Answer:
0.942 is the required probability.
Step-by-step explanation:
We are given the following in the question:
x is a binomial random variable with n = 5 and p = 0.8.
Then,
where n is the total number of observations, x is the number of success, p is the probability of success.
We have to evaluate:
0.942 is the required probability.
From the equation of motion, we know,
Where s= displacement
u= initial velocity
a= gravitational force
t= time
Displacement is 0 since the ball comes back to the same point from where it was thrown.
A = since the ball is thrown upwards.
Plug the known values into the equation.
=>
Solving for u gives :
u= 16.67 m/ sec ....... equation (1)
At maximum height, final velocity i.e v is 0
Time take to reach the top =
=>
Solving for s we get
s= 14.16 m
Answer:
The next time both will leave the bus station at the same time is 7:15 a.m.
Step-by-step explanation:
Since 15 and 75 are multiples to each other.
So, L.C.M. of 15 and 75 is 75.
So, after 75 minutes both buses will leave the station at the same time.
Also since buses begin their routes at 6 a.m.
So, next time they will meet at
6 hours 0 minutes + 75 minutes = 7 hours 15 minutes = 7:15 a.m.
Use the Pythagorean Theorem to check out these possibilities (which you really do need to share here).
Note that 13^2 = 12^2 + 5^2, so 12 and 5 are a possible set of side lengths here.
Answer:
5.5:1
Step-by-step explanation: