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Marta_Voda [28]
4 years ago
11

Each face of a six-sided cube is painted a different color. The cube is rolled twice and a coin is flipped. How many different p

ossible outcomes exist?
13
24
36
72
Mathematics
2 answers:
jok3333 [9.3K]4 years ago
8 0

Answer:

D. 72

Step-by-step explanation:

We have a six-sided cube that has 6 different colours. Let's say these six colours are red (R), blue (B), green (G), yellow (Y), white (W), and purple (P).

We also have a double-sided coin, which has two possible outcomes: a head (H) and a tail (T).

Each of the 6 colours can match with each of the two sides of the coin. So we can multiply 6 by 2 to get: 6 * 2 = 12.

However, note that the cube is rolled <em>twice</em>, which means that again, each of the 6 colours from the first roll can be paired with each of the 6 colours from the second roll, which can in turn be paired with each of the two sides of the coin.

So, multiply 12 by 6: 12 * 6 = 72.

The answer is thus D.

Vaselesa [24]4 years ago
7 0

Answer:

72

Step-by-step explanation:

There are 6 possible outcomes for the first roll, 6 possible outcomes for the second roll, and 2 possible outcomes for the coin flip. Since all of the events are independent, you can simply multiply these together to get a total of 72 outcomes. Hope this helps!

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A 0.40 kg bird is flying at a constant speed of 8.0 m/s. What is the bird's kinetic energy?
nalin [4]

Answer:

The correct answer is 12.8 J.

Step-by-step explanation:

To solve this problem, we must remember how to calculate the kinetic energy of an object.

The kinetic energy is represented by the formula K = 1/2 * m * v^2, where m represents the mass of the object and v represents the speed or velocity of the object.  If we plug in the given values into the formula, we get:

K = 1/2 * m * v^2

K = (1/2) * (0.40) * (8.0)^2

Our first step is to square the velocity.  After doing this step, we get the following:

K = (1/2) * (0.40) * (64)

Finally, we can perform the multiplication, to get:

K = 12.8

The unit for kinetic energy is joules, so the correct answer is 12.8 J.

Hope this helps!

8 0
3 years ago
Read 2 more answers
In downtown Charlotte, building inspectors must regulate the height of buildings. From the top of the BB&amp;T building which is
Morgarella [4.7K]

Answer:

296.89 m

Step-by-step explanation:

assuming that both the buildings are on level ground (i.e their bases are at the same elevation), see attached.

5 0
3 years ago
One number i ix le than a econd number. Four time the firt i 2 more than 6 time the econd. Find the number
Kruka [31]

When the difference between one and two numbers is two, the two numbers are -10 and -12.

Given that,

The difference between one and two numbers is two. Twelve more than six times the second is four times the first.

We have to find the number.

We know that,

The system of equation we get

x=y-2 ----->equation(1)

4x=12+6y ----->equation(2)

Substitute for x in the equation(2)

4(y-2)=12+6y

4y-8=12+6y

4y-6y=12+8

-2y=20

y=-10

Substitute y=-10 in equation(1)

x=-10-2

x=-12

Therefore, The two numbers area -10 and -12 when the difference between one and two numbers is two.

To learn more about number visit: brainly.com/question/17429689

#SPJ4

8 0
1 year ago
The distance between earth and moon is 384000000 m. this distance can be expressed as ____m
zalisa [80]

This distance can be expressed as 3.84× 10^{8} m.

What is distance with example?

  • Distance is a scalar quantity.
  • The distance of an object can be defined as the complete path travelled by an object.

Given the distance between the earth and the moon is 384000km

Representing in exponential notation,

=384000×1000m  [∵1km=1000m]

=384× 10^{6} m

=3.84× 10^{8} m

Learn more about distance

brainly.com/question/22698433

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<u>The correct question is -</u>

The distance between the Earth and the moon is approximately 384000 km.  this distance can be expressed as ____m.

5 0
2 years ago
A spinner is divided into two equal parts, one red and one blue. The set of possible outcomes when the spinner is spun twice is
Hunter-Best [27]

A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

<h3>What is Probability?</h3>

The probability helps us to know the chances of an event occurring.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

We know about the probability, therefore, let's find the probability of each of the cases.

When the number of success of the spinner landing on blue is none, therefore, the spinner does not land on the blue color at all.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there is only one case when the spinner does not land on the blue side(RR) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability(X=0)=\dfrac{1}{4} = 0.25

When the number of success of the spinner landing on blue is just once, therefore, the spinner does land on the blue color only once out of the two spin.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there are two cases when the spinner does land on the blue side(RB, BR) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability(X=1)=\dfrac{2}{4} = 0.25

When the number of success of the spinner landing on blue is twice, therefore, the spinner does land on the blue color both the times the spinner is spun.

\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}

Now, as it is given that there is only one case when the spinner does land on the blue side twice(BB) in the set, S = {RR, RB, BR, BB}. therefore,

\rm{Probability=\dfrac{1}{4} = 0.25

Now, if we draw the table of the data and the probability we will get the following table,

x             P(X)

0           0.25

1            0.50

2           0.25

Hence, the table that is correct is table A, which is  A 2-column table that has 3 rows. The first column is labeled x with entries 0, 1, 2. The second column is labeled P x (x) with entries 0. 25, 0. 5, 0. 25.

Learn more about Probability:

brainly.com/question/795909

8 0
2 years ago
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