A Markov chain {Xn : n\geq0} with three states 0, 1, 2 has the following transition probability matrix:
P =
1/2 1/3 1/6
0 1/3 2/3
1/2 0 1/2
If P(X0 = 0) = P(X0 =1) = 1/4, Find E[X3].

Answer:

$3.9K is the profit made from 100 TVs

Step-by-step explanation:

Step-by-step explanation:

the profit is defined by

Profit=Gain-cost

In this case (F-g)(100)= is the profit to sell 100 television and is calculated

F(x)-g(x)=4x+5000-(20x-500)=4x-20x+5000+500=-16x+5500=-16*(100)+5500=3900

3900=3.9k

Answer: 3,900 PROFIT MADE from 100 tv

Step-by-step explanation:

The diameter of the circle pen for the sheep of the farmer is 68 yards.

The total length of the fencing used for the preparation of the fencing for sheep is 213.52 yards.

Thus,

circumference = 213.52 yards

The formula for the calculation of the circumference of circle is,

circumference = 2πr,

In which,

π = 3.14  and radius r.

Thus,

213.52 = 2πr

r = 213.52 / 2π

r = 34

Diameter = 2 x radius

Diameter = 2 x 34

Diameter = 68 yards.

Thus, the diameter of the circle pen for the sheep of the farmer is 68 yards.

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Answer:

see explanation

Step-by-step explanation:

A

for the triangles to be similar by the AA postulate then 2 angles in both triangles must be congruent.

In this case we are only given 1 pair of congruent angles.

Thus not able to say similar by AA postulate, therefore Sharon is incorrect in her assumption.

B

the sides are of different lengths but the ratios of corresponding sides are equal, that is

\(\frac{JK}{GH}\) = \(\frac{8}{4}\) = 2 and \(\frac{JL}{GI}\) = \(\frac{10}{5}\) = 2

If the ratios of 2 pairs of corresponding sides of 2 triangles are equal and the included angles are congruent , then the triangles are similar, so

Δ GHI and Δ JKL are similar by the SAS postulate

C

the ratios of corresponding sides are equal , then

\(\frac{KL}{HI}\) = \(\frac{JL}{GI}\)

\(\frac{KL}{7}\) = \(\frac{10}{5}\) = 2 ( multiply both sides by 7 to clear the fraction )

KL = 14

Answer: $15.6

Step-by-step explanation:

Sanita pays $63 for 5 posters that are $3 off each, if you divide 63 by 5 you will get $12.6, so you have to add $3 to $12.6 to get 15.6 which was the original price of one poster.

The regular price of one poster $15.6

Sanita pays $63 for 5 posters that are $3 off each.

Regular price means the price at which similar goods or services are regularly sold on the market.

If she divide 63 by 5 she will get $12.6

Therefore  we have to add $3 to $12.6 to get 15.6

It was the original price of one poster.

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Answer:

so what's 10 x 15?

that's what it's mainly asking you

10 x 15

answer: is 150

- that's what I think it is..

Answer:

Area of a rectangle = Length × width

\( 2 {x}^{2} + 7x + 6 = length \times (x + 2)\\ \\ length = \frac{2 {x}^{2} + 7x + 6 }{x + 2} \\ \\ \\ = \frac{(x + 2)(2x + 3)}{x + 2} \\ \\ = 2x + 3\)

So ; Length = 2x + 3

I hope I helped you^_^

Answer:

x = 6.75, y = 15

Step-by-step explanation:

By Pythagoras Theorem,

12^2 + 9^2 = (y+5)^2

y = 15

By AA Similarity Test, Triangle BCA is similar to BED

x/9 = 15 (found y) / (15+5)

x = 6.75

Answer:

c) Multiplicative Identity

Step-by-step explanation:

Given equation,

→ c × 1 = c

Then the given equation shows,

→ Multiplicative Identity

(number × 1 = number)

Hence, the option (c) is correct.

Set of positive numbers: (a, b). OOB error: Superior due to comprehensive assessment and effectiveness.

a) To decide the set of true numbers classified as positive by f(x), we ought to consider the conditions for which the expression interior of the marker work is more prominent than zero.

Given:

f(x) = (I(0.1c3(x) - c1(x) - c2(x) > 0))

hence c1(x) = (I(x > a)), (c2(x)) = (I(x < b)), and (c3(x)) = (I(x < +∞)), able to replace their individual values into f(x):

f(x) = (I(0.1I(x < +∞) - I(x > a) - I(x < b) > 0))

Presently, let's analyze the conditions for which the expression interior the marker work is more prominent than zero:

(0.1I(x < +∞) - I(x > a) - I(x < b) >)

hence (I(x < +∞) = 1) and both (I(x > a) and I(x < b)) can as it were take values of 1 or -1, the imbalance streamlines to:

(0.1 - I(x > a) - I(x < b) >)

To fulfill this disparity, we have the following cases:

Case 1: In case I(x > a) = -1 and I(x < b) = -1, at that point 0.1 - (-1) - (-1) >

This infers that x > a and x < b, fulfilling the disparity.

Case 2: On the off chance that I(x > a) = 1 and I(x < b) = -1, at that point 0.1 - 1 - (-1) >

This infers that x < a and x < b, fulfilling the imbalance.

Case 3: On the off chance that I(x > a) = -1 and I(x < b) = 1, at that point 0.1 - (-1) - 1 >

This infers that x > a and x > b, fulfilling the disparity.

Case 4: In the event that I(x > a) = 1 and I(x < b) = 1, at that point 0.1 - 1 - 1 >

This suggests that x < a and x > b, which does not fulfill the imbalance.

Hence, the set of true numbers classified as positive by f(x) is the crossing point of the intervals (a, b) and (-∞, +∞), which may (be, a b).

(b) The Out-of-Bag (OOB) error could be a favored generalization performance measure for stowing compared to the approval set strategy and cross-validation for the taking after reasons:

1. OOB error utilizes the bootstrap inspecting strategy: Stowing includes making different bootstrap tests from the first dataset. OOB blunder gauges the model's execution by assessing it on the occurrences that were not included within the bootstrap test utilized to prepare the demonstration. This permits a more comprehensive assessment of the model's generalization performance.

2. OOB error decreases the requirement for an isolated approval set: The approval set strategy requires part of the information into preparing and approval sets, which decreases the sum of information accessible for preparing. In differentiation, OOB mistake utilizes the total dataset for preparing and employments the out-of-bag occasions for approval, killing the requirement for an isolated validation set.

3. OOB error gives a fair gauge of generalization mistakes: Cross-validation gauges the generalization mistake by over and over apportioning the information into preparing and approval sets. In any case, the arbitrary part of information can present changeability within the assessed blunder. OOB blunder, on the other hand, gives an impartial gauge as each occurrence is assessed on models prepared without including that occasion within the bootstrap test.

4. OOB error is computationally proficient: Compared to cross-validation, which needs different cycles of show preparation and assessment, OOB mistake estimation is computationally proficient. It kills the requirement for tedious preparation and approval, making it a speedier and more down-to-earth alternative.

By and large, the OOB error gives a solid and proficient gauge of the packed-away model's generalization execution, making it a favored choice over the approval set strategy and cross-validation.

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The equation of the line that is perpendicular to the given line 6x - 9y = c and passes through the point (1, 6) is y = (-3/2)x + 15/2. The equation of the line that is parallel to the given line 6x - 9y = c and passes through the point (1, 6) is y = (2/3)x + 16/3.

To find the equation of the line that is perpendicular to the given line, we need to determine the slope of the given line and then find the negative reciprocal of that slope.

Find the slope of the given line:

The given line is represented by the equation 6x - 9y = c, where c is a constant term. To find the slope, we can rearrange the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Let's rearrange the equation:

6x - 9y = c

-9y = -6x + c

Dividing by -9:

y = (6/9)x - c/9

Simplifying:

y = (2/3)x - c/9

The slope of the given line is 2/3.

Find the negative reciprocal of the slope:

To find the slope of the line perpendicular to the given line, we take the negative reciprocal of the slope. The negative reciprocal of 2/3 is -3/2.

Use the point-slope form to find the equation of the line:

The equation of a line in point-slope form is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line, and m is the slope.

Given point: (1, 6)

Slope: -3/2

Using the point-slope form:

y - 6 = (-3/2)(x - 1)

y - 6 = (-3/2)x + 3/2

Rearranging:

y = (-3/2)x + 3/2 + 6

y = (-3/2)x + 15/2

Therefore, the equation of the line that is perpendicular to the given line and passes through the point (1, 6) is y = (-3/2)x + 15/2.

To find the equation of the line that is parallel to the given line and passes through the point (1, 6), we need to use the same slope as the given line, which is 2/3.

Using the point-slope form:

y - 6 = (2/3)(x - 1)

y - 6 = (2/3)x - 2/3

Rearranging:

y = (2/3)x - 2/3 + 6

y = (2/3)x + 16/3

Therefore, the equation of the line that is parallel to the given line and passes through the point (1, 6) is y = (2/3)x + 16/3.

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The inequality is 2x − 24 ≥ 72. The least number of stadium tickets bought is 48.

Given

A city baseball league agrees to buy at least 72 tickets to a professional baseball game, buys 24 fewer outfield tickets than stadium tickets.

The least number of stadium tickets bought

Let the number of stadium tickets be x

Therefore, the number of outfield tickets is x − 24

The total number of tickets bought is at least 72, then the inequality is

x + x − 24 ≥ 72

Adding 24 to both sides of the inequality, we get

2x ≥ 96

Dividing both sides by 2, we get

x ≥ 48

Therefore, the least number of stadium tickets bought is 48.

Thus, the inequality is 2x − 24 ≥ 72.

The least number of stadium tickets bought is 48.

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Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

To estimate the range of money spent by students on textbooks in a semester using the standard deviation rule, we can utilize the concept of the empirical rule.

According to the empirical rule, in a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.

Given that the mean is $477 and the standard deviation is $35, we can calculate the range for approximately 95% of the students.

One standard deviation from the mean is $477 ± $35, which gives us a range of $442 to $512.

Two standard deviations from the mean is $477 ± (2 × $35), which gives us a range of $407 to $547.

Therefore, Approximately 95% of the students spent between $407 and $547 on textbooks in a semester, based on the standard deviation rule and the given mean and standard deviation.

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Answer:

c

Step-by-step explanation:

360 is a full rotation and 90 is a quarter

Answer: C

Step-by-step explanation:

Answer:

Slope is 2/1x

Y- intercept = 12

Equation is y = 2x + 12

Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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Answer:

2640

Step-by-step explanation:

Yes:No = 7:5

Total votes = 6336

So, 7x+5x = 6336

12x = 6336

x = 6336/12 = 1056/2 = 528

Number of No votes = 5*528 = 2640

Step-by-step explanation:

Ys of course is correct answer

Answer:

8.04050632911

Step-by-step explanation:

This narrative highlights a situation where the virtues of being slow and steady are rewarded.

Once upon a time, in a small village nestled in the mountains, there was a traditional annual race held among the villagers. The race required participants to climb a steep hill and reach the top as quickly as possible.

Among the contestants was a young boy named Liam, known for his calm and patient nature. While others sprinted to gain an early lead, Liam opted for a different approach. He started at a steady pace, conserving his energy and carefully navigating the challenging terrain.

As the race progressed, many of the participants who had rushed ahead began to tire and struggle. The steep slope and difficult obstacles proved to be more demanding than anticipated.

Meanwhile, Liam remained focused and steady, maintaining a constant rhythm without faltering. As the exhausted runners slowed down or even gave up, Liam's measured approach allowed him to steadily climb higher.

To everyone's surprise, when the finish line came into sight, Liam was still going strong. While he may not have been the fastest, his consistency and resilience paid off.

With a burst of determination, he crossed the finish line, much to the astonishment of the spectators. Liam's slow and steady strategy had not only helped him conserve his energy but also allowed him to overcome the challenges that had overwhelmed others.

This tale emphasizes the valuable lesson that sometimes, taking a slow and steady approach can yield better results than rushing headlong into a task.

It highlights the importance of patience, perseverance, and a mindful approach, as these qualities can lead to success even in the face of seemingly insurmountable obstacles.

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Answer:

(50^1/2)^4

Step-by-step explanation:

basically if I am comprehending your question correctly, the square root of 50 can also be written as 50^1/2

If you put 50^1/2 to the 4th power, it basically becomes (50^1/2)^4

Based on the given data, it is advisable for management at Kelsh to eliminate the North Division in order to avoid the traceable fixed expenses associated with it, while keeping the total common corporate expenses unaffected.

When considering the elimination of a division, it is crucial to analyze the impact on expenses and overall profitability. In this case, the information states that if the North Division is eliminated, its traceable fixed expenses can be avoided. Traceable fixed expenses refer to the costs that are directly associated with a specific division or segment of a company. By eliminating the North Division, Kelsh can avoid incurring these interests, potentially improving the company's financial performance.

Furthermore, the data states that the total common corporate expenses would be unaffected by the elimination of the North Division. Common corporate expenses are costs incurred at the corporate level that are not directly attributable to any specific division or segment.

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Answer: Length = 17 ft

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Let x be the width

Let 2x + 3 be the length

Given information

Perimeter = 48 ft

width = x

length = 2x + 3

Given expression deducted from the question

Perimeter = 2 (l + w)

Substitute values into the expression

48 = 2 (2x + 3 + x)

Combine like terms in the parentheses

48 = 2 (2x + x + 3)

48 = 2 (3x + 3)

Expand parentheses and apply the distributive property

48 = 2 · 3x + 2 · 3

48 = 6x + 6

Subtract 6 on both sides

48 - 6 = 6x + 6 - 6

42 = 6x

Divide 6 on both sides

42 / 6 = 6x / 6

x = 7

Find the value of length

Length = 2x + 3 = 2(7) + 3 = 14 + 3 = \(\boxed{17}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Parallelogram

Result

Area = b × h

= 5.5 × 11

Answer:

y-intercept: 12

x-intercept: unknown

Step-by-step explanation:

I think you meant y=-32x+12.

Answer: 6x

Step-by-step explanation:

so consider x as the number,

twice of x= 2x

2x tripled= 2x*3

               = (2*3)x

               = 6x

Answer:

62 square mm.

Step-by-step explanation:

First find the area of the rectangle

4*10=40

Find the area of the Triangle

11*4=44

44÷2=22

Add

40+22=62

Answer:

5 outside of the square root symbol and 625 on the inside