Step-by-step explanation:
5x=4x+12(corresponding angle)
5x-4x=12
x=12
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Answer:
3.2
Step-by-step explanation:
Answer:
A yes, B no
Step-by-step explanation:
The triangle inequality states that the sum of any 2 sides of the triangle must be greater than the third side.
A Given 21, 18, 17 , then
21 + 18 = 39 > 17
21 + 17 = 38 > 18
18 + 17 = 35 > 21
Thus the triangle could exist
B Given 3, 12, 8 , then
3 + 12 = 9 > 8
3 + 8 = 11 < 12 ← fails the test
Thus the triangle does not exist
Answer:
P (T) = 1/4
P ( T | F ) = 1/2 = P(F)
The events are not independent.
Step-by-step explanation:
Let F the event of picking the white ball first
P (F)= 1/2 ( picking the white ball first)
Let T be the event of getting the white ball twice,
P (T) = P( getting white ball) * P( getting white ball)
=( 1/2)*(1/2)
= 1/4
Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.
P ( T | F ) = P (T∩F)/ P(F)
= (1/4)/ (1/2)
= (1/2)
= 1/2 = P(F)
For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).
Hence the events are not independent.
