Answer:
mAB = 49
mABC = 253
mBAC= 156
mACB = 311
Step-by-step explanation:
Answer:
0.78
Step-by-step explanation:
given that 80% of an airline's flights depart on-time and 20% do not.
Of those that depart on-time, 95% arrive on-time. Of those that depart late, 10% arrive on-time
Let A be the event that flight departs on time.
Now A and A' are mutually exclusive and exhaustive
Let B be the event the flight arrives on time
Using total probability calculation we have
the chance of someone taking a flight that will arrive on-time
= P(B)
=
We are given that there
will be (1/2) a litre after the first pouring, so considering two successive
pourings (n and (n+1)) with 1/2 litre in each before the nth pouring occurs:
1/2 × (1/n) = 1/(2n)
1/2 - 1/(2n) = (n-1)/2n
1/2 + 1/(2n) = (n+1)/2n
(n-1)/2n and (n+1)/2n in
each urn after the nth pouring
Then now consider the
(n+1)th pouring
(n+1)/2n × 1/(n+1) =
1/(2n)
(n+1)/(2n) - 1/(2n) =
n/(2n) = 1/2
Therefore this means that after
an odd number of pouring, there will be 1/2 a litre in each urn
Since 1997 is an odd
number, then there will be 1/2 a litre of water in each urn.
Answer:
<span>1/2</span>
Answer:
[8i + 54j + 72k] joules per newton metre square.
Step-by-step explanation:
F(x,y,z) = z2i + 3xyj + 3y2k
F(3,0,0) = 0
F(3,3,1) = 1(2i) + 3(3)(3)j + 3(3)(2k)
= 2i + 27j + 18k
F(0,3,1) = 1(2i) + 3(0)(3)j + 3(3)(2k)
= 2i + 18k
The sum = [4i + 27j + 36k]
Since the particle moves back to the origin, we multiply the above Work Done by 2:
[8i + 54j + 72k]
And since work done is the product of Force and Distance, the S.I. unit is Joules/newton metre square
