In a family with 2 children, excluding multiple births, what is the probability of having a boy and a girl in any order?
2 answers:
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Answer:
9.93
Step-by-step explanation:
Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.
From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):
(15+y)(10) = 17^2
Solving for y we get:
Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:
5 * 13.9 = 7 * x
Now solving, we get:
Thus x = 9.93
last answer choice is right.