Answer:
The margin of error for a 99% confidence interval for the population mean is 1.8025.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this problem:
So
The margin of error for a 99% confidence interval for the population mean is 1.8025.
22.5 i think but i have no idea good luck
Angle of elevation is 37°
<u>Step-by-step explanation:</u>
As we have the opposite side 75 ft to the angle and the hypotenuse 125 ft, we can find the sine value as,
sin θ = opp/ hyp
= 75/125
= 0.6
θ = sin⁻¹ (0.6) = 36.9°≈ 37°
So angle of elevation is 37°.
Hello aysha123994 i am sure that it could be 17. if i am wrong forgive me
Answer: it will take 6 months for both gyms to cost the same.
Step-by-step explanation:
Let m represent the number of months that it will take for the cost of both gyms be the same.
At one gym, there is a $12 start-up fee, and after that each month, m, at the gym costs $20. This means that the total cost for m months is
12 + 20m
At another gym, each month at the gym costs $22. This means that the total cost for m months is 22m
For both costs to be the same, the number of months would be
12 + 20m = 22m
22m - 20m = 12
2m = 12
m = 12/2 = 6
