A pair of fair dice will be rolled. Let the random variable X = the sum of the numbers shown on their faces. The probability distribution of X is given in the table.

A 2-column table with 11 rows. Column 1 is labeled sum with entries 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. Column 2 is labeled probability with entries 0.028, 0.056, 0.083, 0.111, 0.139, 0.167, 0.139, 0.111, 0.083, 0.056, 0.028.
What is the probability that the dice show a sum of at least 6?

P(X ≥
) =

Answers

Answer 1

Answer: 12 and 0.972

Step-by-step explanation: am doing it


Related Questions

What does X equal. -356 = -77 -9x
This is grade 7 math.

Answers

Answer:

x = 2.82 (approx.)

Step-by-step explanation:

Given,

- 356 = -77 - 99x

=> -77 - 99x = -356

=> -99x = -356 + 77

=> -99x = -279

[tex] = > x = \frac{ - 279}{ - 99} [/tex]

=> x = 2.8181....

=> x = 2.82 (approx.) (Ans)

get the standard form and slope-intercept form
1. 5x - 6y - 12 = 0
2. y - 2 = 2/3 (x+3)
3. y -9 = 1/7 (x+4)
4. y-8 = - 7/2 (x - 2)

Answers

Answer: To obtain the standard form of a linear equation, we want to rearrange the equation in the form Ax + By = C. Here are the standard forms of the given equations:

5x - 6y = 12

3y - 2x - 6 = 0

7x + y - 63 = 0

14x - y + 16 = 0

To obtain the slope-intercept form of a linear equation, we want to rearrange the equation in the form y = mx + b, where m is the slope and b is the y-intercept. Here are the slope-intercept forms of the given equations:

There is no y-intercept, so this equation does not have a slope-intercept form.

y = (2/3)x + 2

y = (1/7)x + 9

y = (-7/2)x + 8

Step-by-step explanation:

which system of inequalities is represented on this graph? NEED THIS ASAP picture below

Answers

system B is the correct answer

How would I do this?

Answers

[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{28p^5-8p^4 + 40p^2}{4p^3}\implies \cfrac{28p^5}{4p^3}-\cfrac{8p^4 }{4p^3}+\cfrac{ 40p^2}{4p^3}\implies 7p^5 p^{-3}-2p^4 p^{-3}+10p^2p^{-3} \\\\\\ 7p^{5-3}-2p^{4-3}+10p^{2-3}\implies 7p^2-2p+10p^{-1}\implies 7p^2-2p+\cfrac{10}{p}[/tex]

For what value of m inequality is always true mx²+3mx+2>0?​

Answers

Answer:

Step-by-step explanation:

Which of the following is a factor of 2x^2 3x 5?

Answers

The factor of the given expression is -1 and 5/2 first we try to solve given expression as a quadratic equation then we make 2 terms equal to 0.

first, try to understand what is the factor of a quadratic equation.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics. As an illustration, 3 and 6 are factors of 12 because 12 3 = 4 and 12 6 = 2, respectively. 1, 2, 4, and 12 are the other components that make up 12.

The roots of a quadratic equation are known as a factor. This means if we put the value of x to factor then the quadratic equation will become zero.

2x^2 - 3x - 5 = 2x^2 - (5-2)x - 5

3 can be written as 5-2.

2x^2 - 5x + 2x - 5

x(2x - 5) +1(2x-5)

(2x - 5)(x + 1)

So the factors is 2x -  5 = 0 or x  + 1 = 0.

2x - 5 = 0  , x = 5/2.

x + 1 = 0 , x = -1.

Given question is  incomplete complete  question here:

Which of the following is a factor of 2x^2 - 3x - 5?

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as an estimation we are told 5 miles is 8km convert 30
miles to km

Answers

Find the scale:

30 miles / 5miles = 6

Multiply km by the scale:

8 km x 6 = 48 km

The answer is 48 km

Answer: 48km

Step-by-step explanations:. It's just simple cross multiplication.

5miles----->8km

30miles---->?km

Answer is ( 30×8)÷5= 48km

What is linear equation 8th class?

Answers

An equation in which the highest power of the variable is 1 is known as a linear equation. It is also termed a one-degree equation.

There are two types of linear equations, linear equations in one variable and linear equations in two variables. The standard form of a linear equation in one variable is Ax + B = 0. Where x = variable, A = coefficient and B = constant.

The standard form of a linear equation in two variables is Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always formed in a straight line. That is why it is named a 'linear equation'.

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Someone help me out my grade are bad

Answers

Answer:

a= 7w

Step-by-step explanation:

hope this helps :)

Please help with this question

Answers

Answer:

C

Step-by-step explanation:

Start with the vertex. It is the lowest point. It is located at (-2,4)

The axis of symmetry is always the x value when the parabola opens upward or down ward. This parabola opens upward so it is x = - 2.

The answer is C

Help Pls Due In 10 Mins

Answers

Answer:

D. Rotate triangle P 90° counter clockwise about point K, and then reflect it across a horizontal line through point K

Six times a number less 20 is the same as four times the same number increased by 6. Find the number

Answers

Answer:

13.

Step-by-step explanation:

Solution

Let X be the number.

Given information from the question, we can formulate an equation:

Six times a number less 20 = 4 times the same number increased by 6

6X - 20 = 4X + 6

From the equation, we can solve for X.

6X - 4X = 6 + 20

2X = 26

X = 26 ÷ 2

X = 13

Therefore the number is 13.

The value of the unknown number is = 13.

Let the unknown number be expressed by the variable = x.

According to the question, the mathematical linear equation in one variable that is 'x' can be expressed as:

=> 6x - 20 = 4x + 6

=> 6x - 4x = 6 + 20

=> 2x = 26

=> x = 26/2

=> x = 13

Therefore, the value of 'x' which is the unknown number is 13.

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Plz help no link thank you

Answers

Answer:

x = 79

Step-by-step explanation:

This is an isosecles triangle so the bottom angles have equal measure

and since the sum of interior angles in a triangle is equal to 180

2x + 32 = 180 subtract 32 from both sides

2x = 158 divide both sides by 2

x = 79

What must be added to 5x³ 2x² 6x 7 to make the sum X 3x² x 1?

Answers

To make the sum X 3x² x 1, you must add -5x³ -2x² -6x -7 to 5x³ 2x² 6x 7.

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.

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I need help please you haft to use elimination to solve thanks

Answers

-7x+14y=-14
-3x+7y=-3
when using elimination you need to multiply or divide one equation to be able to “eliminate” a variable.
-7x+14y=-14
-2(-3x+7y=-13)
multiply the second equation by -2
-7x+14y=-14
6x-14y=6
simplify
-1x=-8
divide by -1 on both sides to isolate the x
x=8
now you can plug in 8 for x in one of the equations.
-3(8)+7y=-3
simplify
-24+7y=-3
add -24 to both sides the isolate the constant and variable
7y=21
now divide by 7 on both sides to isolate y
y=3
this system of equation had one solution at (8, 3)

i hope this helps :)

Given: ​ ​△ACE,BD¯¯¯¯¯∥AE¯¯¯¯¯​ ​ Prove: BACB=DECD A triangle with vertices labeled as A, C, and E, with base A E. Sides C A and C E contain midpoints B and D, respectively. A line segment parallel to base A E is drawn from point B to D. Angle C A E is labeled as 4 and angle C E A is labeled as 3. Angle C B D is labeled as 1 and angle C D B is labeled as 2. Drag an expression or phrase to each box to complete the proof. Statement Reason ​△ACE,BD¯¯¯¯¯∥AE¯¯¯¯¯​ Given Response area Corresponding Angles Postulate △ACE∼△BCD Response area CACB=CECD Definition of similar triangles ​CA=CB+BACE=CD+DE​ Segment Addition Postulate ​CB+BACB=CD+DECD​ Substitution Property of Equality ​CBCB+BACB=CDCD+DECD​ ​ Addition of fractions ​1+BACB=1+DECD​ Simplification of fractions Response area Subtraction Property of Equality

Answers

For triangle ACE, if BD ∥AE , then BA/CB = DE/CD is proved.

For given triangle ACE,

BD || AE                             ...............(Given)

∠4 ≅ ∠1 and ∠3 ≅ ∠2      ..............(Corresponding Angles Postulates)

ΔACE ~ ΔBCD                  .............(Angle-Angle Similarity Postulate)

CA/CB = CE/CD                ............(Definition of similar triangles)

CA = CB + BA, CE = CD + DE           ..........(Segment Addition Postulate)

(CB + BA)/CB = (CD + DE)/CD   ..........(Substitution Property of Equality)

CB/CB + BA/CB = CD/CD + DE/CD  .........(Addition of Fractions)

1 + BA/CB = 1 + DE/CD                  .............(Siplification of fractions)

BA/CB = DE/CD                   ...............(Subtraction Property of equality)

Hence proved.

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What's the value of y is point a is (2,1) and point b is (8,y) and the slope is 5/2

Answers

Answer:

16

Step-by-step explanation:

A ​$280 suit is marked down by ​30%. Find the sale price.

Answers

Answer: The Sale price is $196

Step-by-step explanation:

We can start by converting 30% to a decimal 0.3, then we will multiply the $280 by the decimal (280*0.3 = $84) This means it is marked down by $84, so to get the sale price we subtract the mark down by the original price, ($280-$84 = $196).

Answer:

The suit's sale price is $196.

Step-by-step explanation:

What is "mark down"?

the percentage the price of an item is reduced by

To find the sale price, we need to form an equation representing the given situation.

MARK DOWN:

original price - (mark down percentage)(original price) = sale price

Substitute the known values.

280 - (0.3)(280) = sale price

Compute.

280 - 84 = sale price

∴ $196 = sale price

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What value of x makes the equation true?

Answers

Answer:

Step-by-step explanation:

Look at the triangle shown below.
107º
(2x - 5)º

Which equation can be used to find the value of x?
O x + 2x - 5 = 107
O 107 + 2x - 5 = 180
107 + 2x - 5 + x = 180
X + 2x -5 = 180

Answers

Answer:

C. 107 + 2x - 5 + x = 180

Step-by-step explanation:

The sum of interior angles of a triangle = 180°

Therefore, to find x, we would state that all three angels indicated in the figure above equals 180°.

Thus:

107 + 2x - 5 + x = 180

We can solve and find the value of x using the equation above

Answer:

C

Step-by-step explanation:

Find the area of the polygon with the given vertices.
W(-1, 1)
-4
Z(-3,-2)
4
Ay
2
-4
2
X(4,1)
4 x
Y(2,-2)

Answers

The area of a polygon with the given vertices is calculated by adding the areas of the individual triangles that make up the polygon.

What is polygon?

A polygon is a closed figure in a plane consisting of a set of straight line segments connected end-to-end. The sides of a polygon are all of equal length, and the angles between them are all of equal measure. Polygons are one of the most fundamental shapes in geometry. They include triangles, squares, rectangles, hexagons, and many more.

The area of triangle WXZ is calculated as (1/2) × |XW × ZY|,

where XW is the vector from W to X and ZY is the vector from Z to Y.

In this example,

XW = (3, -2) and ZY = (-2, -4).

Therefore, the area of triangle

WXZ is (1/2) ×|(3, -2) × (-2, -4)| = (1/2) × 14 = 7.

The area of triangle XYA is calculated similarly,

where XY = (2, 3) and YA = (-2, -4).

Therefore, the area of triangle

XYA is (1/2) ×|(2, 3) ×(-2, -4)| = (1/2)× (-14) = -7.

The area of the polygon is calculated by adding the areas of the individual triangles, which in this example is 7 + (-7) = 0. Therefore, the area of the polygon with the given vertices is 0.

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Yoshi is making blueberry muffins. He needs 1 1/4 cups of blueberrie to make 1 batch pf muffins. How many cups will he need to make 2 1/2 batches?

Answers

Answer: [tex]3\dfrac{1}{8}\ \text{cups}[/tex]

Step-by-step explanation:

Given

Yoshi need [tex]1\frac{1}{4}[/tex] cups of blueberries to make 1 batch of muffins

convert mixed fraction to fraction

[tex]\Rightarrow 1\dfrac{1}{4}=\dfrac{5}{4}[/tex]

i.e. [tex]\frac{5}{4}[/tex] cups are required for 1 batch of muffins

for [tex]2\frac{1}{2}[/tex] batch or [tex]\frac{5}{2}[/tex] batch it is given by

[tex]\Rightarrow \dfrac{5}{2}\times \dfrac{5}{4}\\\\\Rightarrow \dfrac{25}{8}=3\dfrac{1}{8}\ \text{cups}[/tex]

If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?

A-48ft squared
B-64ft squared
C-96ft squared
D-112ft squared

Answers

Answer:

Step-by-step explanation:

4*12  + 4[1/2(6*4)] =96 [tex]ft^{2}[/tex]

Insurance company executives surveyed 200 young adults about their first motor vehicle. The results are shown in the two-way table.

A 4-column table with 3 rows. Column 1 has entries 4, 6, 8. Column 2 is labeled car with entries 118, 16, 2. Column 3 is labeled truck with entries 6, 12, 6. Column 4 is labeled S U V with entries 18, 20, 2. The columns are titled motor vehicle and the rows are titled cylinders.

A survey participant is randomly selected. Let S be the event that the participant’s first motor vehicle had six cylinders and let T be the event that the participant’s first motor vehicle was a truck. What is the value of P(S and T)?

0.06
0.12
0.24
0.30

answer. is A 0.06

Answers

Did you just answer your own question??

halfway between -5/6 and 1/3 on a number line

Answers

The halfway between the number is -1/4 on the number line.We can find halfway by using midpoint formula.

How do we show number on number line?

If the given number is positive mark it on the right side of the origin. If it is a negative number mark it on the left side of zero.Then divide each unit into the values equal to the fraction's denominator.

What is a Number Line in Math?

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.

Now

Using midpoint formula

[tex]x_{1}[/tex]+[tex]x_{2}[/tex]/2 =-5/6 +1/3 divide 2

Find common denominator and write the numerators above common denominator

-5+2/12 =-3/12

            =-1/4

Hence we find midpoint between numbers.

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A license plate consists of 3 letters followed by 1 digit. How many license plates are possible if the first letter can be any letter except I or O, the digit cannot be 0, and no letters or digits may repeat

Answers

Answer:

85

Step-by-step explanation:

So you know that there are 26 letters in the alphabet and 3 letters in the license plate, so that would be 26 multiplied by 3 to cover all of those letters.  The first letter can't be I or O, so you subtract 2 from the product.  26 times 3 is 78, minus 2 is 76. There are 10 single digits, but only one in the plate and it can't be 0.  This leaves 9 digits so you add that to the total number.  

76 + 9 = 85

I hope this helps!  :)

Sorry for my previous answer, I misread the question, but this is the correct answer now, hope this helped!

Answer:

129600 license plates

Step-by-step explanation:

This time, we will use an option of solving where we take the number of possibilities for one letter, then multiply it by the next, then multiply it by the next, then multiply it by the number of possibilities for the number. We would have 24 letters to start (not including I or O), then after we pick one, we need to remove it since we can't repeat letters. So just for our letters, we would get:

24 * 25(only the first digit can't have I or O) * 24

Then, we need to multiply that by 9 (since we are not including 0), giving us:

24 * 25 * 25 * 9 = 129600

Meaning, we can have 129600 different license plates.

Hope this helped!

What are the 3 triangles called?

Answers

The types of 3 triangles are called-

equilateral,isosceles, andscalene.Explain the classification of the 3 triangles?

Scalene triangle:

The scalene triangle has sides that are all measured differently.In such a triangle, no side will be the same length as any other side.Every interior angle in a scalene triangle is also unique.

Isosceles triangle:

The lengths for two of the sides in such an isosceles triangle are equal.The angles that are opposite their equal sides are therefore equal.An isosceles triangle, in other words, has two equal sides with two equal angles.

Equilateral triangle:

Each side of an equilateral triangle has an equal length.Each internal angle in this scenario will be 60 degrees in length.An equilateral triangle is often referred as an equiangular triangle since its angles are equal.

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Of the following points, name all that lie on the same horizontal line?
(-5,7) (5,-7) (7,-5) (-7,5)

Answers

I just graphed all 4 and didn’t see where any are on the same horizontal line. I might be missing something.

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position. None of the 4 points will lie on the same horizontal line.

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

For the points to lie on the same horizontal line, the y-coordinate of the points must be equal.

In the given 4 points (-5,7) (5,-7) (7,-5) (-7,5), the y-coordinate of all the data points are different, therefore, none of them will lie on the same horizontal line.

Hence, none of the 4 points will lie on the same horizontal line.

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To install the right size heating and cooling syster, you must know how many cubic feet an office building contains. The building is 120 feet wide. 20 feet lugh, and 48 feet long. Find the volume.​

Answers

Answer:

Mizuki is here to help!

115200 [tex]ft^3[/tex] is the volume of the building.

Step-by-step explanation:

120 x 20 x 48 =

2400 x 48 =

115200

Which point on the number line best represents the approximate value of 23? ​

Answers

Answer:

Hello! answer: Q

Step-by-step explanation:

The answer would be Q hope that helps!

Answer:

Q

Step-by-step explanation:

The approximate value of sqrt 23 is 4.8

Each line is 0.2

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