Answer:
the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
Step-by-step explanation:
since each student is independent on others the random variable X= x students of 45 applicants will join the program has a binomial probability distribution
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^x
where
n= total number of students= 45
p= probability that a student join the program= 0.7
x= number of students that join the program
then in order to have enough funding x should not surpass 30 students , then
P(X≤30)= ∑P(X) for x from 1 to 30 = F(30)
where F(30) is the cumulative probability distribution
then from binomial probability tables
P(X≤30)= F(30)= 0.3653 (36.53%)
therefore the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
Answer:
Ok, split the numbers into their addends, 16= 10+6, and 48= 40+8. Now distribute: (10+40)+(8+6)=(50)+(14)=64.
if not good, don't guess!
Step-by-step explanation:
Answer:
1.6 ft
Step-by-step explanation:
Each time the wheel does a complete turn, the bike moves forward a distance equal to the wheel's circumference. Since the bike moves 200 ft after 40 rotations, the length of the wheel's circumference is:
C = 200 ft / 40
C = 5 ft
Circumference is π times the diameter. So the diameter of the wheel is:
C = πd
5 ft = πd
d = 1.6 ft
Answer:
-4
Step-by-step explanation:
-4(3) = -12
-12 + 8 = -4
They are vertical angles meaning they both have the same angle thus you can set the two equations equal to each other
9y+7 = 2y+28
Solve for y
Plug your y into one of the equations and you’ll get your angle