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the total cost of a calculator is $28.19 is the price of the calculated before (13%) $23.99 or $24.95

To find the state matrices X_1, X_2, and X_3, we can use the transition probability matrix P and the initial state matrix X_0.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X_0 = [0.1 0.2 0.7]

To calculate X_1, we multiply the transition probability matrix P with the initial state matrix X_0:

X_1 = P * X_0

To calculate X_2, we multiply P with X_1:

X_2 = P * X_1

Similarly, to calculate X_3, we multiply P with X_2:

X_3 = P * X_2

Performing these matrix multiplications will give us the state matrices X_1, X_2, and X_3.

Note: Since the provided matrix P has a dimension of 3x3 and the initial state matrix X_0 has a dimension of 1x3, the resulting state matrices X_1, X_2, and X_3 will also have a dimension of 1x3.

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To find the state matrices X₁, X₂, and X₃ given the transition probabilities matrix P and the initial state matrix X₀, we can apply matrix multiplication repeatedly.

P = [0.6 0.2 0.1

0.3 0.7 0.1

0.1 0.1 0.8]

X₀ = [0.1

0.2

0.7]

To find X₁, we multiply P with X₀:

X₁ = P * X₀

To find X₂, we multiply P with X₁:

X₂ = P * X₁ = P * (P * X₀)

To find X₃, we multiply P with X₂:

X₃ = P * X₂ = P * (P * (P * X₀))

Performing the matrix multiplications, we get:

X₁ = [0.6 0.2 0.1] * [0.1

0.2

0.7] = [0.06 + 0.04 + 0.07

0.03 + 0.14 + 0.07

0.01 + 0.02 + 0.56]

X₁ = [0.17

0.24

0.59]

X₂ = [0.6 0.2 0.1] * [0.17

0.24

0.59] = [0.048 + 0.048 + 0.059

0.023 + 0.168 + 0.059

0.007 + 0.048 + 0.472]

X₂ = [0.155

0.25

0.527]

X₃ = [0.6 0.2 0.1] * [0.155

0.25

0.527] = [0.042 + 0.031 + 0.053

0.021 + 0.175 + 0.053

0.006 + 0.05 + 0.422]

X₃ = [0.126

0.249

0.478]

Therefore, the state matrices are:

X₁ = [0.17

0.24

0.59]

X₂ = [0.155

0.25

0.527]

X₃ = [0.126

0.249

0.478]

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Answer:

It is 25

Step-by-step explanation:

If the equation is 4/5 x n = 20, you will find the answer by dividing because its the opposite of multiplication.

\(20/\frac{4}{5} = 20x5/4=\\24\)

The answer is 25

I hope this helps :3

Can you post the image, it's not possible to find what transformation she does without the graph

There are 10 possible 3-digit numbers which can be generated using numbers 1, 2, 3, 4, and 5 without repeating any digits.

There are 5 choices for the first digit, 4 choices for the second digit, and 3 choices for the third digit. This can be expressed using the combination formula:

nCr = n! / r!(n - r)!

So, the number of possible 3-digit numbers with no digit repeated can be calculated as 5C3 = 5!/(3!*2!) = 10.

Therefore, there are 10 possible 3-digit numbers which can be generated using numbers 1, 2, 3, 4, and 5 without repeating any digits. These numbers are 123, 124, 125, 134, 135, 145, 234, 235, 245, and 345.

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They are not necessarily also congruent because: D. figures can be similar without being the same size.

Figures that are congruent to each other have the same size and the same shape. However, on the other hand, similar figures do not have the same size but have the same shape.

The corresponding angles of both similar figures and congruent figures are the, while only the corresponding sides of congruent figures are the same. On the contrary, the corresponding sides of similar figures are not congruent, they are proportional.

Therefore, if figures FGH and F'G'H' are similar, they are not necessarily also congruent because: D. figures can be similar without being the same size.

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1. The number of cars that cross the bridge is a discrete random variable

2. The time between each car crossing the bridge is a continuous random variable

3. The amount of gas in the cars is a continuous random variable

4. The number of cars that use the bridge in one hour is a discrete random variable

A discrete random variable is a variable that can only take on a countable number of values, while a continuous random variable is a variable that can take on any value within a certain range or interval.

The number of cars that cross the bridge is a discrete random variable because it can only take on a countable number of values (e.g. 0, 1, 2, 3, ...).

The time between each car crossing the bridge is a continuous random variable because it can take on any value within a certain range or interval (e.g. 0.5 seconds, 1.25 seconds, 2 seconds, etc.).

The amount of gas in the cars is a continuous random variable because it can take on any value within a certain range or interval (e.g. 1 gallon, 1.5 gallons, 2 gallons, etc.).

The number of cars that use the bridge in one hour is a discrete random variable because it can only take on a countable number of values (e.g. 0, 1, 2, 3, ...).

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Angle 1 and 2 are equal because of correspondence angle

so , (78-2x) = (89-3x)

x = 89 - 78

x = 11

hence angle 1 = ( 78 - 2*11) = 56

and angle 2 = ( 89-3*11) = 56

So, both of angle is 56

hope it help and your day will full of happiness

Answer:

7-(-3)=10

7-3=4

59-(-1)=60

-17-(-6)=(-11)

Step-by-step explanation:

In the photo !

Answer:

A

Step-by-step explanation:

Answer: 4, -2

Step-by-step explanation: I just visualized the graph in my head and went from there

The solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

The given system of equations is given as,z + 5x = 243x + 2z + 3y = 7-x + 2y = -9

To solve the given system of equations by using the Cramer's rule, we have to first represent the given system in matrix format.

             Matrix format: ⎡1 0 5⎤ ⎡x⎤ ⎡24⎤ ⎢0 3 2⎥ ⎢y⎥=⎢7⎥ ⎣-1 2 0⎦ ⎣z⎦ ⎣-9⎦

Using the formula for Cramer's rule, we know that,

                       x = Dx / D, y = Dy / D, z = Dz / D, whereD is the determinant of the coefficient matrix, Dx is the determinant of the matrix obtained by replacing the x column with the constant matrix, Dy is the determinant of the matrix obtained by replacing the y column with the constant matrix, and Dz is the determinant of the matrix obtained by replacing the z column with the constant matrix.

       Calculation of D: D = | A | = ⎡1 0 5⎤ ⎡0 3 2⎥ ⎣-1 2 0⎦

Applying the Laplace expansion along the first column, D = 1 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦| D = 6 Calculation of Dx: Dx = ⎡24 0 5⎤ ⎡3 2⎤ ⎢7 3 2⎥ ⎢-1 2⎥ ⎣-9 2 0⎦ ⎣2 0⎦

Applying the Laplace expansion along the first column, Dx = 24 |⎡3 2⎤| - 0 |⎡-1 2⎤| + 5 |⎡-9 2⎤| |⎣3 2⎦| |⎣3 2⎦| |⎣3 2⎦|

                          Dx = -18

Calculation of Dy: Dy = ⎡1 24 5⎤ ⎡0 2 2⎤ ⎢0 7 2⎥ ⎢-1 -1 0⎥ ⎣-1 -9 0⎦ ⎣2 0 0⎦

Applying the Laplace expansion along the second column, Dy = 0 |⎡1 5⎤| - 24 |⎡0 2⎤| + 5 |⎡0 2⎤| |⎣-1 0⎦| |⎣-1 0⎦| |⎣-1 0⎦|

                            Dy = 10

Calculation of Dz: Dz = ⎡1 0 24⎤ ⎡0 3 2⎥ ⎢0 3 7⎥ ⎢-1 2 -1⎥ ⎣-1 2 -9⎦ ⎣3 2 0⎦

Applying the Laplace expansion along the third column,

                              Dz = 24 |⎡3 2⎤| - 10 |⎡-1 2⎤| + 0 |⎡-1 3⎤| |⎣2 0⎦| |⎣2 0⎦| |⎣2 0⎦|

                         Dz = -24

Now we have the values of D, Dx, Dy and Dz.

Therefore, x = Dx / D, y = Dy / D, z = Dz / D,x = -18/6 = -3 y = 10/6 = 5/3 z = -24/6 = -4

Hence, the value of x, y, and z is (-3, 5/3, -4) respectively.

Therefore, the solution of the given system of equations is (-3, 5/3, -4) by using Cramer's rule.

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Answer:

I would assume you would use PEMDAS? thats what I would use

Answer:

Solve the parenthesis

Step-by-step explanation:

In the order of operations (PEMDAS), you would solve what's in the parenthesis first. So you would add 5 and 4, then multiply that by 3 to get the correct answer. Hope that helps!

Answer:

D because the BC is the radius line

Answer:

I think 15% im sorry if this is wrong

Answer:

The y intercept is -2

Step-by-step explanation:

Hi there!

We want to find the y-intercept of the line 2x-4y=8

The y-intercept is the point in where the line passes through the y axis. This means that the value of x at the y intercept is 0.

So substitute 0 as x into the equation

2(0)-4y=8

Multiply

0-4y=8

Simplify

-4y=8

Divide both sides by -2

y=-2

The y intercept is -2. If you need it as a point, it's (0, -2)

Hope this helps!

The integer variable "a" is congruent to 11 modulo 19. This means that "a" leaves a remainder of 11 when divided by 19.

In modular arithmetic, the modulo operator (mod) is used to find the remainder of a division operation. In this case, the equation "a = 11 (mod 19)" signifies that "a" is congruent to 11 modulo 19. It implies that when "a" is divided by 19, it leaves a remainder of 11. To illustrate this further, consider a few examples:

If "a" is 11, then 11 divided by 19 yields a remainder of 11, satisfying the congruence.

If "a" is 30, then 30 divided by 19 results in a quotient of 1 with a remainder of 11. Again, this satisfies the given congruence.

In general, "a" can be expressed as "a = 19k + 11," where "k" is any integer. This formula shows that any value of "a" that satisfies this equation will be congruent to 11 modulo 19.

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Answer:

Composite functions

Step-by-step explanation:

Answer:

7 of the kids in your class play

Step-by-step explanation:

Hope this helps you :)

Answer:

1/3

Step-by-step explanation:

25 goes into 75 three times making it 1/3

Answer:

B

Step-by-step explanation:

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

Given the x1 and y1 = given point.

Substitution x1 = 2 and y1 = -8 in the equation.

\( \begin{cases} x_1 = 2 \\ y_1 = - 8 \end{cases} \\ y - ( - 8) = - 4(x - 2) \\ y + 8 = - 4(x - 2)\)

Hence, the solution is C choice.

\(y + 8 = - 4(x - 2)\)

The solution set of the system is the region that satisfies both inequalities, which is the shaded triangle above the line y = x and below the line 3x + 2y = 4.

In mathematics, an inequality is a mathematical sentence that shows the relationship between two expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), or ≠ (not equal to).

Inequalities are used to represent a wide range of real-world situations, such as comparing quantities or values, setting constraints, or determining the feasibility of a system of equations or inequalities.

To graph the system of inequalities, we need to first graph the boundary lines for each inequality, and then shade the appropriate region.

For the inequality y < x, we can graph the line y = x as a dashed line, since the inequality is strict. Then we shade the region below the line to represent the solution set, as shown below:

      |

      |         /.

      |       /    .

      |     /        .

      |  /______.

      |        x

      |

------|----------------------------

      y

For the inequality 3x + 2y > 4, we can graph the line 3x + 2y = 4 by first finding its x- and y-intercepts:

When x = 0, we have 2y = 4, or y = 2. So the line intersects the y-axis at (0, 2).

When y = 0, we have 3x = 4, or x = 4/3. So the line intersects the x-axis at (4/3, 0).

We can plot these two points and connect them with a dashed line, as shown below:

      |

      |      .

      |        .

      |         .

      |_________/ 3x + 2y = 4

      |          

------|-------------------

      y

Finally, we need to shade the appropriate region that satisfies the inequality. To do this, we can test a point in each region and see which side of the line satisfies the inequality. For example, the point (0,0) is in the region below the line, and we can plug it into the inequality:

3x + 2y > 4

3(0) + 2(0) > 4

0 > 4

Since this is false, the region containing (0,0) does not satisfy the inequality. We can test another point, say (1,1), which is in the region above the line:

3x + 2y > 4

3(1) + 2(1) > 4

5 > 4

Since this is true, the region containing (1,1) satisfies the inequality. Therefore, we shade the region above the line, as shown below:

      |

      |      .

      |        .

      |         .

      |_________/ 3x + 2y = 4

      |////////////

      |///////// x

------|------------------------

      y

The solution set of the system is the region that satisfies both inequalities, which is the shaded triangle above the line y = x and below the line 3x + 2y = 4.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

Reflection over the y-axis.

Step-by-step explanation:

All the x values will change sign so its over the yaxis

Answer:

a. The graph will be reflected over the y-axis

Step-by-step explanation:

When a function is reflected over the y-axis, the x-coordinates are divded by -1, and then the new points will become reflections of the y-axis. Because x was changed to -x in this problem, we know that the graph was relfected across the y-axis.

hope this helps :)

Answer:

F. y = 9.5x + 22.5

Step-by-step explanation:

let the number of shirts be x

For every shirt he pays $9.50 and $22.5 is the additional price

The given statement is true. The outside bank of a meander that is prone to erosion is known as a cut bank.

As it flows across the land, a river erodes the soil and forms banks. A cut bank is a nearly vertical bank that is also known as a river cliff or river-cut cliff. Cut banks can be found on the river's rim. The river's moving water wears away the earth, resulting in cut banks.

A cut bank, also known as a river cliff or river-cut cliff, is the outside bank of a water channel's constantly eroding curve or meander.

Hence, the given statement is true.

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Answer:

Step-by-step explanation:

Total students = 450

Hence, 162 students stated that they purchased an SUV.

Hoped this helped.

\(BrainiacUser1357\)

Weight limit of the shelf = 16.40 pounds.  Conversion factor: 1 pound = 2.20462 kilograms. Among the given options, the closest value to 7.441 kilograms is option a) 7.44 kg(Answer).

To determine how many kilograms Jennifer's shelf can support, we need to convert the weight limit from pounds to kilograms. To convert pounds to kilograms, we divide the weight in pounds by the conversion factor: Weight limit in kilograms = 16.40 pounds / 2.20462 kilograms per pound. Calculating the weight limit in kilograms: Weight limit in kilograms ≈ 7.441 kilograms.  Therefore, Jennifer's shelf can safely support approximately 7.441 kilograms. Among the given options, the closest value to 7.441 kilograms is option a) 7.44 kg. Option b) 13.44 kg is too high, option c) 32.42 kg is significantly higher, and option d) 36.16 kg is also higher than the calculated weight limit.

Thus, the correct answer is option a) 7.44 kg, as it is the closest approximation to the weight limit of Jennifer's shelf.

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Following the elimination process the solution of the given system of equations is \((2, -4)\). Hence option B is correct.

The given system of equations is:

2x + 3y = −8   ....(i)

3x + y = 2 ----(ii)

To solve this system by using the elimination method,

Multiply 3 both sides in equation (ii) we get,

9x + 3y = 6  ....(iii)

Subtract (iii) from (i) we get,

2x + 3y - (9x + 3y ) = -8 -6

-7x = -14

Dividing both  sides by -7 we get,

x = 2

Put the value of x into equation (ii),

6 + y = 2

y = -4

Hence,

The solution of the system is \((2, -4)\) which is option B.

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The complete question is:

Solve the system of equations using elimination.

2x + 3y = −8

3x - y = 2

A. (−4, 0)

B. (2, −4)

C. (5, −6)

D. (8, −8)

Answer:

(2, −4)

Step-by-step explanation:

took the test xx

The formula to find the area of a circle is

So as you can see, if you have the area of the circle, you can see get the measure of its radius:

Now that you have the measure of the radius of the circle, you can obtain its circumference using this formula:

So, you have

Therefore, the correct answer is option B.