Answer:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of .
Of the 533 randomly selected Americans surveyed, 351 were in favor of the initiative.
This means that
90% confidence level
So , z is the value of Z that has a p-value of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the proportion of all Americans who are in favor of a new Green initiative is (0.6247, 0.6923).
Answer: The membership will last for 12 months.
Step-by-step explanation:
Let x represent the number of months that the membership would last.
Cleo wants to join a gym. There is an initiation fee of $24.99, and each month of membership costs $12.50. This means that the total cost of using the gym for x months would be expressed as
12.5x + 24.99
If Cleo pays $174.99, it means that
12.5x + 24.99 = 174.99
12.5x = 174.99 - 24.99
12.5x = 150
x = 150/12.5
x = 12
Answer:
x=1
Step-by-step explanation:
-16+x=-15
-16+x+16=-15+16 Add the terms to both sides of the equation.
After that you simplify.
Yes the quotient of 9 is rational
Answer:
Neither
Step-by-step explanation:
Parallel must have the same slope.
Perpendicular must have reciprocal slopes.
These two contain neither.