Answer:
z=-1.591
Step-by-step explanation:
Null Hypotheses,
![H_0 : p=0.8\\H_a: p>0.80](https://tex.z-dn.net/?f=H_0%20%3A%20p%3D0.8%5C%5CH_a%3A%20p%3E0.80)
So we use z-test for one population proportion (right-tailed test)
According to this informaton, we defined that
![\alpha=0.05](https://tex.z-dn.net/?f=%5Calpha%3D0.05)
(critical value)
So our Rejection region is ![R={z:z>1.64}](https://tex.z-dn.net/?f=R%3D%7Bz%3Az%3E1.64%7D)
![z=\frac{\bar{p}-p_0}{\sqrt{p_0(1-p_0)/n}} = \frac{0.755-0.8}{\sqrt{0.8(1-0.8)/200}}=-1.591](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B%5Cbar%7Bp%7D-p_0%7D%7B%5Csqrt%7Bp_0%281-p_0%29%2Fn%7D%7D%20%3D%20%5Cfrac%7B0.755-0.8%7D%7B%5Csqrt%7B0.8%281-0.8%29%2F200%7D%7D%3D-1.591)
Not rejection.
Answer:
x = 7
Step-by-step explanation:
Lets do the brackets first,
6 × 2x = 12
6 × -11 = -66
------
Calculate the x constant:
12x - 3x = 9x
-------
Then the ones with no x:
-66 + 15 = -51
51 + 12 = 63
-------
Lastly, divide
63 ÷ 9 = 7
-------
Have a good day :)
Refer to the diagram below
If we draw a line that connects the center of rotation to one of the points, say point N, and take this line as the 0° position, then we need three 'turn' of 90° to get to 270°.
Coordinate of N' (-3, 4)
Coordinate of M' (-9, 5)
The answer is d because the perimeter of 6 by 6 would be 24 and that is the smallest perimeter.