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Elina [12.6K]
3 years ago
15

What is the probability for tossing a number cube numbered from 1 to 6 and getting an odd number that is less than or equal to 3

?
Mathematics
1 answer:
Genrish500 [490]3 years ago
6 0
1/3 or 33%.

Odd numbers on a die

1
3
5

Less than or equal to 3, so we eliminate 5.

1
3
Those are 2 numbers of 6 numbers, so 2/6. Simplified it would be 1/3.
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What is the volume of the figure ? <br> A.25.1cm <br> B.50.3cm<br> C.100.5cm<br> D.201.1cm
Dmitry_Shevchenko [17]
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6 0
4 years ago
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How do you write the problem fifteen more than twice a number is eight more than three times the number?
Evgen [1.6K]
we call n - the number 

2×n + 15 = 3×n + 8


2×n - 3×n = 8 - 15

-n = -7  │ ×(-1)

n=7
5 0
3 years ago
My coffee mug weighs 200 g and hold 260cm3 .
yarga [219]

The coffee mug when filled will weigh 460 g

<h3>Calculating mass</h3>

From the question, we are to determine the weight of the mug if filled with water

From the given information,

The weight of the coffee mug is 200 g and holds 260cm³.

If filled with water, the volume of the water will be 260cm³.

Now, we will determine the mass of this volume of water

Using the formula,

Density = Mass/Volume

∴ Mass = Density × Volume

Volume = 260 cm³

Density of water =  1 g/cm³

∴ Mass of the water = 1 × 260

Mass of the water = 260 g

Mass of the coffee mug when filled with water = Mass of the coffee mug when empty + Mass of water  

Mass of the coffee mug when filled with water = 200 g + 260 g

Mass of the coffee mug when filled with water = 460 g

Hence, the coffee mug when filled will weigh 460 g

Learn more on Calculating mass here: brainly.com/question/17385315

#SPJ1

5 0
1 year ago
What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction
katovenus [111]

Answer:

\dfrac{5}{y+5}

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: \dfrac{3y}{y^{2}+7y+10}

2nd fraction: \dfrac{2}{y+2}

Considering the denominator of 1st fraction:

y^{2}+7y+10

Using factorization method:

7y can be written as (2y + 5y).

\Rightarrow y^{2}+2y+5y+10

Taking <em>5 common</em> from 5y+10 and <em>y common</em> from y^{2}+2y: \Rightarrow y(y+2)+5(y+2)

Now taking (y+2) common:

\Rightarrow (y+5)(y+2)

\dfrac{3y}{y^{2}+7y+10} can be written as \dfrac{3y}{(y+5)(y+2)}

Now, calculating the sum:

\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}

Taking <em>LCM</em> and solving:

\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}

Hence, answer is \dfrac{5}{y+5}.

4 0
3 years ago
Write the equation for g (x)
alisha [4.7K]

By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.

<h3>How to determine the equation of a line parallel to another line</h3>

In accordance with the analytical geometry, two lines are <em>parallel</em>  when they share the <em>same</em> slope (m) but <em>different</em> intercepts (b). <em>Linear</em> functions are usually are described by the following form:

y = m · x + b     (1)

Where:

  • x - Independent variable
  • y - Dependent variable

Based on the given information, we conclude that g(x) has a slope of -4/17. Lastly, we use (1) and the given point to determine the intercept of the function:

27 = -(4/17) · (-1) + b

b = 455/17

By taking advantage of characteristics between two <em>parallel</em> lines we conclude that the <em>linear</em> equation <em>parallel</em> to f(x) is g(x) = -(4/17) · x + 455/17.

To learn more on linear functions: brainly.com/question/21107621

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5 0
2 years ago
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