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Amiraneli [1.4K]
3 years ago
14

Which event has exactly 12 possible outcomes?

Mathematics
1 answer:
lara [203]3 years ago
3 0

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.

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The answer is Angle T = angle N
8 0
3 years ago
Using d= rt, find r if d= 350 miles and t= 5 hours
lubasha [3.4K]

Answer:

70 miles /hour = r

Step-by-step explanation:

d=rt

Substitute d=350 miles and t = 5 hours

350 miles = r* 5 hours

Divide each side by 5 hours

350 miles = 5 hours = r

70 miles /hour = r

3 0
2 years ago
Please help me. I really appreciate it if you answered. Thank you! <3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

6 0
3 years ago
If the volume of the pyramid shown is 360 inches cubed, what is its height?
dimaraw [331]

Answer:

9 inches

Step-by-step explanation:

The formula for the volume of a rectangular pyramid is V = \frac{1}{3}(l*w*h)

  • Here we have volume (V), base (L), and width (W)
  • V = 360 in³, L = 12 in, W = 10 in

We need to manipulate the volume equation to solve for the height (H)

  • First we need to multiply both sides by 3 to get rid of the fraction:  3V = L×W×H
  • Then we need to divide both sides by (L×W) to get: \frac{3V}{lw} =h

Now we can plug in the given values:

  • \frac{3(360in^{3}) }{(12 in)(10in)} =\frac{1080in^{3} }{120in^{2} } = 9in
  • The height is 9 inches
4 0
3 years ago
A model house has a scale of 1 cm to 3 meters.If the model house 5cm,then how is tall is the house.
maksim [4K]

Answer:

15m

Step-by-step explanation:

1cm=3m

5cm is equal to 15m

6 0
3 years ago
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