The volume of a sphere -
The volume of a cone -
r - radius, h - height
The sphere and the cone have the same volume and the radius is 3 inches.
The height of the cone is
12 inches.
Answer:
a. 1844
b. 664
Step-by-step explanation:
a. No estimate of proportion is given so we will assume:
{p} = {q} = 0.5
For 99% confidence, z = 2.576
E = 0.03
Hence, Required sample size n = (0.5)*(0.5)*(2.576/0.03)^2 = 1844
b. {p} = 0.10
{q} = 1 - {p}
{q} = 1 - 0.10
{q} = 0.90
For 99% confidence, z = 2.576
E = 0.03
Hence, Required sample size n = (0.1)*(0.9)*(2.576/0.03)^2 = 664
c. There would have been no effect on parts a and b if entire US has been chosen because minimum sample size required is not dependent on population size.
The interquartile range is 24.5
the variability is 69
You started with nothing: 0
He gave you 8: +8
You spend 6: -6
He gave you 5 more: +5
0 + 8 - 6 + 5 = 7 dollars left to spend.
First, find the unit rate.
Since the car travels 476 miles with 14 gallons of gas, then 476/14 = 34, so the car can travel 34 miles per gallon.
The distance is 34 times the number of gallons
d = 34g
Now you are given 578 miles, and you need to find the gallons.
578 = 34g
Solve for g by dividing both sides by 34.
g = 17
He needs 17 gallons.