The answer is B. :PPPPPPPPPP
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
Answer:option C is the correct answer.
Step-by-step explanation:
When the ladder leans against the wall, it forms a right angle triangle with the wall. The length of the ladder becomes the hypotenuse of the right angle triangle.
Since the length of the ladder is 12 foot, then
Hypotenuse = 12 foot
The angle formed by the ladder with the ground is 75.5 degrees. Therefore, the height, y which is the distance from the point where the ladder touches the wall to the foot of the wall becomes the opposite side. It would be determined by applying trigonometric ratio
Sin θ = opposite side/hypotenuse
Sin 75.5 = y/12
BC = 6 km
<u>/</u><u> </u> ACB = 34°
AC = ?
cos 34° = 
=> 0.829 = 
=> AC = 
=> AC = 7.23763570567
=> AC = 7 km
=> AC = 10 km
(nearest tenth)

<h3>Answer : 10 km</h3>

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