Answer: (1500.66,1599.34)
Step-by-step explanation:
Confidence interval for population mean:

,where
= Sample mean , n= Sample size, z* = critical two tailed z-value ,
= population standard deviation.
As per given , we have
n= 16
square feet
square feet

Critical z-value = 
Confidence interval for population mean:

Required confidence interval: (1500.66,1599.34)
Answer:
A) About $195.00
Step-by-step explanation:
In a normal distribution, the interval (mean - 3*standard deviation, mean + 3*standard deviation) account for about 99.7% of the values. In this case mean + 3*standard deviation = $87.00 + 3*$36.00 = $195.00. So, it 's expected that this amount of money would be the largest individual customer bill.
Answer
Find out the volume of a cylinder .
To prove
Formula

Where r is the radius and h is the height.
As given
Diameter of 12 in. and a height of 7 in.


Radius = 6 in

put all the values in the formula

= 791.28 in³
Therefore the volume of the cylinder is 791 .28 in³ .
Answer:
6.7 seconds
Step-by-step explanation:
Let's calculate the maximum height covered by the object
Max height= U²Sin²tita/2g
Where g is acceleration due to gravity
Max height= 40²(sin90)²/(2*9.81)
Max height= 1600/19.62
Max height=81.55 m
Total max height= 30+81.55
Total max height= 111.55 m
Time t it will take to travel from the max height at acceleration of 4.9 m/s²
S= ut + ½at²
u= 0 at Mac height
S= 111.5 m
111.5 = ½(4.9)t²
223/4.9= t²
45.5= t²
6.745 seconds= t
6.7 seconds= t