply both sides by y...
(3/y)y-(6/y)y-2y
Simplify it...
(3/y)y=3
(6/y)y=6
3=6-2y
Subtract 6 from both sides...
-2y=-3
Divide both sides by -2...
y=3/2
The solution is y=3/2
Is this algebra? What type of Math this