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:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
3
Using (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 6)
m = =
= - 2
Since the line passes through the origin (0, 0) then y- intercept is 0
y = - 2x ← equation of line
4
let (x₁, y₁ ) = (6, 0) and (x₂, y₂ ) = (0, 3)
m = =
= -
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = - x + 3 ← equation of line
5
let (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (-2, - 3)
m = =
= 3
note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line