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:
Therefore 20 degree is in First Quadrant,
i.e Quadrant I.
Step-by-step explanation:
QUADRANT:
When the terminal arm of an angle starts from the x-axis in the anticlockwise direction then the angles are always positive angles.
Quadrant I - 0° to 90°
Quadrant II - 90° to 180°
Quadrant III - 180° to 270°
Quadrant IV - 270° to 360°
Therefore 20 degree is in First Quadrant, i.e Quadrant I.
When the terminal arm of an angle starts from the x-axis in the clockwise direction than the angles are negative angles.
Quadrant IV - 0° to -90°
Quadrant III - -90° to -180°
Quadrant II - -180° to -270°
Quadrant I - -270° to -360°
Answer:
d ≈ 14.6 units; M (2.5, 2, 6)
Step-by-step explanation:
Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6
Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.
2. Definition of linear pair
3. Linear pair theorem
4. Definition of supplementary angles
5. m<1 + m<2 + m<3 = 180
6. Substitution property of equality
7. m<1 + m<2 + m<4
7. Subtraction property of equality
