Answer:
z=-2.09
Step-by-step explanation:
Given that a study of 138 penalty shots in World Cup Finals games between 1982 and 1994 found that the goalkeeper correctly guessed the direction of the kick only 41% of the time.
Set up hypotheses as:

(left tailed test at 5% significance level)
Standard error = 0.043
Sample proportion p = 0.41
p difference = 
Test statistic Z = p diff/std error
= 
Z = -2.09
Lines with no solution are parallel lines....parallel lines will contain the same slope, but different y intercepts.
y = -2x + 3/2....slope (m) = -2 and y int (b) = 3/2
so the line we need will have a slope of -2, but can have any y int EXCEPT 3/2.
m = -2, and b = -1/3 is parallel, no solution
m = -2 and b = -2/3...parallel, no solution
<span> x/2 - 3 = 7
Add 3 to both sides
x/2=10
Multiply 2 on both sides
Final Answer: B. 20</span>