Two dice are rolled at the same time. The first die shows a 2. Given that is a random variable that represents the sum of the results shown by the two dice, what are the possible values of X?

Answers

Answer 1

Answer:

3 ≤ X ≤ 8

Step-by-step explanation:

A die has 6 faces numbered from 1 to 6.

If two dice are rolled at the same time and the first die already shows a 2. Then the second die will show any number between 1 and 6 inclusive.

X which is the sum of the results shown by the dice will always be greater than or equal to 3 but less than or equal to 8. This is because the first die already shows a 2 and the second die will always be a number between 1 and 6 inclusive. i.e

X = result from die 1 + result from die 2

X = 2 + [1, 6]

X = [3, 8]

In other words, the minimum value of X is 3 and the maximum value of X is 8.


Related Questions

Please answer quick! The question is in a file down below.

Answers

Answer:

perimeter= 9+9π cm

area= 40.5-10.125π cm²

Step-by-step explanation:

area of the square =9x9=81cm²

area of the two semicircles which have the same diameter =area of one circle

= (9÷2)²π =(81÷4)π

area of the whole shaded part = 81- (81÷4)π cm²

the area of each shaded part= (81-(81÷4)π)÷2

= 40.5-10.125π cm²

circumference of 2 semicircles= circumference of 1 circle = 2πr = 2x9xπ= 18π cm

then are perimeter of the whole shaded part = 18π+9+9= 18+18π cm

perimeter of each shaded part = (18+18π)÷2=

9+9π cm

ILL BRAINLIEST YOU PLEASE HELP ME HOW DO I DRAW MY TRIANGLE

Answers

Step-by-step explanation:

I attached The photo of answer

-TheUnknownScientist

What type of triangle is 70 70 40?

Answers

70-70-40 is an isosceles triangle.

The isosceles triangle has three acute angles, which means that the angles are less than 90°.The summation of three angles of an isosceles triangle is always 180°. In an isosceles triangle, if two sides are equal, then the angles opposite to the two sides correspond to each other and are also always equal.The two equal sides are defined as the legs and the third side is defined as the base of the triangle.The two angles opposite the legs are equal and are always acute, so the categorization of the triangle as acute, right, or obtuse depends only on the angles between its two legs.

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Help !!! Brainlisest

Answers

Answer:

(x, y ) → (x + 11, y - 11 )

Step-by-step explanation:

Consider the point U and its image U'

U (- 9, 1 ) → U' (2, - 10 )

This represents a shift of 2 - (- 9) = 2 + 9 = + 11 → in the x- direction and

- 10 - 1 = - 11 ↓ in the y- direction

This can be shown in the translation rule

(x, y ) → (x + 11, y - 11 )

3 times one number minus a second is 8 and the sum of the numbers is 12

Answers

Answer: 3x-y=8

Step-by-step explanation:

What is the product? 3a(8a - 6b)

24a² - 6b

24a² - 6ab

24a² - 18b²

24a² - 18ab

Answers

The answer is the last one.

Explanation:

3a(8a - 6b)
3a x 8a - 3a x 6b
24a^2 - 3a x 6b
24a^2 - 18ab

The product of expression is 24a² - 18ab.

What is Polynomial?

A polynomial is a sort of algebraic expression in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, however we cannot divide polynomials by variables.

We have,

3a( 8a - 6b)

Now, multiplying the expression as

= 3a(8a) - 3a(6b)

= 24a² - 18ab

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The table below shows the number of minutes played (x) by various basketball players and the number of rebounds (y) they had.

Scatter plot that has 2 through 20 for x and 1 through 10 for y.



a. Draw a scatter plot of the data. Label the axes.



b. Find an equation for a line of best fit.



c. Use your equation from part b above to predict how many rebounds a player would have if they played 30 minutes in the game.

I will give all my points to the first person that answers.

Answers

Answer:

A

Step-by-step explanation:



anyone help please?

Answers

Answer:

The transformation is a reflection over the y axis

Is the area of an equilateral triangle is 196 root 3 cm square then each of its side is?

Answers

Therefore , In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

What is triangle?

Triangular polygons in geometry are those with right side and three vertices. There are three straight sides to this two-dimensional shape. Three-sided polygons include triangles. A triangle's three angles add up to a whole 180 degrees. A single plane contains the triangle.

What is polygons ?

A polygon is a closed two-dimensional geometric shape that has three or more straight sides. The sides of a polygon are called edges and the points where the edges meet are called vertices.

Here,

We must apply the mathematical procedure for computing an equilateral triangle's area.

An equilateral triangle's area is equal to 3/4 of each side; assume that each side is x cm long.

[3/4 (a)2] cm2 is the equilateral triangle's surface area.

In light of the information mentioned in the query,

√3/4 × (a)² = 196√3

a²/4 = 196√3/√3

a²/4 = 196

a² = 196×4

a² = 784

a = √784

a = 28

In the instance of an equilateral triangle, each side's length (3 sides are equal) is equivalent to 28 cm.

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Question 3: Use the graph to fill in the blank with the correct number. f(3) =
10A
5

0
5

-5.
-10%
Your answer

Answers

Answer:

f(3) = 2

Step-by-step explanation:

See the attached graph.  f(3) = ____ is asking us to find the value of the function, f, at the point x = 3.  At x = 3, the value of y is 2.

What is the domain and range of √ X 2?

Answers

The domain of √ X  2 is X ≥ 4. The range is all real numbers.

Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.

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In direct variation where y = kx, if y = 18 and x = 4, what is the value of x when y = 36 ?

Answers

Answer:

18/4x36/x

18x=4x36

18x=144

x=144/18

x=8

Answer:

x = 8

Step-by-step explanation:

Given

y = kx ← k is the constant of variation

To find k use the condition y = 18, x = 4 , then

18 = 4k ( divide both sides by 4 )

4.5 = k

y = 4.5x ← equation of variation

When y = 36, then

36 = 4.5x ( divide both sides by 4.5 )

8 = x

Frank earns an annual salary of $42,800. He pays 8% in total taxes. How much money will Frank pay in taxes each year?

Answers

Answer:

$3424

Step-by-step explanation:

42800 x .08

.08 = 8%

A solution set always includes...

A. all the numbers that make the inequality false.

B. all the numbers that make the inequality true.

C. zero and infinity.

D. negative infinity.

Answers

I think the answer is going to be a

Answer:

A

Step-by-step explanation:

i got the same answer and got ir right

What is the unknown fraction?

Answers

Answer:

47/100

Step-by-step explanation:

we will shift the 2/10 to the other side and change the sign to minus

What is the value of x? Solve for x. You may build and solve the equation on your Equation Mat. Or you may solve the equation algebraically (to the right). Of this -2x-2=3 (-x+2 )

Answers

Answer:

[tex] - 2x - 2 = 3( - x + 2) \\ - 2x - 2 = - 3x + 6 \\ - 2x + 3x = 6 + 2 \\ x = 8[/tex]

im homeschooled and someone asked me if I was in school and I said "yes" and he asked if I was in "7th period" I literally dont know what that means :)

Answers

There is no 7th period, so no you aren't in 7th period.

How do you find the sides of an isosceles triangle given the angles?

Answers

To find the sides of an isosceles triangle given the angles, use the Law of Cosines to calculate the length of each side.

An isosceles triangle has two angles and two sides that are both equal.. To find the sides, you will need to use the Sine Law. The Sine Law states that the ratio of the length of a side of a triangle to the sine of its opposite angle is equal for all sides and angles of the triangle.

For example, if you have the angles A and B, and you know that they are both equal (i.e. they are the angles of an isosceles triangle), then you can use the Sine Law to calculate the length of the sides:

Side AB = Side BC = (Side AC) x (Sin A / Sin B)

Where A and B are the angles of the triangle and Side AC is the known side length.

Once you have calculated the length of the two equal sides, you can then use the Pythagorean Theorem to calculate the length of the third side (the base).

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MATH HELP CALC

LOOK AT IMAGE

Answers

The right Riemann sum for the given function is 2.5.

Firstly, we must find the width of each of the subintervals Δx,

We know n = 4, a = 0, b = 2

∴ Δx = b - a / n

Δx =  2 - 0 / 4

Δx = 1/2

The width of each rectangle is 0.5

Next, we must find the locations of the right endpoints of the rectangles -

x1 = a + Δx(1) = 0.5

x2 = a + Δx(2) = 1

x3 = a + Δx(3) = 1.5

x4 = a + Δx(4) = 2

Now that we have the width of each rectangle, Δx = 0.5, and the right endpoints for the rectangles, x1 = 0.5, x2 = 1, x3 = 1.5, x4 = 2.

we can compute the right Riemann sum.

Computing the sum of the areas of the rectangles:

∑Δx f(x) =  ∑ 0.5f(xi)

= 0.5 f(x1) + 0.5 f(x2) + 0.5 f(x3) + 0.5 f(x4)  

= 0.5 (0.5) + 0.5 (1) + 0.5 (1.5) + 0.5 (2)

= 2.5

[tex]\int\limits^2_0 {x^{3} } \, dx[/tex]   ≈ 2.5

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Find the value of x. Round to the nearest tenth.

Answers

Sin 21 = x/30
x = 30sin21 = 10.75 = 10.8 (to nearest tenth)

6n = 21 what is the answer

Answers

Answer:

Decimal: n = 3.5

Fraction: n = 7/2

Step-by-step explanation:

6n = 21

n = 21/6

n = 7/2

n = 3.5

Answer:

3.15

Step-by-step explanation:

Divide 21 by 6

Clara baked a sheet cake with a length of 0.5 meters. She covered the cake in small 1 frosting polka dots that are the length of the cake. What is the approximate 100 length of a polka dot, in meters?​

Answers

Answer:

kkuguftfhbnkmom ugvtvtv uvbuub

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

C) {6+√43, 6-√43}

Step-by-step explanation:

Applying,

x = [-b±√(b²-4ac)]/2a.................... Equation 1

From the question,

Given: a = 1, b = -12, c = 7

Substitute these values into equation 1

x = [-(-12)±√(-12²+4×1×7)]/2×1

x = [12±√(144+28)]/2

x = [12±√172]/2

either,

x = (12-√172)/2

x = (12-2√43)2

x = (6+√43)

or

x = (12+√172)/2

x = (12+2√43)/2

x = (6+√43)

Hence,

The right answer is C). {6+√43, 6-√43}

Mark has 10 pens. Kate has 5 times as many pens as Mark.
Which equation below answers how many pens Kate has? (y = number of
Kate's pens)
10 = 5 x y
B
10 = 5 + y
c.
y = 5 x 10
D
y = 10 - 5

Answers

Answer:

The answer to this questions is A

The answer to this question is A

HELP ME PLEASE AND THANK YOUUU

Answers

Answer:

x=3 y=1

Step-by-step explanation:

-2/3x+3=2x-5

x=3

y=-2/3(3)+3

y=1

y=2(3)-5

y=1

What does → mean in math?

Answers

â' in mathematics refers to the hexadecimal representation of the number 10.

What does hexadecimal notation provide for?

In machine code and assembly programming languages, hexadecimal is widely utilised. It is frequently used to refer to memory addresses. It can be used to represent numbers kept in a CPU's registers or in main memory, as well as during the debugging phase of designing a computer programme.

How is the hexadecimal notation read?

Although there are six more digits to consider, counting in hex is very similar to counting in decimal. When a digit position exceeds "F," you roll that place over to "0" and increase the digit to the left by 1. And once you've reached 1F16, move on to 2016 and keep churning the right-most

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Which of the following is correctly written in Standard Form?

Answers

Therefore , the solution to the given problem of equation comes out to be4x-3y = 6 as a standard equation in all the above options.

An equation's definition

An equation is a representation of two identical variables in mathematics, one on either side of an equals sign. Common difficulties can be solved using equations. We frequently seek pre algebra help when faced with obstacles in real life. Lessons in pre-algebra cover the basics of mathematics.

Here,

Given : 4x-3y = 6

-4x + 2y =8

=> y = 4/5x + 4

=> 4/5x + 2y = 6

Thus ,

From the above following equations we get ,

4x-3y = 6

as a standard equation in all the above options.

Therefore , the solution to the given problem of equation comes out to be 4x-3y = 6 as a standard equation in all the above options.

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(PLEASE HELP)
Which expression is represented on the number line?

Answers

Answer:

F .0-(-8) I think so..........................

Answer:

F is represented on the number line

Cars enter a car wash at a mean rate of 4 cars per half an hour. What is the probability that, in any hour, exactly 4 cars will enter the car wash? Round your answer to four decimal places.

Answers

The probability that exactly 4 cars will enter the car wash in an hour is 0.195

What is the probability that, in any hour, exactly 4 cars will enter the car wash?

Generally, This is a Poisson process, where the mean number of cars entering the car wash is 4 cars per hour. The probability of exactly 4 cars entering in an hour is given by the Poisson probability mass function:

P(X = 4) = (e^(-4) * 4^4) / 4!

where e is approximately 2.71828, and 4! is

4 * 3 * 2 * 1 = 24.

Plugging in the values, we get:

P(X = 4) = (2.71828^(-4) * 4^4) / 24

P(X = 4) =0.195

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PLS SOMEONE HELPP I NEED THIS ASAP

Answers

The rate of change for the graph, when x=0 and x=1 is 2 units.

What is average rate of change?

This expression represents the average rate of change of the function f(x) over the range a<=x<=b, is less than or equal to x, and is less than or equal to b -

[f(b)-f(a)]/b-a

The rate of change of graph is determined by the formula -

[f(b)-f(a)]/b-a

[f(1)-f(0)]/1-0

Here, in the graph it can be clearly seen that f(0)=-1 and f(1)=1.

Plugging in the values -

[1-(-1)]/1

(1+1)/1

2

Therefore, the rate of change is 2 units.

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