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:
C. 5
> 15
Step-by-step explanation:
In the given series of inequalities, the inequality sign determines the final outcome.
A. 4
- 2 < 10
4
< 12
< 3
Since
< 3, then the inequality is false
B.
+ 9 < 12
< 3
Since
< 3, then the inequality is false
c. 5
> 15
> 3
Since
> 3, then the inequality is true
D. 6 > 2
3 > 
Since
< 3, then the inequality is false
Thus, the only inequality that is true is option C.
Triangular prism and rectangular prism
According to the attached formula:
apothem = side length / 2 * tan (180/number of sides)
apothem = 6 / 2 * tan (180/10)
apothem = 6 / 2 * 0.32492
apothem =
<span>
<span>
<span>
9.23 cm
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