Root 3 + root 27 - 12 upon root 3 + 6 upon root 3
2 answers:
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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.
Option D: is the expression equivalent to
Explanation:
Option A:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is not equivalent to the expression
Hence, Option A is not the correct answer.
Option B:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is not equivalent to the expression
Hence, Option B is not the correct answer.
Option C:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is not equivalent to the expression
Hence, Option C is not the correct answer.
Option D:
The expression can be written as
Applying exponent rule, we get,
Thus, the expression is equivalent to the expression
Hence, Option D is the correct answer.