Answer:
A) 1/3200000
B) 19/20
Step-by-step explanation:
Percentage population of graduates = 5
Proportion of graduates from 100 random samples = percentage × number of samples
Proportion of graduates = 0.05 × 100 = 5
Probability of having 5 graduates among the 100 random samples:
P(1 graduate) = possible outcome / total required outcome
P(1 graduate) = (5 / 100) = 1/20
P(5 graduates) = (1/20)^5
P(5 graduates) = 1/3200000
Probability of never being a graduate = (1 - probability of being a graduate)
Probability of never being a graduate = ( 1 - (1/20)) = 19/20
The length of the entire rope is 64 inches as when it is cut into four pieces one is 16 therefore when multiplying 16 by four you should get the length of the entire rope which is 64.
X+y=30
2x-3y=5
y=30-x
2x-3(30-x)=30
2x-90+3x=30
5x=120
x=24
y=30-x
y=30-24
y=6
The positive difference between the two numbers is 18.
I would say 270 because : 30 times 9 is 270.