Answer:
rolling a number cube with sides labeled 1 through 6 and tossing a coin.
Step-by-step explanation:
We will resolve each statement to determine the events that has exactly 12 possible outcomes.
N = number of possible outcomes for a cube
Nc = number of possible outcomes for a coin
Nca = number of possible outcomes for the cards
i. rolling a number cube with sides labeled 1 through 6 and then rolling the number cube again
Nt = N × N
N = 6 ( cube has 6 possible outcomes and its rolled twice)
Nt = 6 × 6 = 36
ii. tossing a coin and randomly choosing one of 4 different cards.
Nt = Nc × Nca
Nc = 2 ( coin has two outcomes)
Nca = 4 ( 4 possible cards )
B = 2 × 4 = 8
iii. rolling a number cube with sides labeled 1 through 6 and tossing a coin.
N = N × Nc
N = 6 ( cube has 6 possible outcomes)
Nc = 2 (coin has two faces)
N = 6 × 2 = 12 (correct)
Iv. tossing a coin 6 times.
N = Nc^6
Nc = 2
N = 2^6 = 64
Therefore, the correct answer is iii.
rolling a number cube with sides labeled 1 through 6 and tossing a coin.
Answer:
Li Ping's statement makes sense.
Step-by-step explanation:
The area of a square with side lengths a inches is given by, 
.
Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, 
, where, h is the perpendicular distance between the opposite sides.
See the diagram attached.
Since a is the hypotenuse of as right triangle with height h, hence, a > h.
So, 
Therefore, Li Ping's statement makes sense. (Answer)
Answer:
x=50
Step-by-step explanation:
(x-10)+x+90=180
2x-10+90=180
2x+80=180
2x=100
<u><em>x=50</em></u>
Answer: ur answer is 8
Step-by-step explanation:
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