The answer I got was The third one
Answer:
4.0486
Step-by-step explanation:
The margin of error is calculated using ![E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }](https://tex.z-dn.net/?f=E%3Dz_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D)
Where n=60 is the sample size and
is the population standard deviation.
The critical value corresponding to 95% confidence interval is ![z_{\frac{\alpha}{2}}=1.96](https://tex.z-dn.net/?f=z_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%7D%3D1.96)
We substitute the values to obtain;
![E=1.96*\frac{16}{\sqrt{60} }](https://tex.z-dn.net/?f=E%3D1.96%2A%5Cfrac%7B16%7D%7B%5Csqrt%7B60%7D%20%7D)
![E=1.96*2.06559=4.0486](https://tex.z-dn.net/?f=E%3D1.96%2A2.06559%3D4.0486)
Answer:
-6y + 6 = -2(3y - 3)
Step-by-step explanation:
-6y + 6 = -2(3y - 3)
-6y + 6 = -6y + 6
Therefore, the equation has infinitely many solutions.
Answer:
No, it is not a square
Step-by-step explanation:
If one wall is 19", that would mean the wall perpendicular to this wall is also 19" (in fact all of the walls would be 19"!) If this was a square, then the diagonal we draw at 20.62" would serve as the hypotenuse of a right triangle. One wall would serve as a leg, and another wall as another leg. If this is a square, then the Pythagorean's Theorem would be satisfied when we plug in the 2 wall measures for a and b, and the diagonal for c:
![19^2+19^2=20.62^2](https://tex.z-dn.net/?f=19%5E2%2B19%5E2%3D20.62%5E2)
We need to see if this is a true statement. If the left side equals the right side, then the 2 legs of the right triangle are the same length, and the room, then is a square.
361 + 361 = 425.1844
Is this true? Does 722 = 425.1844? Definitely not. That means that the room is not a square.
N would equal 28 since 60-32 is 28