Answer:

Step-by-step explanation:
We have a certain expression and are asked to find its equivalent with the answers provided :

Remove the parenthesis around 3m^5 :

Do the exponent rule for outside and inside exponent parenthesis :


Apply addition exponent rule :

Add :

Apply the addition rule for -12 + 5 :

Apply negative exponent rule for m^-7 :

Multiply the fractions :


The question is incomplete. Below you will find the missing contents.
The correct match of events with order are,
- P(A)P(B|A) - Dependent event
- P(A)+P(B) - Mutually exclusive events
- P(A and B)/P(A) - Conditional events
- P(A) . P(B) - Independent Events
- P(A)+P(B) -P(A and B) - not Mutually exclusive events.
When two events A and B are independent then,
P(A and B)=P(A).P(B)
when A and B are dependent events then,
P(A and B) = P(A) . P(B|A)
When two events A and B are mutually exclusive events then,
P(A and B)=0
So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)
P(A) + P(B) = P(A or B)
When events are not mutually exclusive then the general relation is,
P(A or B) = P(A) + P(B) - P(A and B)
If the probability of the event B conditioned by A is given by,

Hence the correct match are -
Dependent event
Mutually exclusive events
Conditional events
Independent Events
not Mutually exclusive events.
Learn more about Probability of Events here -
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Answer:
18
Step-by-step explanation:
6 + 6 + 6 = 18
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Answer:
Area of trapeze= (B+b):2×h
Therefore : (7+10):2×4=34
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5)
Equilateral triangle, all sides are equal
So 2x + 5 = 11
2x = 6
x = 3
Answer is the first one
3; Equilateral theorem
6)
Isosceles triangle has at least two congruent sides.
So 6x = 24
x = 4
Answer x = 4
Converse of the Base Angle Theorem
7)
5x + 7 = 52
5x = 45
x = 9
Answer
x = 9
Base angle theorem
8)
5y - 14 = 3y
2y = 14
y = 7
Answer
7; Equiangular theorem