Step-by-step explanation:

Answer: (20.86, 22.52)
Step-by-step explanation:
Formula to find the confidence interval for population mean :-

, where
= sample mean.
z*= critical z-value
n= sample size.
= Population standard deviation.
By considering the given question , we have


n= 58
Using z-table, the critical z-value for 95% confidence = z* = 1.96
Then, 95% confidence interval for the amount of time spent on administrative issues will be :





Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)
Answer:
1) 1/2
2) 1/13
3)1/169
Step-by-step explanation:
not sure about the last one
correct me if i am wrong
Answer:
Step-by-step explanation:
The letters are virtually impossible to read. I'll do my best, but recognize it is why you are not getting answers. I take y to be next to the 100 degree angle and part of the triangle.
I take x to be to the left of y. It is equal to the 28o angle because of the tranversal properties.
Finally z is the exterior angle of the triangle and as such has properties of z = y + 28 where y and 28 are remote interior angles to the triangle.
so x = 28 because of the transversal cutting the two parallel lines. They are equal by remote exterior angles of parallel lines.
y = 180 - 100 - 28 = 52
Finally z = 52 + 28 = 80 degrees because x and y add to 80 degrees.
If the assumptions are incorrect, could I trouble you to repost the diagram or correct the errors I have made.
Answer:
942.48
Step-by-step explanation:
V=πr^2h=π·5^2·12≈942.4778