Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The margin of error is 
Given that the confidence level is 95% the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table , the values is

The reason we are obtaining critical value of
instead of
is because
represents the area under the normal curve where the confidence level interval (
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
Generally the margin of error is mathematically represented as

substituting values




=> 
Answer:

Step-by-step explanation:
Given equation is 
We need to find the value of 

Distribute
in the right-hand side

Add both sides 

Now, add both sides 

Divide both sides by 

So, 
Answer:
f(x) = (x +1)/(x -1)
Step-by-step explanation:
Let f(x) = y. We want to find y such that ...
g(y) = x
(y +1)/(y -1) = x
y +1 = xy -x . . . . . . multiply by y-1
y -xy = -x -1 . . . . . . add -1 -xy
y(x -1) = x +1 . . . . . . multiply by -1 and factor out y
y = (x +1)/(x -1) . . . . divide by the coefficient of y
Then ...
f(x) = (x +1)/(x -1)
_____
<em>Check</em>
g(f(x)) = ((x +1)/(x -1) +1)/((x +1)/(x -1) -1)
= ((x +1 +x -1)/(x -1)) / ((x +1 -x +1)/(x -1))
= 2x/2
= x
Answer:
x = -1/2
Step-by-step explanation: