Answer:
1/3
Step-by-step explanation:
Probability that both roads from a to b are blocked is the product of the individual probabilities, i.e.
P(~ab)=0.25*0.25=0.0625
Similarly
P(~bc)=0.25*0.25=0.0625
Probability that EITHER one or both of ab and bc are blocked is the sum of the probabilities:
P(~ab ∪ ~bc)=0.0625+0.0625=0.125
(recall that one cannot travel from a to c if either ab or bc is blocked.)
Therefore the probability that there exists an open route from a to c
= P(ac) = 1-P(~ab ∪ ~bc)
= 1 - 0.125
=0.875
Answer:
x can be cancelled
Step-by-step explanation:
we are given

Firstly, we will factor numerator and denominator
and then we can factor it


now, we can factor denominator


now, we can replace it

we can see that
both terms are having x common
so, x can be cancelled
So,
x can be cancelled
For 11, Figure B has the greatest perimeter. For 12, Figure C has an area of 108 square centimeters. For 13, Figure A has an area of 40 square feet.
First you subtract 1/3 from both sides, that leaves you with 5/12, then you multiply the reciprocal of 1/2 by both sides, which is 2, which gives you 5/6. Therefore, K>5/6