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yaroslaw [1]
3 years ago
9

A fair number cube has faces labeled 2, 3, 4, 5, 6, and 7. If the number cube is rolled 300 times, about how many times should t

he result be a prime number?
A. 50
B. 100
C. 150
D. 200
Mathematics
2 answers:
9966 [12]3 years ago
8 0
The answer would be D. 200
gregori [183]3 years ago
5 0

Answer:

200

Step-by-step explanation:

Out of those 6 numbers, 4 of them are prime sow we have the ratio of 2:3

2/3 * 300 = 200

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An expression that uses variables to state a rule is a ______
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<u>Formula</u>

<em>An expression that uses variables to state a rule is a </em><u><em>formula</em></u>

<h2>Explanation:</h2>

An expression that uses variables to state a rule is a formula. It's important to know that formulas uses the equals sign (=) and includes two or more variables. Formulas gives us information that we express symbolically. For example, the well known formula for the volume of a sphere is defined as:

V=\frac{4}{3} \pi r^3 \\ \\ \\ Where: \\ \\ V:Volume \ of \ the \ sphere \\ \\ r:Radius \ of \ the \ sphere

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3 years ago
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FEE
frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)

y+2=\frac{3}{4}\left(x+4\right)

Thus, the equation in the point-slope form of the line equation is:

y+2=\frac{3}{4}\left(x+4\right)

Simplifying the equation

y+2=\frac{3}{4}\left(x+4\right)

Subtract 3 from both sides

y+2-2=\frac{3}{4}\left(x+4\right)-2

y=\frac{3}{4}x+1

Multiplying the equation by 4

4y = 3x + 4

3x - 4y = -4

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4
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A line passes through (6,3)and has a slope of 1/3
Kitty [74]

Answer:

the slope would be (2,1)

Step-by-step explanation:

it is written in (x,y) form

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What property is illustrated in the identity shown below?<br> 2(3x+1)=6x+2
Paha777 [63]
It’s a infinite because do fist 2•3x= 6x then 2•1=2 then look 6x+2=6x+2
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Answer:

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Step-by-step explanation:

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