The dotted line ..........
Answer:
No
Step-by-step explanation:
One way to tell if a number is rational is if it can be written as a fraction. Anything that can be written as a fraction of two integers is rational.
-6/11 is a fraction with integer numerators and denominators.
Therefore it is rational.
Answer:
a)n=543
b)n=1509
c)n=13573
Step-by-step explanation:
a)
c=98%,
![E=0.05](https://tex.z-dn.net/?f=E%3D0.05)
Margin Error ![E=Zα/2√p(1-p)/n](https://tex.z-dn.net/?f=E%3DZ%CE%B1%2F2%E2%88%9Ap%281-p%29%2Fn)
but ![n=((Zα/2)/n)²×p(1-p)](https://tex.z-dn.net/?f=n%3D%28%28Z%CE%B1%2F2%29%2Fn%29%C2%B2%C3%97p%281-p%29)
where the confidence level is 1-α=0.98
cross multiply
![Zα/2=2.33](https://tex.z-dn.net/?f=Z%CE%B1%2F2%3D2.33)
where p=0.5
input the values
![n=(2.33/0.55)²×0.5(1-0.5)=543](https://tex.z-dn.net/?f=n%3D%282.33%2F0.55%29%C2%B2%C3%970.5%281-0.5%29%3D543)
n=0.33
b) E=0.33
![E=Zα/2√p(1-p)/n](https://tex.z-dn.net/?f=E%3DZ%CE%B1%2F2%E2%88%9Ap%281-p%29%2Fn)
![n=((Zα/2)/n)²×p(1-p)](https://tex.z-dn.net/?f=n%3D%28%28Z%CE%B1%2F2%29%2Fn%29%C2%B2%C3%97p%281-p%29)
confidence level
n=(2.33/0.33)²×0.5(1-0.5)=1504
![n=1504](https://tex.z-dn.net/?f=n%3D1504)
c) ![E=Zα/2√p(1-p)/n](https://tex.z-dn.net/?f=E%3DZ%CE%B1%2F2%E2%88%9Ap%281-p%29%2Fn)
![n=((Zα/2)/n)²×p(1-p)](https://tex.z-dn.net/?f=n%3D%28%28Z%CE%B1%2F2%29%2Fn%29%C2%B2%C3%97p%281-p%29)
1-α=0.98
cross multiply
Zα/2=2.33
p=0.5
n=(2.33/0.01)²×0.5(1-0.5)=13573
![n=13573](https://tex.z-dn.net/?f=n%3D13573)
Subtract the second equation from the 1st equation
<span>y = 2x + 3
</span><span>2x - y = 7
Substituting the value of y,
2x - (2x + 3) = 7
2x - 2x - 3 = 7
-3 </span>≠ 7
Hence, there is no solution to this equation. This equation does not even exist.