Answer:
or 
Step-by-step explanation:
The surface area of a sphere is:

Where r is the radius of the sphere
In this case we know that 
So

We solve the equation for r

Now we know the radius of the sphere.
The volume of a sphere is:

We substitute the value of the radius in the formula


Answer:
Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)
Step-by-step explanation:
Confidence Interval can be calculated using the formula M±ME where
- M is the mean of the sample
- ME is the margin of error in a given confidence level
Using the sample obtained from 50 business travelers we get
- Mean of the sample is 6.76
- standard deviation of the sample is 2.526
Margin of error (ME) around the mean using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- s is the standard deviation of the sample (2.526)
- N is the sample size (50)
Using the numbers in the formula we get:
ME=
≈ 0.70
Then the confidence interval becomes 6.76±0.70
The variables are x and y. The constant is 250. The coefficients are 14 and 3
(-5,2) is located in the II quadrant because the x is negative and the y is positive.
(5,-5) is located in the IV quadrant because the x is positive and the y is negative.
(2,-5) is also located in the IV quadrant because the x is positive and the y is negative.
(-4,-5) is located in the III quadrant because both x and y are negative.