Answer:
see explanation
Step-by-step explanation:
To show f and g are inverses we require to show that
f(g(x)) = x and g(f(x)) = x
f(g(x))
= f(6x - 4)
= =
= x
-----------------------------------------------------------------------------
g(f(x))
= g( )
= ( 6 × ) - 4
= x + 4 - 4 = x
-------------------------------------------------
Hence f and g are inverses
Answer:
Option b - not significantly greater than 75%.
Step-by-step explanation:
A random sample of 100 people was taken i.e. n=100
Eighty of the people in the sample favored Candidate i.e. x=80
We have used single sample proportion test,
Now we define hypothesis,
Null hypothesis : candidate A is significantly greater than 75%.
Alternative hypothesis : candidate A is not significantly greater than 75%.
Level of significance
Applying test statistic Z -proportion,
Where, and
Substitute the values,
The p-value is
Now, the p-value is greater than the 0.05.
So we fail to reject the null hypothesis and conclude that the A is not significantly greater than 75%.
Therefore, Option b is correct.