Answer: Option A

Step-by-step explanation:
In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:

Then if
and
then:

Answer:
AC= 6.3 units (nearest tenth)
BC= 2.8 units (nearest tenth)
∠C= 64°
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
(6 - √ 100 - 6 * 6) 3 - 9 ÷ 3 = -64003/1 = -64003
Step-by-step explanation:
1.Square root: sqrt(100) = √ 100 = 10
2.Subtract: 6 - the result of step No. 1 = 6 - 10 = -4
3.Multiple: 6 * 6 = 36
4.Subtract: the result of step No. 2 - the result of step No. 3 = -4 - 36 = -40
5.Exponentiation: the result of step No. 4 ^ 3 = (-40) ^ 3 = -64000
6.Divide: 9 / 3 = 3
7.Subtract: the result of step No. 5 - the result of step No. 6 = -64000 - 3 = -64003
Answer:

Step-by-step explanation:
When the first draw is done there are 9 red balls in a sample size of 21. So there probability of drawing a red ball will be 
When the second draw is done, there will be 12 yellow balls in a sample size of 20 since the first ball will not have been replaced into the bag. So the chance of someone drawing the second ball in the second draw is 
The probability of them happening in this order is the product of both probabilities:

Answer:
Vertical angles
Step-by-step explanation:
∠
and ∠
are formed by the same lines and are "opposite" to each other, so they are vertical angles by definition. Hope this helps!