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.
These would have infinite solutions because this is a slope-intercept equation. Since you are provided with the y-intercept in both, you can put anything in for the slope and it will work.
Hope this helps!
The slope is 1/4 and the y-intercept is 2
Substract 6 to both sides and you get 36 =-2d then you use the multiplicative inverse and d=-18.
We can find the price per arc by dividing the total price by the amount of arc.
so in this case
5625 is the total money spent
and 4.5 is what they get when spending that amount of money
5625 / 4.5
= 1250
The price per arc is $1250
therefore, the answer is $1250.