Find m<LMN if m<LMT=23 degree and m<TMN=144 degree​

The assumptions made in time-series regression, such as assuming shocks with mean zero, are reasonable as they imply no systematic effect on the dependent variable. To test for serial correlation, a Durbin-Watson test can be used with the null hypothesis of no serial correlation. The appropriateness of using OLS estimates for inference depends on the sample size, with larger samples being more suitable.

A) Assuming that the shocks have a mean zero is a reasonable assumption in time-series regression, as it implies that, on average, the shocks do not have a systematic effect on the dependent variable.

B) To test for serial correlation up to order 5 in the shocks, a Durbin-Watson test can be used.

The null hypothesis is that there is no serial correlation, while the alternative hypothesis is that there is serial correlation.

The test statistic follows an approximate distribution, and the decision rule at the 5% level of significance would be to reject the null hypothesis if the test statistic falls outside the critical region.

C) It would not be appropriate to use OLS estimates to conduct inference about the coefficients in equation 2 with a sample of only 15 observations, as the small sample size may result in imprecise and unreliable estimates.

D) It would be more appropriate to use OLS estimates to conduct inference about the coefficients in equation 2 with a sample of 500 observations, as the larger sample size provides more reliable and precise estimates.

E) One possible modification to address concerns in parts C and D is to use a more advanced estimation technique, such as generalized least squares (GLS), which can account for serial correlation and heteroscedasticity in the data, leading to more accurate parameter estimates and reliable inference.

Learn more about regression here:

https://brainly.com/question/32505018

#SPJ11

Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer:

The correct answer is (0) and (-10)

Step-by-step explanation:

The standard form of this equation is (x-a)(x-b)=0

so, here given equation is : x(x+10)=0

For solving the equation, equate both the LHS parts equals to RHS i.e. :

x(x+10)=0

x=0 &                          (x+10)=0 or x=(-10)

Answer:

1100000

Step-by-step explanation: If x = 300,000, that means 2x is 2 x 300,000, and that makes the equation 500,000 + ( 2 x 300,00). Please don't judge me, I am only in 7th grade. Thank you.

The polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)

It is given that:

Suppose the cost in dollars of producing x model kits is given by the polynomial 500,000 + 2x and the revenue generated from sales is given by the polynomial 30x - 0.00005 x².

The profit = revenue - cost

The profit = (30x - 0.00005 x²) - (500,000 + 2x)

The profit = 30x - 0.00005 x² - 500,000 - 2x

The profit = 28x - 500,000 - 0.00005 x²

Plug x = 300,000 in the profit expression.

The profit = 3400000

Thus, the polynomial expression for the profit from making and selling x model kits is 28x - 500,000 - 0.00005 x² and the profit is 3400000.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ2

The food percentage would be 19%, 51% and 30%.

Given that we've done it

Number of meals consumed by X = 57

Food consumed by Y = 153.

Number of meals consumed by Z = 90

Total amount of meals consumed = 57 + 153 +90 = 300

Food proportion of flock X thus Equals 57 / 300 * 100 = 19 %

flock food percentage Y =153/300 * 100 = 51 %

flock food percentage Z = 90/300 * 100 = 30 %

This means that the percentages are 19%, 51%, and 30%.

Based on the given information, we have:

Flock X ate 57 pieces of food.

Flock Y ate 153 pieces of food.

Flock Z ate 90 pieces of food.

The total number of pieces of food eaten is 300 (sum of the individual flock's food).

The food percentage for Flock X is 57/300 ≈ 0.19 or 19%.

The food percentage for Flock Y is 153/300 ≈ 0.51 or 51%.

The food percentage for Flock Z is 90/300 = 0.3 or 30%.

The total number of birds for the second generation is 30 (given).

To find the simulated number of birds in each flock for the second generation, we multiply the food percentage for each flock by the total number of birds (30).

For Flock X: 0.19 × 30 = 5.7 (rounded to the nearest whole number: 6 birds)

For Flock Y: 0.51 × 30 = 15.3 (rounded to the nearest whole number: 15 birds)

For Flock Z: 0.3 × 30 = 9 (rounded to the nearest whole number: 9 birds)

Therefore, the simulated number of birds in Flock X, Flock Y, and Flock Z for the second generation are 6, 15, and 9 birds, respectively.

Learn more about whole number here :

brainly.com/question/29766862

#SPJ4

Complete Question

Flock X Flock Y Flock z Total Pieces of Food Eaten 57 153 90 Food Percentage* % 1% % Simulated Number of Birds in Flock for 2nd Generation ** * Divide each flock's total pieces of food by 300, the total number of pieces of food eaten. ** Multiply the food percentage for each flock by the total number of birds (30). DONE

Answer:

19 51 30

6 15 9

second part Is Y then X

Step-by-step explanation:

The real-world problem involving a related set of two equations is given below:

Problem: Cost of attending a concert  is made up of base price and variable price per ticket. You are planning to attend a concert with your friends and want to know the number of tickets to purchase for lowest overall cost.

The related set of two equations are:

Equation 1: The total cost (C) of attending the concert is given by:

The equation C = B + P x N,

where:

B  = the base price

P  = the price per ticket,

N = the number of tickets purchased.

Equation 2: The maximum budget (M) a person have for attending the concert is:

The  equation M = B + P*X

where:

X = the maximum number of tickets a person can afford.

So by using the values of B, P, and M, you can be able to find the optimal value of N that minimizes the cost C while staying within your own budget M. so, you can now determine ticket amount to minimize costs and stay within budget.

Learn more about equations from

https://brainly.com/question/2972832

#SPJ1

Population is like superset of sample. The population and sample for this case are:

The difference between population and sample is that sample is taken from the population.

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population.

For this case, we have:

75 students were randomly selected from the junior class at a high school.

Since 75 students were selected from junior class, thus:

Learn more about sampling here:

https://brainly.com/question/24842573

Answer:

Step-by-step explanation: second part is 15-55

Answer:

You make no sense

Step-by-step explanation:

Answer:

THERE IS NOT A GRAPH

Step-by-step explanation:

The volume of the cone is 116ft^3

The formula of volume of a cone is given as

\(v = \frac{1}{3}\pi r^2h\\ \)

The data given are;

We can substitute the values into the equation.

\(v = \frac{1}{3}\pi r^2h\\ v = \frac{1}{3}*3.14*5.65^2*3.5 \\ v = 116.94ft^3\)

The volume of the cone is 116.9ft^3

Learn more on volume of a cone here;

https://brainly.com/question/8994737

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

Learn more about Velocity here:

brainly.com/question/31968174

#SPJ11

Answer:

It is 0

Step-by-step explanation:

In this case, n=11, p=DW01 and x=X54=4. The value of p is not provided. Without the value of p, the probability of 4 successes cannot be calculated.

A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in the independent trials of the experiment. n=10, p=0.85, 8 P(8)=0

The binomial probability experiment is characterized by its two parameters, the number of trials n and the probability of success p.

It is used to solve problems involving the probability of a given number of successes in a fixed number of independent trials.

Binomial probability distributions are used in the real world to predict the probability of an event occurring with the given parameters.

In this case, n=10 and p=0.85.

The probability of 8 successes in 10 trials P(8) is to be calculated.

Using the formula for binomial probability distribution:

P(x) = (nCx) * p^x * (1-p)^(n-x)

Where, P(x) is the probability of x successes in n trials, nCx is the number of ways to choose x successes from n trials, p is the probability of success and (1-p) is the probability of failure.

In this case, n=10, p=0.85 and x=8.

Using the formula,

P(8) = (10C8) * (0.85)^8 * (1-0.85)^(10-8)

P(8) = 45 * 0.282429536 * 0.019634693

P(8) = 0.0478 (rounded to 4 decimal places)

Hence, the probability of 8 successes in 10 trials P(8) is 0.0478.

A binomial probability experiment la conducted with the given parameters Compute the probability of x successes in the n independent trials of the experiment, 11, DW01, X54

The probability of xs4 success is Round to four decimal places as needed.

The given parameters for the binomial probability experiment are

n=11,  p=DW01 and x=X54.

The probability of x successes in n trials is to be calculated where x is equal to 4.

Using the formula,

P(x) = (nCx) * p^x * (1-p)^(n-x)

Where, P(x) is the probability of x successes in n trials, nCx is the number of ways to choose x successes from n trials, p is the probability of success and (1-p) is the probability of failure.

to know more about binomial probability visit:

https://brainly.com/question/12474772

#SPJ11

Answer:

Slope is -4/7

Step-by-step explanation:

4-8=-4

10-3=7

Answer:

the slope is  \(m=-\frac{4}{7}\)

Step-by-step explanation:

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

hope this helps :)

Option d) He uses the bottom of the Protractor to draw a Straight line connecting the mark he made with the vertex.

The correct step to complete the drawing of a 50° angle is:

Step 4: He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.

In this step, Jimmy will connect the mark he made at 50° on the protractor with the vertex of the angle using a straight line. This line will complete the angle and ensure that it measures 50°. By connecting the mark with the vertex, Jimmy will have successfully drawn a 50° angle.

After completing Step 4, he can proceed to Step 5, which involves drawing arrows on both ends of the line to indicate that they are rays.

Therefore, the correct answer is option d) He uses the bottom of the protractor to draw a straight line connecting the mark he made with the vertex.

To know more about Straight line.

https://brainly.com/question/24024505

#SPJ11

Answer:

Cost of meat = $15

Step-by-step explanation:

Given:

Pepperoni costs = $3.50

Parma ham costs = $6.50

Total spend = $25

Find:

Cost of meat

Computation:

Cost of meat = Total spend - Pepperoni costs - Parma ham costs

Cost of meat = $25 - $6.50 - $3.50

Cost of meat = $15

Answer:

x=-5

Step-by-step explanation:

The simplified answer of the equation 1/5(5x-5) + 3x = - 9(1/3x + 4)

is x = - 28/5.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, 1/5(5x-5) + 3x = - 9(1/3x + 4)

(1/5)(5x) - (1/5)(5) + 3x = (-9)(1/3)x - (9/4).

x - 1 + 3x = - 3x - 9/4.

4x - 4 + 12x = - 12x - 9.    (multiplied each term by 4 to remove the fraction)

16x + 12x = - 9 + 4.

28x = - 5.

x = - 28/5.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ2

Answer:

The correct option is;

Corresponding angles theorem

Step-by-step explanation:

Type of lines of lines a and b = Horizontal and parallel lines

The transversal to a and b = Line c

The angles between a and c labelled clockwise from the upper left quarter segment =  1, 2, 4 and 3

The angles between b and c labelled clockwise from the upper left segment =  5, 6, 8 and 7

Therefore, we have;

Statement   \({}\)                                                   Reason

1. a║b, c is a transversal   \({}\)                             Given

2. ∠6 ≅ ∠2       \({}\)                                              Corresponding angles theorem

3. m∠6 = m∠2       \({}\)                                         Definition of congruent

4. ∠6 is supp. to ∠8        \({}\)                               Definition of linear pair

5. ∠2 is supp. to ∠8        \({}\)                               Congruent supplement theorem

Corresponding angles are the angles located in spatially similar or matching corners of two lines that have been crossed by the same transversal. When the two lines having a common transversal are parallel, the corresponding angles will be congruent.                        

The first Epistle of John was written about AD of between 95 and 110 . So, by this our option should be 97 AD, which is true.

The Fourth of the Catholic Epistles, The First Epistle of John[a] is the first of the Johannine epistles in the New Testament. The authorship of the Johannine writings is disputed among academics. The First Epistle's author is identified as John the Evangelist, who most scholars do not consider to be the same person as John the Apostle. The three Johannine epistles are thought to have been written by the same person by the majority of scholars, however it is unclear if the same person wrote the Gospel of John.

Learn more about Epistle here:

https://brainly.com/question/30006419

#SPJ4

The components of BLS include initial assessment, airway maintenance, breathing (rescue breathing; mouth-to-mouth ventilation) and chest compression.

The correct BLS (Basic Life Support) sequence of events for adults is:


1. Ensure scene safety: Check the area for potential hazards before approaching the victim.

2. Assess responsiveness: Gently tap the victim's shoulder and ask if they are okay.

3. Call for help: If the victim is unresponsive, call emergency services and request an AED (automated external defibrillator).

4. Open the airway: Tilt the victim's head back by lifting the chin to open the airway.

5. Check for breathing: Look, listen, and feel for normal breathing for no more than 10 seconds. If there's no normal breathing, start chest compressions.

6. Perform chest compressions: Place the heel of your hand in the center of the chest and push hard and fast (compress at least 2 inches deep for adults) at a rate of 100-120 compressions per minute.

7. Deliver rescue breaths: Give 2 rescue breaths by pinching the victim's nose, sealing your mouth over their mouth, and blowing air into their lungs until the chest rises.

8. Continue CPR: Follow a 30:2 ratio of compressions to breaths until emergency services arrive, an AED becomes available, or the victim starts to breathe normally.

Remember to follow these steps in the correct order to effectively perform BLS on adults.

To learn more about basic life support

https://brainly.com/question/27413395

#SPJ11

21. sin(x): Odd function, 22. e^x: Neither, 23. |x-1|: Neither, 24. x^5: Odd function, 25. x^3 * sin(x): Neither

To determine whether a function is even, odd, or neither, we examine its symmetry properties.

1. sin(x):

The sine function is symmetric about the origin, which means that sin(-x) = -sin(x). Therefore, sin(x) is an odd function.

2. e^x:

The exponential function e^x is not symmetric about the y-axis or the origin. It does not satisfy the properties of even or odd functions. Therefore, e^x is neither even nor odd.

3. |x-1|:

The absolute value function |x-1| is not symmetric about the y-axis, so it is not even. It is also not symmetric about the origin, so it is not odd either. Therefore, |x-1| is neither even nor odd.

4. x^5:

The function x^5 is an odd power of x, which means that (-x)^5 = -x^5. Therefore, x^5 is an odd function.

5. x^3 * sin(x):

This function is a product of x^3 and sin(x). x^3 is an odd function, while sin(x) is also odd. The product of two odd functions is an even function. Therefore, x^3 * sin(x) is neither even nor odd.

In summary:

- sin(x) is an odd function.

- e^x, |x-1|, and x^3 * sin(x) are neither even nor odd.

- x^5 is an odd function.

To learn more about function, click here: brainly.com/question/11624077

#SPJ11

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

To learn more about matrix visit : brainly.com/question/29132693

#SPJ4

Answer:

The player's vertical jump ability is 15 inches

Step-by-step explanation:

The mark on the scale which the player's hand can reach while standing = 4-in which is the standing reach

The mark on the scale the player's hand can reach when jumping = 19-in

Therefore, the player's vertical jumping ability is given as the difference between the height the players hand can reach when jumping and the height which the player's hand can when standing,

Which gives;

The player's vertical jump ability = 19 inches - 4 inches = 15 inches

The player's vertical jump ability = 15 inches.

The answer to your question is that the volume of the solid s, which is a right circular cone with height 3h and base radius 3r, can be calculated using the formula V = (1/3)πr^2h.

a cone can be thought of as a pyramid with a circular base. The volume of a pyramid is given by the formula V = (1/3)Bh, where B is the area of the base and h is the height. In the case of a right circular cone, the base is a circle with radius r, so the area of the base is πr^2.
Substituting B = πr^2 and h = 3h into the formula for the volume of a pyramid gives:
V = (1/3)πr^2(3h) = πr^2h
So the volume of the right circular cone with height 3h and base radius 3r is (1/3)π(3r)^2(3h) = 9πr^2h.

the volume of a cone can also be derived using calculus. By slicing the cone into thin disks, we can approximate its volume as the sum of the volumes of these disks. As the thickness of the disks approaches zero, this approximation becomes more accurate and we obtain the exact volume of the cone.
Integrating the area of a disk over the height of the cone gives:
V = ∫0^3πr^2(y/3)dy
where y is the height above the base of the cone and r = (3/y)r is the radius of the disk at that height. Evaluating this integral gives the same result as the formula derived earlier:
V = (1/3)π(3r)^2(3h) = 9πr^2h.

To know more about pyramid  visit:
https://brainly.com/question/17615619

#SPJ11

The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

Learn more about present worth here:

https://brainly.com/question/14962478

#SPJ11

If the number of people arriving for treatment at an emergency room is modeled by a Poisson process with a mean of 5 people per hour, we can use this information to estimate the expected number of people who will arrive during a 45-minute period.

The Poisson distribution describes the probability of a certain number of events occurring in a fixed interval of time, given the average rate at which the events occur. In this case, the Poisson distribution can be used to estimate the number of people who will arrive during a 45-minute period, given that the mean arrival rate is 5 people per hour.

To calculate the expected number of arrivals, we first need to convert the 45-minute time period into hours. There are 60 minutes in an hour, so 45 minutes is equivalent to 0.75 hours.

Next, we can use the Poisson distribution formula, which is:

P(X = k) = (e^(-λ) * λ^k) / k!

where λ is the mean arrival rate (in this case, 5 people per hour), k is the number of arrivals we are interested in, and e is Euler's number (approximately 2.71828).

Expected number of arrivals = λ * t = 5 * 0.75 = 3.75

Therefore, we can expect approximately 3.75 people to arrive for treatment during a 45-minute period, assuming that the number of arrivals follows a Poisson distribution with a mean of 5 people per hour.

For more details about Poisson click here:

https://brainly.com/question/30410181#

#SPJ11

Answer:

No, she isn't correct.

Step-by-step explanation:

If the domain is all the x-values in the relationship, then the domain is all values between -2 and 2. If the range is all the y-values in the relationship, then the domain is all values between -3 and 3. Tatiana got things all mixed up; the x-axis is horizontal and the y-axis is vertical.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.

Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:

z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3

Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To know more about Derivatives  visit :

https://brainly.com/question/29144258

#SPJ11

the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

To solve the given difference equation, we can use the Z-transform method. Let's denote the Z-transform of a function y(k) as Y(z), and the Z-transform of x(k) as X(z).

Applying the Z-transform to the given equation and using the properties of linearity, time shifting, and the Z-transform of the unit step function, we have:

z²Y(z) - zY(z) + 0.24Y(z) = (z + 1)X(z)

Next, we can rearrange the equation to solve for Y(z):

Y(z)(z² - z + 0.24) = (z + 1)X(z)

Dividing both sides by (z² - z + 0.24), we get:

Y(z) = (z + 1)X(z) / (z² - z + 0.24)

Now, we need to find the inverse Z-transform of Y(z) to obtain the time-domain solution y(k). To do this, we can use partial fraction decomposition and lookup tables to find the inverse Z-transform.

The denominator of Y(z), z² - z + 0.24, can be factored as (z - 0.2)(z - 1.2). We can then rewrite Y(z) as:

Y(z) = (z + 1)X(z) / [(z - 0.2)(z - 1.2)]

Now, we perform partial fraction decomposition to express Y(z) as:

Y(z) = A / (z - 0.2) + B / (z - 1.2)

To find the values of A and B, we can multiply both sides of the equation by the common denominator:

(z - 0.2)(z - 1.2)Y(z) = A(z - 1.2) + B(z - 0.2)

Expanding and equating coefficients, we have:

z²Y(z) - 1.4zY(z) + 0.24Y(z) = Az - 1.2A + Bz - 0.2B

Now, we can equate the coefficients of corresponding powers of z:

Coefficient of z²: 1 = A

Coefficient of z: -1.4 = A + B

Coefficient of z⁰ (constant term): 0.24 = -1.2A - 0.2B

Solving these equations, we find A = 1, B = -2.4.

Substituting these values back into the partial fraction decomposition equation, we have:

Y(z) = 1 / (z - 0.2) - 2.4 / (z - 1.2)

Now, we can use the inverse Z-transform lookup tables to find the inverse Z-transform of Y(z):

y(k) = Z⁻¹{Y(z)} = Z⁻¹{1 / (z - 0.2) - 2.4 / (z - 1.2)}

The inverse Z-transform of 1 / (z - 0.2) is given by the formula:

Z⁻¹{1 / (z - a)} = \(a^k\)

Using this formula, we get:

y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

Therefore, the solution to the given difference equation is y(k) = \(0.2^k\) - 2.4 * \(1.2^k\)

Learn more about Z-transform method here

https://brainly.com/question/14979001

#SPJ4

Answer:64

Step-by-step explanation: because 2 multiplied by 2 is 4 four multiplied by 2 is eight as the pattern continues 32 multiplied by 2 is 64.

Answer:

2+2=4

4+4=8

8+8=16

16+16=32

32+32=64