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2 years ago

Mia is rolling a pair of 6-sided dice.

Mathematics

2 answers:

tekilochka [14]2 years ago

7 0

Answer:

The domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

Step-by-step explanation:

A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.

Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.

Hence, the domain of P is given by,

{n | n ∈ N, 2 ≤ n ≤ 12}

irga5000 [103]2 years ago

4 0

Answer:

integers

Step-by-step explanation:

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67. The line contains the point (4,0) and is parallel to the line defined by 3x = 2y.

olganol [36]

Answer:

$y=\frac{3}{2} x-6$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form:

$y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

Parallel lines will always have the same slope but different y-intercepts.

1) Determine the slope of the parallel line

Organize 3x = 2y into slope-intercept form. Why? So we can easily identify the slope, m.

$3x = 2y$

Switch the sides

$2y=3x$

Divide both sides by 2 to isolate y

$\frac{2y}{2} = \frac{3}{2} x\\y=\frac{3}{2} x$

Now that this equation is in slope-intercept form, we can easily identify that $\frac{3}{2}$ is in the place of m. Therefore, because parallel lines have the same slope, the parallel line we're solving for now will also have the slope $\frac{3}{2}$ . Plug this into $y=mx+b$ :

$y=\frac{3}{2} x+b$

2) Determine the y-intercept

$y=\frac{3}{2} x+b$

Plug in the given point, (4,0)

$0=\frac{3}{2} (4)+b\\0=6+b$

Subtract both sides by 6

$0-6=6+b-6\\-6=b$

Therefore, -6 is the y-intercept of the line. Plug this into $y=\frac{3}{2} x+b$ as b:

$y=\frac{3}{2} x-6$

I hope this helps!

7 0

2 years ago

X/10 + 6 >= 8 What is the solution to this inequality

GuDViN [60]

Answer:

x >= 20

Step-by-step explanation:

Solve for x:

Start to isolate x by subtracting the 6 from both sides.

Then multiply 10 from each side.

After that, you would get x >= 20

8 0

2 years ago

The difference between two numbers is 7. The sum of twice the larger number and three times the smaller number is 19.

Alex17521 [72]

Answer:

x= 8 y= 1

Step-by-step explanation:

First, you identify your variables:

x= larger number

y= smaller number

Second, you find your equations:

x - y = 7

2x + 3y = 19

Third, (I used the substitution method) you make "y" by itself for the 1st equation.

y = x - 7

2x + 3y = 19

Then, you plug in the 1st equation for "y" in the 2nd equation

2x + 3(x - 7) = 19

Then, you distribute and simplify.

2x + 3x - 21 = 19

5x - 21 = 19

5x = 40

x = 8

Finally, you plug in the variable you found ( x ) into one of the equations and solve,

8 - y = 7

- y = -1

y = 1

6 0

2 years ago

The Pythagorean Identity states that:

Oksi-84 [34.3K]

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)² = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

7 0

2 years ago

Please help me with this question i’ve tried 2, 4, 8, -8, 0 and none of those answers worked

Airida [17]

Answer:

Step-by-step explanation:

If the x-value is -4, go to -4 and go up to the line.

3 0

2 years ago