Answer:
The 90% confidence interval is 0.575 to 0.625.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence interval 
, we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of 
.
For this problem, we have that:
90% confidence interval
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval is 0.575 to 0.625.
The surface area equation of a cylinder is:
2 * pi * r^2 + 2 * pi * r * h
Plug the values in:
2 * pi * 10^2 + 2 * pi * 10 * 10 is about 1256.64 units squared.
Answer:it costs $1150 to rent the apartment for one month.
Step-by-step explanation:
Let x represent the cost to rent the apartment for one month.
They must pay the landlord two months' rent and $500 security deposit when they sign the lease. This means that the security deposit is constant and independent of the number of months that they want to pay for.
The total amount they pay the landlord is $2800. Therefore
2x + 500 = 2800
2x = 2800 - 500 = 2300
x = 2300/2 = 1150
