240
/ \
5 48
/ \
6 8
/ \ / \
3 2 4 2
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.
The value of X would be 3.6 because if you divide the 4 by 2 to get the half triangle you now know the base and height for the triangle. Now you have to use tangent -1 to figure out the bottom right angle which is 56.3 degrees. Once you have the angle you can use Sin to figure out the missing side.
Answer:

Step-by-step explanation:
you have to use the midpoint formula which is

so you plug your numbers in

Add the tops

if possible simplify
and that is your answer
Answer:
B. 1,500’
Step-by-step explanation:
Given;
dimension of the rectangular house, = 35’ x 40’
The actual total linear footage of lumber needed = 35’ x 40’ = 1,400'
The rough estimate should be greater than the actual estimate in 100s;
rough estimate = 1,400' + 100' = 1,500'
Therefore, the rough estimate of the total linear footage of lumber needed is 1,500'.