In a board game, a certain number of points is awarded to a player upon rolling a six sided die (labeled 1 to 6) according to the function f(x)=6x-1, where x is the value rolled on the die. Find and interpret the given function values and determine an appropriate domain for the function.

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

5/9 -2/6 = 2/9

(decimal: 0.222222)

The value of the expression 5/9 - 2/6 is 2/9.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5/9 - 2/6

Find the LCM of 9 and 6.

= (10 - 6)/18

= 4/18

= 2/9

Thus,

The value is 2/9.

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Answer:

x = 3

Step-by-step explanation:

2(x+4) + 2 = 5x + 1

2x + 8 + 2 = 5x + 1

2x + 10 = 5x + 1

-3x + 10 = 1

-3x = -9

x = 3

To solve for x, we need to simplify the equation and isolate the variable. Let's proceed with the given equation:

2(x + 4) + 2 = 5x + 1

First, distribute the 2 to the terms inside the parentheses:

2x + 8 + 2 = 5x + 1

Combine like terms on the left side:

2x + 10 = 5x + 1

Next, let's move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:

2x - 2x + 10 = 5x - 2x + 1

Simplifying further:

10 = 3x + 1

To isolate the x term, subtract 1 from both sides:

10 - 1 = 3x + 1 - 1

9 = 3x

Finally, divide both sides of the equation by 3 to solve for x:

9/3 = 3x/3

3 = ×

Therefore, the solution to the equation is x = 3.

Answer:

1

Step-by-step explanation:

Answer:

I believe B

Step-by-step explanation:

sorry if wrong and if it is I'll give you back your points

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

To find the value of A, we can use the fact that the total area under the probabilitydensity function (PDF) should be equal to 1.

Since the PDF is defined as:

f(x) = A(2 - x)(2 + x) for 0 <= x <= 2f(x) = 0 elsewhere

We can integrate the PDF over the entire range of X and set it equal to 1:

∫[0,2] A(2 - x)(2 + x) dx = 1

To find P(X = 1/2), we can evaluate the PDF at x = 1/2:

P(X = 1/2) = f(1/2)

To find P(X <= 1) and P(1 <= X <= 2), we can integrate the PDF over the respective ranges:

P(X <= 1) = ∫[0,1] A(2 - x)(2 + x) dx

P(1 <= X <= 2) = ∫[1,2] A(2 - x)(2 + x) dx

Now let's calculate the values:

Step 1: Calculate the value of A∫[0,2] A(2 - x)(2 + x) dx = A∫[0,2] (4 - x²) dx

                          = A[4x - (x³)/3] evaluated from 0 to 2                           = A[(4*2 - (2³)/3) - (4*0 - (0³)/3)]

                          = A[8 - 8/3]                           = A[24/3 - 8/3]

                          = A(16/3)Since this integral should be equal to 1:

A(16/3) = 1A = 3/16

So the value of A is 3/16.

Step 2: Calculate P(X = 1/2)

P(X = 1/2) = f(1/2)           = A(2 - 1/2)(2 + 1/2)

          = A(3/2)(5/2)           = (3/16)(15/4)

          = 45/64

Step 3: Calculate P(X <= 1)P(X <= 1) = ∫[0,1] A(2 - x)(2 + x) dx

         = (3/16)∫[0,1] (4 - x²) dx          = (3/16)[4x - (x³)/3] evaluated from 0 to 1

         = (3/16)[4*1 - (1³)/3 - (4*0 - (0³)/3)]          = (3/16)[4 - 1/3]

         = (3/16)[12/3 - 1/3]          = (3/16)(11/3)

         = 11/16

Step 4: Calculate P(1 <= X <= 2)P(1 <= X <= 2) = ∫[1,2] A(2 - x)(2 + x) dx

              = (3/16)∫[1,2] (4 - x²) dx               = (3/16)[4x - (x³)/3] evaluated from 1 to 2

              = (3/16)[4*2 - (2³)/3 - (4*1 - (1³)/3)]               = (

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Step-by-step explanation:

look at the photo..............

Manuel can paint 3.2 pictures in 8 hours if he can paint 5 pictures in 12.5 hours.

The proportion that can be used to find the number of pictures Manuel can paint in 8 hours is:

5 pictures / 12.5 hours = p pictures / 8 hours

To solve for p, we can cross-multiply and simplify:

We can use the formula of proportion to find the unknown value of p. The formula of proportion states that two ratios are equal to each other. Here, the ratio of the number of pictures painted to the hours taken to paint them is constant. We can use this constant ratio to find the unknown value of p. By cross-multiplying the ratio, we get the equation

We can then solve for p by dividing both sides of the equation by 12.5 hours. The answer we get is 3.2, which means that Manuel can paint 3.2 pictures in 8 hours.

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Answer:

The approximate side length is between 10 ft and 11 ft

Step-by-step explanation:

Here, we are interested in calculating the approximate length of the square shaped pool.

Mathematically, the area of a square is s^2 where s represents the length of its side

in this case; s^2 = 120

s = √120

s = 10.95 approximately

So the length of the side of the square is between 10 and 11 ft

Answer:

Step-by-step explanation:

Bob's deal : 11/10= 1.1 dollars per bagel

Danny's bagel=3/4=0.75 dollars per bagel

Danny's deal is better the price is lower

2- fraction : 11/10>3/4

1.1>0.75 the lower the price the better

3- Danny's deal is better because the price of 10 bagels=7.5 dollars

Answer:

x = 4

y = 2

Step-by-step explanation:

the third angle of the triangle

180 - (148 + 18) = 14º

Therefor

3x + y = 14

5x - y = 18

Add the equations

8x = 32

Divide both sides by 8

x = 4

Plug in x = 4

3(4) + y = 14

12 + y = 14

y = 2

9514 1404 393

Answer:

  (x, y) = (4, 2)

Step-by-step explanation:

The triangles are similar by AA similarity, so the corresponding angles are congruent.

  5x -y = 18 . . . . . . unmarked angles are congruent

  18 +(3x+y) +148 = 180 . . . . . sum of angles in a triangle is 180°

__

After subtracting 166 from both sides, the second equation simplifies to ...

  3x +y = 14

Adding this to the first equation gives ...

  8x = 32

  x = 4 . . . . . . divide by 8

Then substituting for x in the first equation gives ...

  5(4) -y = 18

  20 -18 = y = 2

The values of the variables are x = 4, y = 2.

_____

The angle marked with a double mark is 14°, given by the simplified second equation.

A 24U rack is approximately 44.5 inches (113.03 cm) tall.

What is Expression in math ?

An expression is made up of one or more integers or variables, as well as one or more operations.

The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.

1U is equal to 1.75 inches (4.45 cm)

so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).

However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.

Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.

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The solution of inequality -8+4x<-4 is given by x<1 anbd the graph is given by,

Given the inequality is, -8+4x < -4

Solving the inequality we get,

-8+4x < -4

4x < -4+8, adding 8 to both sides

4x < 4

x < 1, dividing both sides by 4

Hence the solution is x<1.

The graph of solution set in number line is,

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Answer:

21x+1=37

21x+1-1=37-1

21x=36

x=36/21

x=9/7

Answer:

X1=2 X2=-32/21

Step-by-step explanation:

21x-5=37

21x-5=-37

21x=37+5

21x=42

x=2

21x=-37+5

21x=-32

x=-32/21

Answer:

Step-by-step explanation:

By the inscribed angle theorem, \(a=21, b=42\)

So, since angles in a triangle add to 180 degrees, the angle vertical to c is \(180-21-42=117\), and thus \(c=117\)

Answer: B. Additive Inverse

The probability of event E3 in part a is 0.3. The probability of event E3 in part b is 0.5. In part a, we are given that the probabilities of events E1, E2, E4, and E5 are 0.2, 0.2, 0.2, and 0.1, respectively. Since these probabilities sum to 1, the probability of event E3 must be 0.3.

In part b, we are given that the probabilities of events E1 and E3 are equal. We are also given that the probabilities of events E2, E4, and E5 are 0.2, 0.2, and 0.2, respectively. Since the probabilities of events E1 and E3 must sum to 0.5, the probability of each event is 0.25.

Therefore, the probability of event E3 in part b is 0.25.

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Answer:

0.6832

Step-by-step explanation:

Given :

Mean, m = 52

Standard deviation, s = 7

-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6

2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71

Zscore = (48.6 - 52) / 7 = - 0.486

Zscore = (71 - 52) / 7 = 2.714

P < -0.486) = 0.31348

P < 2.714 = 0.99668

P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832

Answer:

B

Step-by-step explanation:

A function cannot have more than one point on the same x coordinate. So, B is the only option that works.

Answer:

The anwser is 6.01176470588

Based on the information provided and considering the terms "pendulum" "positions a, b, and c," and "neglect friction," the true statement about the swinging pendulum is:

At position A, the pendulum has maximum potential energy and no kinetic energy. As it swings towards position B, its potential energy decreases while its kinetic energy increases. At position B, the pendulum has maximum kinetic energy and minimum potential energy. Then, as it moves towards position C, the kinetic energy decreases while the potential energy increases. At position C, it has the same potential energy as at position A, and the cycle repeats.

Potential energy is the energy possessed by an object due to its position or configuration relative to other objects. It is a form of stored energy that has the potential to be converted into other forms of energy and do work.

In the case of an object in a gravitational field, such as a pendulum, potential energy is associated with its vertical position above a reference point, often the ground. The higher the object is lifted, the greater its potential energy. The two most common forms of potential energy are gravitational potential energy and elastic potential energy.

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A correlation is computed using data from 18 people. The critical cutoff for a two-tailed hypothesis test with a p-level of 0.05 is 0.4472.

In statistics, the correlation coefficient is a measure that determines the linear association between two variables. It is utilized to find how strong the connection is between two variables. The correlation coefficient value ranges from -1 to +1, with negative correlations indicating an inverse relationship between the two variables, and positive correlations indicating a direct relationship.

The correlation coefficient formula is: r = (N(Σxy) - (Σx)(Σy)) / sqrt((NΣx² - (Σx)²)(NΣy² - (Σy)²))

where, N is the number of observations

Σxy is the sum of the product of x and y

Σx is the sum of x

Σy is the sum of yΣx² is the sum of the squared value of xΣy² is the sum of the squared value of y

Now, let's move on to the actual question, which asks for the critical cutoff for a two-tailed hypothesis test with a p-level of 0.05. Using a table of t-values or statistical software, we can determine the critical t-value with the given degrees of freedom (N-2), which is 16 for 18 people and a significance level of 0.05. This gives us a critical t-value of ±2.120 (rounded off to 3 decimal places).To convert the critical t-value to a correlation coefficient, we can use the following formula:t = r * sqrt((N-2) / (1-r²))

where, r is the correlation coefficient value and N is the number of observations

By rearranging the formula and substituting the values, we can determine the minimum correlation coefficient value:r = sqrt((t² / (t² + (N-2))))We can then substitute the values:r = sqrt((2.120² / (2.120² + 16))))r = sqrt(0.1982)r = 0.4451 (rounded off to 4 decimal places)Therefore, the critical cutoff for a two-tailed hypothesis test with a p-level of 0.05 is 0.4472 (rounded off to 4 decimal places).

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Answer: c

Step-by-step explanation:

131.5 inches

I do flvs!!

Using inverse matrix method, the values of x and y are: x = -4, y = 3

3. To construct a 3x3 matrix A=(a), where a, = 21 +3j, we simply need to replace a, with 21 + 3j in every entry of the matrix. So we have:

A = [21+3j 21+3j 21+3j]
[21+3j 21+3j 21+3j]
[21+3j 21+3j 21+3j]

4. To find the values of x and y using the inverse matrix method, we first need to write the system of equations in matrix form. We have:

[5 3] [x] = [11]
[3 2] [y] = [6]

We can write this as AX = B, where:

A = [5 3]
   [3 2]

X = [x]
   [y]

B = [11]
   [6]

To solve for X, we need to find the inverse of A. We have:

A⁻¹ = 1/(5×2-3×3) × [2 -3]
                       [-3 5]

Multiplying both sides of AX = B by A⁻¹, we get:

X = A⁻¹ B

Substituting the values of A⁻¹ and B, we have:

X = 1/3 × [2 -3] [11]
               [-3 5] [6]

Evaluating this expression, we get:

X = [1]
   [2]

So the values of x and y that satisfy the system of equations are x=1 and y=2.

Let's first construct a 3x3 matrix A=(a), where a = 21 + 3j:

Step 1: Construct the 3x3 matrix with each element as a = 21 + 3j
A = [ [ (21 + 3j), (21 + 3j), (21 + 3j) ],
      [ (21 + 3j), (21 + 3j), (21 + 3j) ],
      [ (21 + 3j), (21 + 3j), (21 + 3j) ] ]

Now let's find the values of x and y using the inverse matrix method for the system of equations:
5x + 3y = 11
3x + 2y = 6

Step 1: Create the coefficient matrix (A) and the constant matrix (B)
A = [ [5, 3],
        [3, 2] ]
B = [ [11],
        [6] ]

Step 2: Find the inverse of matrix A (A_inv)
A_inv = 1/(5×2 - 3×3) × [ [2, -3],
                                        [-3, 5] ]
A_inv = 1/(-1) × [ [2, -3],
                             [-3, 5] ]
A_inv = [ [-2, 3],
               [3, -5] ]

Step 3: Multiply A_inv and B to find the matrix X, which contains the values of x and y
X = A_inv × B
X = [ [-2, 3] × [11] = [-2×11 + 3×6] = [-22 + 18] = [-4],
       [3, -5] × [ 6] = [3×11 - 5×6] = [33 - 30] = [3] ]

So, the values of x and y are:
x = -4
y = 3

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Answer:

30

Step-by-step explanation:

x = 4

=> 4x + 14

=>  4(4) + 14

=> 16 + 14

=> 30

Answer:

30

Step-by-step explanation:

x = 4

=> 4x + 14

=>  4(4) + 14

=> 16 + 14

=> 30

Answer:

1. No

2. No

3. Yes

4. Yes

Step-by-step explanation:

The diagram has been attached

The total angle in a triangle is 180°

<CAD=45°

<ACD=90°

Therefore <ADB=45°

1. ∠ADB = 30° no

ADC = 90 - 45 = 45

∠BDC = 90 - 65 = 25

∠ADB = 45 - 25 = 20

2.△ABD ∼ △ACD no going

by law of sines

3.CD = 33.7 centimeters => yes

4.BD = 37.2 centimeters => yes

The correct answers are CD = 33.7 centimeters and BD = 37.2 centimeters.

adioabiola is correct.  I had the same question with the same choices, and chose the same choices as adioabiola.  I know they have already answered this question, but I know some people like when more than one person gives the same answer so they are sure it is correct. :)

We operate as follows:

**First problem:

*We divide the total number of messes by the value of the sum of the ratio.

391 / (14 + 9) = 17

After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:

17 * 14 = 238

So, we can expect 238 Gooey messes.

**Second problem:

*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:

So, we would expect 551, not purple yogi berries.