Answer:
90 grams
Step-by-step explanation
Full = 120
half filled + empty = 150
half of 120 = 60
Therefore, a jar weighs 150 - 60
= 90 grams
E = some event
C = complement of event E
Since the events are complementary, this means P(E)+P(C) = 1
We know that P(E) = 3*P(C) since "an event is three times as likely as its complement"
So we can replace P(E) with 3*P(C) and then isolate P(C)
P(E) + P(C) = 1
3*P(C) + P(C) = 1
4*P(C) = 1
P(C) = 1/4
The probability of the complementary event is 1/4
So the probability of the original event is 3/4 (three times 1/4)
Answer: 3/4
note: in decimal form, 3/4 = 0.75
So first, let us say that the inner circle is circle B and the outer circle is circle A. The area of circle A minus the area of circle B gives you the area between them. So, the area of circle A is 14²π = 196π. The circle B's area is 6²π = 36π. Hence, the area is 160π between both of them. Now, the area of the outer circle as we found is 196π, so the probability that I would choose a point between the outer and inner circle is 160π/196π = 40/49.
