Answer:
The standard deviation of the number of defective bulbs produced in an hour is 6.615
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem, we have that:
What is the standard deviation of the number of defective bulbs produced in an hour
The standard deviation of the number of defective bulbs produced in an hour is 6.615
She would be correct for 36 but not for 56 10 x 6 =60 60 - 6 = 54
Check out the attached image below. I added a variable y to help find x
tan(angle) = opposite/adjacent
Focusing on the smaller 30-60-90 triangle, we see that
tan(60) = 91/y
y*tan(60) = 91
y = 91/tan(60)
y = 52.53887
now focus on the largest triangle and we see that
tan(30) = 91/(x+y)
0.57735 = 91/(x+52.53887)
0.57735*(x+52.53887) = 91
0.57735*x + 0.57735*52.53887 = 91
0.57735*x + 30.3333165945 = 91
0.57735*x + 30.3333165945 - 30.3333165945 = 91 - 30.3333165945
0.57735*x = 60.6666834055
x = 60.6666834055/0.57735
x = 105.07782697757
x = 105.1
So the final answer is approximately 105.1
Answer:
Step-by-step explanation:
3n+15=75
three times a number is 3n. +15 is 15 more.
3n+15=75 subtract 15 from both sides to get the 3n alone
3n=60 divide by 3 to get the n by itself
n=20
0.906, it's a whole bunch of 6's with a 7 at the very end, but the 7 shouldn't matter. so just say 0.906.