Factors estimate 5,897 times 67

In an assignment problem, each resource can perform only one task. The assignment problem is a linear programming problem that seeks to minimize the cost of assigning tasks to available resources.

An assignment problem is a combinatorial optimization problem in which a group of jobs must be assigned to a group of workers while minimizing the total cost of completing the jobs. This type of problem is solved using linear programming. In addition, there is a one-to-one matching between the set of jobs and the set of workers. The goal of an assignment problem is to find the optimal or best possible pairing of jobs to workers.To obtain the best possible solution, an optimal assignment algorithm can be utilized. There are four basic methods to solve the assignment problem: the Hungarian method, the matrix reduction method, the branch-and-bound method, and the Auction algorithm.

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Answer:

The domain of the function in interval notation is -∞ < x < -2, -2 < x < 4, x > 4

Step-by-step explanation:

The given function is presented as follows;

\(G(x) = \dfrac{x^2 + 8 \cdot x + 12}{x^2 - 2 \cdot x - 8}\)

The function given in rational format will not be defined when the value of the denominator = 0

Therefore, for the function to be undefined, we have;

x² - 2·x - 8 = 0

(x - 4)·(x + 2) = 0

Which gives;

x = 4, or x = -2

Therefore, the function is undefined for x = 4 and x = -2

The domain of the function in interval notation = -∞ < x < -2, -2 < x < 4, x > 4

Answer:

3.75

Step-by-step explanation:

The hundredth is the 2 number after the decimal point so round that up.

Answer:

3.75

Step-by-step explanation:

the hundreths place is the second number to the left of the decimle, because the number to the left of the hundreths place is less than five. You leave the hundreths place number as it is. This leaves you with your awnser: 3.75

Explanation:

The balance after t years can be calculated using the following equation:

Where P is the principal amount and r is the rate of interest per year.

So, replacing P by $300, r by 3.5%, and t by 5, we get:

So, the balance after 5 years is $356,3059

Answer: $356.3059

Answer:

1+1=2

Step-by-step explanation:

Thanks for the ponts

The smallest possible product of these four numbers is 59.0625

The equation is given as:

a + b + c + d = 12

The numbers are consecutive numbers.

So, we have:

a + a + 1 + a + 2 + a + 3 = 12

Evaluate the like terms

4a = 6

Divide by 4

a = 1.5

The smallest possible product of these four numbers is represented as:

Product = a * (a + 1) * (a + 2) * (a + 3)

This gives

Product = 1.5 * (1.5 + 1) * (1.5 + 2) * (1.5 + 3)

Evaluate

Product = 59.0625

Hence, the smallest possible product of these four numbers is 59.0625

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Step-by-step explanation:

they are similar by AA .

plz mark my answer as brainlist plzzzz . hope this will be helpful to you.

The sum of all the possible events is 1, which means that all the events are independent of the others, in that case

P(A or C) = P(A)+P(C) = 0.1 + 0.8 = 0.9

P(B and C) = P(B)*P(C) = 0.1 * 0.8 = 0.08

Answer:

b

Step-by-step explanation:

3(3+8)=9+24=33

Answer:

11/12

Step-by-step explanation:

9/11 x 11/12 = (3 x 3)/11 x 11/(3 x 4) = 3/4

The opportunity cost is merely the expense of not making a decision.

As a result, if you chose Project P placed above a white Project Q, the opportunity cost for such a decision is 75,000 times the estimated NPV of Project Q.

The distinction between current value of money over time value of cash outflows over time is defined as net present value (NPV).

Some key features regarding the Net Present Value (NPV) are-

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The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.

Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.

Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.

Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.

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To calculate the monthly payment for a loan, we can use the formula for the monthly payment of an amortizing loan. the monthly payment: M would be $29,541 *

The formula is: \(M = P * r * (1 + r)^n / ((1 + r)^n - 1),\) where M is the monthly payment, P is the principal amount (total loan amount), r is the monthly interest rate (APR divided by 12), and n is the total number of payments (number of years multiplied by 12).

Using the given information: P = $29,541, APR = 6.3%, Number of years = 4. First, we need to calculate the monthly interest rate: r = (6.3 / 100) / 12 = 0.00525. Next, we calculate the total number of payments: n = 4 * 12 = 48.

Finally, we can substitute the values into the formula to find the monthly payment: M = 29,541$

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Answer:

Probably 95*

Step-by-step explanation:

If you look at the lines, the angle with Y looks equal to the bottom 95* angle.

Answer: 4 apples 10 banana

Step-by-step explanation: 4 apples is 4 dollars + 1/2 of 10 which is 5 = 9

to figure this out I start out adding 1 apple and 1 banana to each side starting with 0 apples and 6 bananas until I got to 9 dollars worth of fruit

There are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

There are 12 different outfits that can be put together using 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

How to solve the problem:

To find out the number of different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes, we will simply multiply the number of options for each category together.

Number of options for pants = 3

Number of options for shirts = 2

Number of options for shoes = 2

Number of different outfits that can be put together

= 3 × 2 × 2

= 12

Therefore, there are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

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The function that models the situation when the height of the fertilizer is h inches can be represented by the equation W(h) = (4/7)h, where W(h) represents the weight of the fertilizer in pounds.

To model the relationship between the height of the fertilizer in the barrel and its weight, we can use a linear function. The given information states that 1 inch of fertilizer in the barrel weighs 4/7 pound. This means that as the height of the fertilizer increases by 1 inch, the weight increases by 4/7 pound.

We can express this relationship using the equation W(h) = (4/7)h, where W(h) represents the weight of the fertilizer in pounds and h represents the height of the fertilizer in inches. The coefficient (4/7) indicates the rate at which the weight increases with each additional inch of height.

By plugging in different values for h, we can calculate the corresponding weights of the fertilizer. For example, if the height of the fertilizer is 3 inches, the weight can be calculated as W(3) = (4/7)(3) = 12/7 pounds.

This linear function allows us to determine the weight of the fertilizer based on its height in the barrel. As the height increases, the weight increases proportionally, following a constant rate of change.

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Answer:

x = 3

Step-by-step explanation:

Is x an exponent?

\( y = 3^x \)

\( 27 = 3^x \)

\( 3^3 = 3^x \)

\( x = 3 \)

Answer: she spent 10 hours working in her aunt's store last week.

Step-by-step explanation: Let x represent the number of hours that Lee spent working at the movie theater.

Let y represent the number of hours that Lee spent working at her aunt's store.

Lee worked a total of 30 hours at the movie theater and her aunt's store. This means that

x + y = 30

Her combined pay from the jobs was $240. She earned $9 per hour working at the movie theater and $6 per hour working in her aunt's store. This means that

9x + 6y = 240 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

9(30 - y) + 6y = 240

270 - 9y + 6y = 240

- 9y + 6y = 240 - 270

- 3y = - 30

y = - 30/ - 3 = 10 hours

The sequence of Transformations involved to form ∆A′B′C′ is a reflection over the y-axis, followed by a translation to the right 6 units.

The graph shows two triangles plotted on a coordinate plane.

One triangle is at A (minus 4, 2), B (minus 6, 2), and C (minus 2, 6).

Another triangle is at A prime (2, 2), B prime (4, 2), and C prime (0, 6). ∆ABC goes through a sequence of transformations to form ∆A′B′C′.

The sequence of transformations involved is a reflection over the y-axis, followed by a translation to the right 6 units. The steps to get from ∆ABC to ∆A′B′C′ are as follows:

Step 1: Reflection over y-axis: This transformation can be done by replacing the x-coordinates of each point with their opposites, or by drawing perpendiculars from each point to the y-axis and reflecting them across the y-axis. In either case, the new points are A(-(-4),2) = A(4,2), B(-(-6),2) = B(6,2), and C(-(-2),6) = C(2,6).

Step 2: Translation to the right 6 units: This transformation involves adding 6 units to each of the x-coordinates of the reflected triangle. The new points are A'(2+6,2) = A'(8,2), B'(4+6,2) = B'(10,2), and C'(0+6,6) = C'(6,6).

Therefore, the sequence of transformations involved to form ∆A′B′C′ is a reflection over the y-axis, followed by a translation to the right 6 units.

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The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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Title: A Literature Review on Length of Stay Prediction for Stroke Patients using Machine Learning and Statistical Approaches

Abstract:

Length of stay (LOS) prediction plays a crucial role in stroke patient management and resource allocation in healthcare facilities. Accurate predictions of LOS can assist in making informed decisions regarding patient care, discharge planning, and resource allocation.

Introduction:

Stroke is a significant health issue with a substantial impact on patient outcomes and healthcare resources. Predicting the length of stay for stroke patients can aid in optimizing hospital resources, improving patient management, and facilitating timely interventions.

Methods:

A comprehensive search of relevant electronic databases was conducted to identify relevant studies published in peer-reviewed journals. Keywords such as "stroke," "length of stay," "prediction," "machine learning," and "statistical approaches" were used to retrieve relevant articles. The inclusion criteria encompassed studies focusing on LOS prediction for stroke patients using machine learning or statistical methods.

Results:

The review presents an overview of the different machine learning algorithms and statistical approaches employed in LOS prediction for stroke patients. Various features, such as demographic data, clinical parameters, and imaging findings, were utilized as input variables in the prediction models.

Discussion:

The literature review highlights the strengths and limitations of the different approaches used in predicting the length of stay for stroke patients. Machine learning techniques, such as random forest, support vector machines, and artificial neural networks, have shown promising results in terms of predictive accuracy.

Conclusion:

Predicting the length of stay for stroke patients is crucial for effective resource management and patient care. This literature review provides an overview of the current state of research in using machine learning and statistical approaches for LOS prediction in stroke patients.

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The inference shows that the author uses paragraph 1 to B. show that science and fun are linked.

An inference simply means the conclusion that can be deduced from the information given on an excerpt.

In this case, the inference shows that the author uses paragraph 1 to show that science and fun are linked. This was illustrated in the story about roller coasters.

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Answer:

The correct answer is B

Step-by-step explanation:

I took this test

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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The cost of labour per hour is $90.56

The total amount paid by Austin is the sum of the total cost of labour and the cost of the parts

Total amount paid = total cost of labour + cost of parts

$553.50 = total cost of labour + $126

total cost of labour = $533.50 - $126

= $407.50

The total cost of labour = cost of labour per hour x total time worked

$407.50 = xx × 4.5

xx = $407.50 / 4.5

xx = $90.56

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SUV was detected exceeding the posted speed limit of 60 km/hr, 40 kilometers would she have traveled if she was driving 80 km/hr for half an hour.

Given that an SUV was detected exceeding the posted speed limit of 60 km/hr. We need to calculate how many kilometers would she have traveled if she was driving 80 km/hr for half an hour.

Using the formula,

s = v.t

Where s = Distance

           v = Velocity

            t = time

In this scenario, the velocity of the SUV is given as 80 km/hrt = 0.5 hrs

The distance she will travel at 80 km/hr in 0.5 hrs will be; s = 80 x 0.5s = 40 km

Therefore, the SUV would have traveled 40 kilometers if she was driving 80 km/hr for half an hour.

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Because the smallest age among the four cars is one, the population minimum is one. It s not an unbiased estimator.

The following information has been given:

Car number            Color           Age

    1                             Red            1    

    2                           White            5

   3                             Silver             8

   4                            Red              20

All size 2 samples can then contain any two (different) cars from the population of four cars.

Sample of size 2

1,2

1,3

1,4

2,3

2,1

3,4

Now, we will calculate the sample minimum of different cars. The sample minimum is the younger of the two vehicles.

Sample of size 2          Sample minimum

       1,2                              min(1,5)=1

       1,3                              min(1,8)=1

       1,4                             min(1,20) = 1

       2,3                              min (5,8)=5

       2,1                               min(5, 20) = 5

       3,4                              min(8, 20) = 8

Dotplot for this is attached in the figure below.

If the center of the sample distribution represents the true value of the parameter, the statistic is an unbiased estimator. The total of all sample proportions divided by the number of samples is the sample proportions' mean.

Mean of x =  Sum sample minimum  / Number of samples

= ( 1+1+1+5+5+8) / 6

= 21 / 6

= 7 / 2

=3.5

Because the smallest age among the four cars is one, the population minimum is one.

The sample minimum is not an unbiased estimator of the population minimum because the mean of the sampling distribution is not equal to the population minimum.

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Correct question:

Refer to the small population of 4 cars listed in the table.

Color                     Age (years)

Red                          1

White                       5

Silver                       8

Red                         20

​List all 6 possible SRSs of size n = 2, calculate the minimum age for each sample, and display the sampling distribution of the sample minimum on a dot plot. Is the sample minimum an unbiased estimator of the population minimum? Explain your answer.