If we have following real variables Yi, Xi satisfying Yi = Axi +N, (1) where N is the noise modeled as Gaussian random variable with zero mean and varaince 02. We also assume that these collected variables are probability independent each other with respect to indices i. Then, we have following probability distribution Pr(yi|A, xi) 1 exp(- V2πσ (yi – Axi)? = (2) 202 Suppose the regression term A follow another Gaussian distribution as N(0, 12), i.e., zero mean and vari- ance 12. We ask following questions: (1) (5%) Given samples (x1, yı), (x2, y2), ..., (Ino Yn) and parameter 12, how you apply Bayes theo- rem to evaluate the probability of A? Hint, writing the probability of A given (21, yı), (22, y2),... , (Xn, Yn) and parameter 1. (2) (10%) If we take the natural log to the probability obtained in the problem (1) related to the term A, can you determine the value of A in terms of (x1, yı), (x2, y2), ... , (In, Yn) and parameter that achieves the maximum probablity obtained from the problem (1) related to the term A.

a. EVA (Economic Value Added) measures a company's economic profit by deducting the cost of capital from net operating profit after taxes.

b. EVA is a more comprehensive and suitable measure compared to EPS or ROE in evaluating a company's value creation.

a. EVA (Economic Value Added) is a financial metric that measures the economic profit generated by a company. It is calculated by subtracting the company's cost of capital from its net operating profit after taxes. EVA is significant because it provides a more accurate measure of a company's financial performance than traditional metrics like net profit or earnings per share. By deducting the cost of capital, EVA takes into account the opportunity cost of using capital and provides a clearer picture of whether a company is creating value for its shareholders.

b. EVA is a comprehensive measure that considers both the profitability and capital efficiency of a company, making it a more holistic indicator of performance compared to metrics like EPS (Earnings Per Share) or ROE (Return on Equity). While EPS focuses solely on the profitability of a company, and ROE measures the return generated on shareholders' equity, EVA takes into account the total capital employed and the cost of that capital. This makes EVA more suitable for evaluating the true economic value generated by a company.

In the Indian context, EVA can be a valuable metric for assessing corporate performance. It provides insights into how efficiently a company utilizes its capital and whether it is creating value for its shareholders. However, the adoption and use of EVA may vary among Indian companies, as it requires accurate and transparent financial data, as well as a thorough understanding of the concept and its calculation. Nevertheless, for companies that prioritize value creation and long-term sustainable growth, EVA can be a valuable tool for evaluating performance.

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Answer:

The maximum weight of the second box is 125 pounds. (The box can weight  less than 125 pounds, but no more than 125 pounds since the total weight of the boxes cannot be more than 300 pounds.)

Step-by-step explanation:

x+y ≤ 300

175+y ≤ 300

Substract 175 on both sides:

y ≤ 125

The inequality that describes the weight limitation in terms of x and y is -

x + y ≤ 300 and the maximum weight of second box can be 125 pounds.

We have a conveyor belt such that there can only be two boxes moving at a time. The total weight of the boxes cannot be more than 300 pounds.

It is given in the question to assume let x and y represent the weights of the two boxes on the conveyer belt.

We have to find -

a) - inequality that describes the weight limitation in terms of x and y.

b) - If two boxes are to be placed on the conveyor belt and first box weighs 175 pounds then what is the maximum weight of the second box?

Inequality in mathematics is a relation that is used to compare two or more algebraic expressions.

According to the part 'a' of the question -

The inequality that describes the weight limitation in terms of x and y is -

x + y ≤ 300

According to part 'b' of the question -

x = 175 pounds

The maximum weight of second box can be found out by substituting the value of 'x' in inequality in part a.

175 + y ≤ 300

y ≤ 125

Hence, the maximum weight of second box can be 125 pounds.

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Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

Answer: x can equal 9 or -1

Step-by-step explanation:

The point (-3 + 18i) is also on the circle with diameter endpoints at –3 + 18i and 7 – 6i.

To find which point is also on the circle, we need to first find the center and radius of the circle. The center of the circle is the midpoint of the diameter, which we can find using the midpoint formula:

Midpoint = ((–3 + 7)/2, (18i – 6i)/2) = (2, 6i)

The radius of the circle is half the length of the diameter, which we can find using the distance formula:

r = √((7 – (–3))^2 + ((–6i) – 18i)^2) / 2

= √(100 + 576) / 2

= √(676) / 2

= 13 / 2

So the center of the circle is (2, 6i) and the radius is 13/2.

To determine which point is also on the circle, we need to check if its distance from the center is equal to the radius. Let's start by checking the point (-3 + 18i):

Distance = √((2 – (–3))^2 + (6i – 18i)^2)

= √(25 + 144)

= √(169)

= 13

Since the distance is equal to the radius, the point (-3 + 18i) is also on the circle. This problem involves basic geometry concepts such as finding the center and radius of a circle, and using the distance formula to check if a point is on the circle.

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The properties of a parallelogram:

1. opposite sides are parallel

2. opposite sides are equal in length

3. opposite angles are equal

4. diagonals bisect each other

if XN=NZ and NY=NW, then

XY=WZ and XW=YZ because the corresponding angles are equal = corresponding sides are equal

The opposite sides are parallel as well because the diagonals are equal (the vertical opposite angles are equal)

This was a word pasta but hope this helps

The opposite sides are parallel because the diagonals are equal.

From the given parallelogram, you can see that the diagonals bisect each other.

Also if XN=NZ and NY=NW, then XY=WZ and XW=YZ show that the corresponding angles are equal

Also from the diagram, the opposite sides are parallel because the diagonals are equal (the vertical opposite angles are equal).

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The set of all points equidistant from the endpoints of a segment is called the perpendicular bisector of the segment.  All the points on the perpendicular bisector are equidistant from the endpoints of the original segment.

1. Points: These are the locations in space that have a specific position.
2. Equidistant: This term means that the points are at the same distance from certain other points.
3. Endpoints: These are the points at the ends of a segment.
4. Segment: This is a part of a line that has a fixed length and is defined by two endpoints.

So, the perpendicular bisector is a line or segment that passes through the midpoint of the given segment and is perpendicular to it. The midpoint is the point that is equidistant from both endpoints.

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Answer: 3.2z+80

Step-by-step explanation:

Answer:

Area=78m^2

Step-by-step explanation:

4*12=48m^2 <-- The area of a rectangle LxW

12*5=60 60/2=30 <-- The area of a triangle (HxB)/2

30+48=78m^2 Add them together to get the total area

Answer: A). It is 1/6 throughout the line

Step-by-step explanation:

Answer:7 - 9 = -2

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

Divide both sides by the numeric factor on the left side then solve.

Hope this helps.

Answer:

-24/5

Step-by-step explanation:

Carrie will run 12 laps around the gym.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that Paul runs two laps around the gym. Carrie runs 6 times as many laps as Paul.

If Paul runs 2 laps and Carrie runs 6 times as many laps as Paul, Carrie runs 6 times 2 laps.

The number of the laps covered by Carrie will be calculated as:-

Carrie = 2 x 6

Carrie = 12 laps

Therefore, Carrie runs 12 laps around the gym.

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The complete question is given below.

Paul runs two laps around the gym. Carrie runs 6 times as many laps as Paul. How many laps does Carrie run?

Answer:

22

Step-by-step explanation:

Formula : total divide by every hour

13.2/0.6 = 22

Thus, There will be 22 highways sign on the road trip.

[RevyBreeze]

The median number of employees in Seattle's industries, as indicated by the dot plot, is around 800 thousand.

According to the dot plot, the median number of employees in Seattle's industries is approximately 800 thousand. The dot plot displays the recorded data rounded to the nearest 10,000, so we can determine the median by finding the middle value in the dataset. As there are an equal number of dots on either side of the median, we locate the central dot, which represents the median value. In this case, it falls on or near the 80th position on the dot plot, which corresponds to the value of 800 thousand employees.

The median number of employees in Seattle's industries, as indicated by the dot plot, is around 800 thousand. The median represents the middle value in a dataset and is a robust measure of central tendency that is less influenced by extreme values or outliers. By examining the dot plot and identifying the position of the central dot, we can approximate the median as 800 thousand employees.

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By using a trigonometric relation, we will see that the value of x is 60.57°

On the image, we can see a right triangle where x represents one of the angles.

We can see that the length of the two catheti are shown, such that the adjacent cathetus is 2.2, and the opposite cathetus is 3.9, then we can use the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Then we can write:

tan(x) = 3.9/2.2

Using the inverse tangent function in both sides, we will get:

Atan( tan(x)) = Atan(3.9/2.2)

x = Atan(3.9/2.2) = 60.57°

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Answer:

C

Step-by-step explanation:

Answer:

a) Median: 9

b) Range: 5

c) Mode: 7

Step-by-step explanation:

The median is the number in the middle.

First, you put the numbers in order: 7, 7, 7, 8, 10, 11, 12, 12

The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

To find the range, you minus the highest number and the lowest number, 12-7=5.

Mode is the most occurring and repetitive number, in this case, 7, because it is written 3 times.

Hope this helps!!!

Answer:

\(\boxed{\mathrm {Median = 9}}\)

\(\boxed{\mathrm{Range = 5}}\)

\(\boxed{\mathrm{Mode = 7}}\)

Step-by-step explanation:

The observations are:

8,7,12,7,11,10,7,12

In ascending order:

=> 7,7,7,8,10,11,12,12

A) Median => Middlemost no.

Median = 8,10

=> \(\frac{8+10}{2}\)

=> \(\frac{18}{2}\)

Median = 9

B) Range = Highest No. = Lowest No.

RANGE = 12-7

Range = 5

C) Mode => frequently occurring number

Mode = 7

Step-by-step explanation:

i got 9x-9

hope this helps broo

Answer:

5/3

Step-by-step explanation:

using the "rise over run" method you can find out that the slope is 5/3.

Answer:

  90

Step-by-step explanation:

You want the nearest whole number to the boundary at the 88th percentile in a normal distribution with a mean of 78.6 and a standard deviation of 9.5.

Standard functions are available for finding the value corresponding to a given area under the normal probability density curve. Here, we want the value such that 12% of the area is above that value. It means 88% will be below the value. This is called the 88th percentile of the distribution.

The attached calculator output shows the test score for a letter grade of A must be at least 90.

You have not provided the contents of any of the drop-down menus, so we cannot say for certain what the answers should be--except in the case of "infinitely many solutions.

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

Based on the given conditions,

(1) No solutions :

There will be no solutions when the left side is inconsistent with the right side:

2x + 9 + 3x + x =  _ x + _

We can sum of difference,

6x + 9 = 6x

Subtract 6x from both sides,

6x - 6x = -9

9 = 0

9 = 0 which is absurd and hence the equation has no solution.

(2) One solutions :

There will be one solution when the left side and right side are not inconsistent and not the same.

2x + 9 + 3x + x = 15

6x + 9 = 15

Subtract 9 from both sides.

6x = 6

Divide both sides by 6.

x = 1 and this is the only solution.

(3) Infinity solutions :

There will be an infinite number of solutions when the equation is true for any value of x. This will be the case when the left side and right side are identical.

2x + 9 + 3x + x = 6x + 9

6x + 9 = 6x + 9

Subtract 6x from both sides,

9 = 9, both sides are balanced which means, the equation has infinitely many solutions.

Therefore,

2x + 9 + 3x + x = 6x

2x + 9 + 3x + x = 15

2x + 9 + 3x + x = 6x + 9

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R carries inversely as the cube S . If R=9 when S=3 ,  S= 4, when R= 243÷64.

Inverse proportionality is a mathematical relationship between two variables, in which an increase in one variable leads to a decrease in the other variable in such a way that their product remains constant. In other words, if the value of one variable is multiplied by a certain factor, the value of the other variable will be divided by the same factor.

Mathematically, two variables x and y are said to be inversely proportional if their relationship can be expressed as:

x * y = k

where k is a constant, and the symbol * denotes multiplication.

For example, the distance travelled by a car is inversely proportional to the time taken to travel that distance, assuming the car maintains a constant speed. If we let d represent the distance travelled and t represent the time taken, then we can express their relationship as:

d * t = k

where k is a constant

If R varies inversely as the cube of S, then we know that:

R ∝ \(\frac{1}{S^{3} }\)

We can express this relationship using a proportionality constant k:

R = \(\frac{k}{S^{3} }\)

To find the value of k, we can use the given information that R = 9 when S = 3:

9 = \(\frac{k}{3^{3} }\)

9 = \(\frac{k}{27 }\)

k = 9 * 27

k = 243

Now we can use this value of k to find S when R = \(\frac{243}{64}\):

\(\frac{243}{64}=\frac{243}{S^{3} }\)

Simplifying this equation, we get:

S³ = \(\frac{243*64}{243}\)

S³ = 64

S = ∛64

S = 4

Therefore, when R = \(\frac{243}{64}\), S = 4.

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Answer:

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)   is:

y = a(x - h)² + k  

So  the equation of the parabola with vertex (3, 4):

y = a(x - 3)² + 4

The parabola passes through point (2, -2) so if x=2 then y=-2

- 2 = a(2 - 3)² + 4

- 2 -4 = a(-1)² + 4 -4

- 6 = a

So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):

                                       y = - 6(x - 3)² + 4  

Answer:

I think the answer is A

1,2

Answer:

28

Step-by-step explanation:

it just is lol k

12345678]

Answer:

A=28

Step-by-step explanation:

A^2+21^2=35^2

A^2+441=1225

A^2=784

A=28

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,

Answer:

25

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97