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It is given the probability that a dancer like ballet is 0.35
So, P(B) = 0.35
It is given the probability that a dancer like tap is 0.45
So, P(T)= 0.45
The probability that he likes both ballet and tap is 0.30
So, 
the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.
So, 
= 0.666
= 0.67
Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.
Option 3 is the correct answer.
Answer:When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.
here you go
Answer:
y = 2x + 5
Step-by-step explanation:
First, find the slope using rise over run, (y2 - y1) / (x2 - x1)
With this information, we can create 2 points: (2, 9) and (5, 15)
Plug in the points:
(15 - 9) / (5 - 2)
6 / 3
= 2
Plug in the slope and a point into y = mx + b, and solve for b:
y = mx + b
15 = 2(5) + b
15 = 10 + b
5 = b
Plug in the slope and b into the equation:
y = 2x + 5 is the equation of the line
