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solniwko [45]
3 years ago
5

If a coin is tossed and a number cube is rolled, what is the probability that the coin shows heads and the number cube shows 3

Mathematics
1 answer:
gladu [14]3 years ago
6 0
Assuming the number cube is a die numbered 1-6,
The probability of flipping a coin and getting heads and the probability of rolling a 3 on the die are independent of each other. 

-There are two sides of a coin, heads and tails. You have two possible results from the coin - heads, or tails. You have a 1 in 2 probability of getting either.

-There are six sides of a die. There are six possible results from the die - 1, 2, 3, 4, 5, and 6. You have a 1 in 6 probability of getting any of the results.

The probability of both happening (<em>and</em>) can be determined by multiplying the two probabilities.

Hope this helps!
-refrac532
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The value could be rewritten as 2(x+4)
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In Argentina, a cow on a ranch is expected to need an average of 4200 m2
nika2105 [10]

The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.

And we are asked to find the total area of their grazing but in hectares. So, we can write:

1 \: cow = 4200 \:  {m}^{2}

Then, for 4500 cows:

4500 \: cows = 4200 \:  {m}^{2}  \times 4500

4500 \: cows = 18900000 \: m {}^{2}

We know that, 1 hectares = 10000 m² = 10⁴ m²

Then let the area of the field be x in hectares:

1 \: hectare = 10000 \:  {m}^{2}

x \: hectare = 18900000 \:  {m}^{2}

Then, putting them in proportion, We will get:

x =  \dfrac{18900000}{10000} hectares

x =  \boxed{ 1890 \: hectares}

So, the total area in hectares = <u>1</u><u>8</u><u>9</u><u>0</u><u> </u><u>hectares</u><u>.</u>

And we are done !!

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6 0
3 years ago
Consider the formula for the slope between two coordinates
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The following equations is equivalent to the slope formula is A) y₂= m(x₂-x₁) + y₁.

<h3>What is slope?</h3>

The angle of inclination of a line with respect to the horizontal is quantified. In analytical geometry, a line, ray, or line segment's slope is the proportion of the vertical to the horizontal distance between any two points ("slope equals rise over run").

<h3>What is equation?</h3>

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. We discover that the variable x has a value of 7 after solving this equation.

Given that,

Take a look at the formula below for the slope between two coordinate locations, m.

m = \frac{y_{2}- y_{1} }{x_{2}-x_{1}  }

Here, slope is

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Where m is the slope and y₁ and y₂ and x₁ and x₂ are coordinates of the axis.

The first step is to multiply x₂-x₁ on both sides in order to acquire y₂ on its own.

so you must add y₁ to both sides in order to get y₂ alone.

m(x₂-x₁) +y₁ = y₂.

Therefore, the following equations is equivalent to the slope formula is A) y₂ = m(x₂-x₁) + y₁.

To know more about the slope, visit:

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The subtraction sign is also the negative sign. So in this case, the expression is also saying -x, which means there is two negative signs.

A double negative is a positive, so in this case the x will be turned to a positive integer.

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The two negative signs turn into one positive sign, AKA an addition sign. So, the above expression can be simplified as 10 + 2, or 12.

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