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Kipish [7]
3 years ago
7

What is the probality of rolling a sum of 5 if two regular 6 -sides number cubes are rolled

Mathematics
1 answer:
Dmitry [639]3 years ago
8 0

Each die has six numbers, the total number of possible combinations is 6 * 6 = 36


The combinations in which you can get a sum of 5 are:  1 &4, 2 & 3, 4 &1, 3 &2

There are 4 different combinations of getting a sum of 5.


The probability would be 4/36, which reduces to 1/9

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A rectangular gym has an area of 4x^2 ft². The school decides to add a new weight room. The total area of the gym and the weight
anygoal [31]
For this case the new area is the sum of two areas:
 Area = rectangular gym + weight room
 Area = (4x² + 520) ft²
 In addition, we know that
 rectangular gym = 4x ^ 2 ft²
 Therefore, the term 520 represents a new weight room
 answer
 The constant term represent a new weight room
8 0
3 years ago
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Two birds sit at the top of two different trees. The distance between the first bed and a birdwatcher on the ground is 34 feet t
stira [4]

Answer:

Step-by-step explanation:

The given triangle is a right angle triangle.

The distance between the first bed and the bird watcher on the ground represents the opposite side of the right angle triangle.

The distance between the birdwatcher and the second bird is 47 feet. This represents the hypotenuse of the right angle triangle. To determine the angle of depression, x degrees, we would apply the Sine trigonometric ratio which is expressed as

Sin θ = opposite side/hypotenuse

Sin x = 34/47 = 0.723

x = Sin^-1(0.723)

x = 46.3 degrees to the nearest tenth.

5 0
3 years ago
Read 2 more answers
2) The following table presents the probability distribution of the number of vacations X taken last year for a randomly chosen
algol [13]

The mean of the discrete probability distribution is of 1.28.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

Then, considering the given distribution, the mean is given by:

E(X) = 0(0.13) + 1(0.61) + 2(0.15) + 3(0.07) + 4(0.04) = 1.28.

More can be learned about the mean of a discrete probability distribution at brainly.com/question/24855677

3 0
2 years ago
At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while
aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is \theta

Thus, by the question,

tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}

\implies tan\theta = \frac{x}{x}    ( at 3pm the height of shadow = height of the pole)

\implies tan\theta = 1

\implies \theta = 45^{\circ}

Again, according to the question,

When the angle of elevation is   (\theta - 12^{\circ}),

The height of shadow = x + 95,

\implies tan(45-12)^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}=\frac{x}{x+95}

\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x

\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}

\implies -0.3505924068 x = - 61.6937213538

x=175.969930202\approx 175.97\text{ cm}

4 0
3 years ago
Can someone help please ?
Reika [66]

Answer:

Step-by-step explanation:

12.8/2 = 96 / 2 = 48

the answer is the first one

<h2>have a nice day!</h2>
6 0
3 years ago
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