Answer:
Volume of cylinder = 192π inch³
Step-by-step explanation:
Given:
Diameter of base = 8 inch
Length of cylinder = 12 inch
Find:
Volume of cylinder
Computation:
Radius of cylinder = Diameter of base / 2
Radius of cylinder = 8 / 2
Radius of cylinder = 4 inch
Volume of cylinder = πr²h
Volume of cylinder = π(4)²(12)
Volume of cylinder = π(16)(12)
Volume of cylinder = 192π inch³
27.5 / 3.5 = 7.86; The average yearly snowfall was 7.86 inches.
Answer:
0.005 `; 0.00499 ;
No, because np < 10 ;
2000
Step-by-step explanation:
Given that:
Number of samples , n = 100
Proportion, p = x / n
p = 1 / 200
= 0.005
p = μ
Standard deviation of sample proportion :
σp = sqrt((p(1 - p)) / n)
σp = sqrt((0.005(1 - 0.005)) / 200)
σp = sqrt((0.005(0.995)) / 200)
σp = sqrt(0.004975 / 200)
σp = sqrt(0.000024875)
σp = 0.0049874
σp = 0.00499
np = 100 * 0.005 = 0.5
n(1 - p) = 100(1-0.05) = 95
Smallest value of n for which sampling distribution is approximately normal
np ≥ 10
0.005n ≥ 10
To obtain the smallest value of n,
0.005n = 10
n = 10 / 0.005
n = 2000