Answer:

Step-by-step explanation:

Adding 2a to both sides

Taking sqrt on both sides

Answer: C. 
Step-by-step explanation:
Given: Box contains 8 green balls and 4 purple balls.
Total balls = 8+4 = 12
event 1 = first picking green ball
event 2 = second picking purple balls.
As first ball was replaced, that means both events are independent.
Probability that you have selected a green ball and then a purple ball = P(purple ball )
Formula for probability = 
Probability of selecting a purple ball (second pick)= 

The required probability
, so C is correct option.
Answer:
The experamental probability that the coin lands on head is 50 %
Step-by-step explanation:
Given:
Experiment:
A coin is Toss
Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }
∴ n ( S ) = 2
Let A be the event of getting a Head on tossing a coin i.e { Head }
∴ n( A ) = 1
Now,

Substituting the values we get

The experamental probability that the coin lands on head is 50 %