Answer:
Step-by-step explanation:
Hope this helps :)
Answer:
Mean = 8
Variance = 7.36
Standard Deviation = 2.7129
Step-by-step explanation:
This is a binomial distribution with parameters, n and p.
Where
n is sample size (given as 100)
p is the probability of success, or probability of defective (given as 8% or 0.08)
The mean, variance, standard deviation formula for binomial distribution is shown below:
Mean = 
Variance = 
Standard Deviation = 
Where q would be probability of failure, or "1 - p"
Thus,
n = 100
p = 0.08
q = 1 - 0.08 = 0.92
SO, we have:
Mean = 
Variance = 
Standard Deviation = 
Answer:
Step-by-step explanation:
The volume for a sphere is
. Our radius is 21 inches, so
and
. Multiplying straight across the top, using the fact that 3.14 is pi:
and divide to get that
V = 38772.72 in^3
Answer:
Step-by-step explanation:
sin x=a+b
cos x=a-b
sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²
or 2a²+2b²=1
a²+b²=1/2 which is constant for all values of x
(ii)
