Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Area of triangular base = 12 sq. inches
Height of a three dimensional object = 8 inches
We need to find the Volume of that object.
As we know that "Volume = Area of base × Height "
So, it becomes,
So, the volume of object is 96 cubic inches.
Hence, Option 'D' is correct.
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.