Given that events A and B are independent with P(A)=0.3P(A)=0.3 and P(A\cap B)=0.27P(A∩B)=0.27, determine the value of P(B)P(B),
1 answer:
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Given:
The figure of a triangle.
To find:
The missing length.
Solution:
Let x be the missing length.
Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.
Using Basic proportionality theorem, we get
Adding x on both sides, we get
The missing length is 3 Therefore, the correct option is D.
To find AB(x) and BC(y), you can do(there are multiple ways you can do this):
tan A =
tan 60° = or (tan 60°) · 7 = y
tan 60° =
√3 · 7 = y
7√3 cm = y
sin B =
sin 30° = or
sin 30° = =
x =
x = 14 cm
AB = 14cm
BC = 7√3 cm
