Answer:
(a) P(A1 ∪ A2) = 0.35
Step-by-step explanation:
(a) A1 ∪ A2 :
We start by defining the events.
A1 : '' awarded project 1''
A2 : ''awarded project 2''
A3: ''awarded project 3''
In set theory we write the union of events A and B as A∪B.
A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.
The probability is given by the equation :
P(A∪B) = P(A) + P(B) - P(A∩B) (1)
Where the event (A∩B) is the event where A and B occur at the same time
and P(A∩B) is the probability of (A∩B)
Using the equation (1) :
P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)
P(A1 ∪ A2) = 0.22 + 0.25 - 0.12
P(A1 ∪ A2) = 0.35
Answer:
11.4285714286
Step-by-step explanation:
Hope this helps :D
Answer:
Not an arithmetic sequence
Step-by-step explanation:
For the sequence to be arithmetic there must be a common difference between consecutive terms.
- 7 - (- 3) = - 7 + 3 = - 4
- 10 - (- 7) = - 10 + 7 = - 3
- 14 - (- 10) = - 14 + 10 = - 4
The differences are not common , hence not an arithmetic sequence
The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Step-by-step explanation:
Distance covered in 4 hours = 160 km
Time took on return trip = 5 hours
Let,
x represent the speed of boat.
y represent the speed of current.
Combined speed of boat and current when in same direction = x+y
Speed of boat and current when travelling against = x-y
Distance = Speed * Time
Speed = 
x+y = 
x+y = 40 Eqn 1
x-y = 
x-y = 32 Eqn 2
Adding Eqn 1 and Eqn 2
Dividing both sides by 2
Putting x=36 in Eqn 1
The speed of motorboat is 36 kmph and speed of current is 4 kmph.
Keywords: linear equation, addition
Learn more about linear equations at:
#LearnwithBrainly
4m -21 = 3(5m - 1)
4m - 21 = 15m - 3
15m - 4m = -21 + 3
11m = -18
m = -18/11
To check:
LHS → 4 (-18/11) -21 = - 303/11
RHS → 3( 5(-18/11) - 1) = -303/11
LHS = RHS (The answer is right)
