I have an answer and an explanation!
ANSWER:
Explanation:
<span>{Let's solve your equation step-by-step.}
</span>

<span>{Step 1: Factor left side of equation.}
</span>

{<span>Step 2: Set factors equal to 0.}
</span>

<span>
</span>
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:
33
Step-by-step explanation:I had this question before, hope this helps :)!
Answer:
1.89x + 5.19y = 31.62.
Step-by-step explanation:
Let the pagke of hot dags be x
Let the pakage of hamburgers be y
Now they total up tp 8 packages.
xEliminate the cost
x+y=8
y=8-x
Cost of hotdogs = $1.89
Cost of hamburgers = $5.19
1.89x+5.19y=31.62
1.89x+5.19(8-x)=31.62
1.89x+41.52-5.19=31.62
-3.3x=--9.9
x=3
y=8-3
y=5