Answer:
1. Not Independent
2. Independent
3. Not Independent
4. Independent
Step-by-step explanation:
Independent: An event is independent if the outcome of one event doesn't effect the outcome of the other event.
Not independent : An event is Not independent if the outcome of one event effect the outcome of other event.
1. A jar contains twenty coins. Two coins are picked randomly without replacement.
Not Independent because if coins are not replaced the outcome of next event will be effected.
2. A coin is flipped three times.
Independent because when a coin is flipped once its outcome doesn't effect the outcome of the coin flipped again
3. A bag contains 5 red balls and 3 green balls. A red ball is chosen followed by a green ball without replacement.
Not Independent because if balls are not replaced the outcome of next event will be effected.
4. A spinner contains 3 equal sectors labeled A, B and C. The spinner is spun twice.
Independent because when the spinner is spuned once its outcome doesn't effect the outcome of the spinner spun again
Answer:
D. (12,3)
Step-by-step explanation:
From the graphical diagram attached below ; we would realize that the x-coordinate is in the positive direction and the y-coordinate is in the negative direction.
Initially, the location of S = 12 to the horizontal x axis from the graphical diagram. So, if the trapezoid RSTU is rotated 90° clockwise about the origin to produce trapezoid R'S'T'U, we will have :
S' = 3
Thus; the (x,y) coordinate of R'S'T'U = (12,3)
Exact form: 1/3
decimal form: 0.3333333.....
The formula for the area of a trapezoid is Area = (top + bottom)/2 x height
Using the given information we can solve for x:
234 = (20+32)/2 * X
234 = 52/2 * X
234 = 26 * X
X = 234/ 26
X = 9 units.
The answer is B.
