What is the Mean Absolute Deviation of the following data set: 25 15 20 17 22 28 27

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = -7

a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236

Answer:

Step-by-step explanation:

Given, x1= 10

x2= 5

y1=1

y2=2

As we know, Slope of a line passing through points= m= y2-y1/x2-x1

Substituting the given value,

m= 2-1/5-10

m=-1/5

The base of the right triangle is 3/2 ft.

The area of a right triangle is given by the formula:

Area = (base × height) / 2

We are given that the area of the triangle is 9/16 sq. ft. and the height is 3/4 ft. So, substituting these values in the above formula, we get:

9/16 = (base × 3/4) / 2

Multiplying both sides by 2, we get:

9/8 = base × 3/4

Dividing both sides by 3/4, we get:

9/8 ÷ 3/4 = base

Simplifying, we get:

9/8 × 4/3 = base

3/2 = base

Therefore, the base of the right triangle is 3/2 ft.

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Answer:

12\(\sqrt{6}\) + 8\(\sqrt{15}\) + 12 + 4\(\sqrt{10}\)

Step-by-step explanation:

Using the rule of radicals

\(\sqrt{a}\) × \(\sqrt{b}\) ⇔ \(\sqrt{ab}\)

Given

(4\(\sqrt{3}\) + 2\(\sqrt{2}\) )(3\(\sqrt{2}\) + 2\(\sqrt{5}\) )

Each term in the second factor is multiplied by each term in the first factor, that is

4\(\sqrt{3}\) (3\(\sqrt{2}\) + 2\(\sqrt{5}\) ) + 2\(\sqrt{2}\) (3\(\sqrt{2}\) + 2\(\sqrt{5}\) ) ← distribute both parenthesis

= 12\(\sqrt{6}\) + 8\(\sqrt{15}\) + 12 + 4\(\sqrt{10}\)

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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It took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.

Let L(t) be the amount of undeveloped land in acres at time t, where t is measured in years since 2002. Then, we can write:

L(t) = 30 * (7/8)^t

We know that the amount of undeveloped land we are interested in is approximately 15.39 acres. Therefore, we can set up the following equation:

15.39 = 30 * (7/8)^t

To solve for t, we can first divide both sides by 30:

0.513 = (7/8)^t

Next, we can take the natural logarithm of both sides:

ln(0.513) = ln[(7/8)^t]

ln(0.513) = t * ln(7/8)

t = ln(0.513) / ln(7/8)

t ≈ 5.3

Therefore, it took approximately 5.3 years for the amount of undeveloped land to decrease to approximately 15.39 acres, starting from 30 acres in 2002.

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The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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the unit rate of change of flour with respect to sugar is the amount of flour that corresponds to one cup of sugar.

The unit rate of change of flour with respect to sugar is the amount of flour that corresponds to one cup of sugar.

To find the unit rate of change, we need to determine the ratio of the change in flour (y) to the change in sugar (x).

Let's denote the amount of flour as y and the amount of sugar as x.

The unit rate of change is given by the formula:

Unit rate of change = (change in y) / (change in x)

Since we want to know how much flour corresponds to one cup of sugar, we can set the change in sugar (x) to 1.

So, the unit rate of change of flour with respect to sugar is:

Unit rate of change = (change in y) / 1

This means that the unit rate of change of flour with respect to sugar is simply the change in flour.

the unit rate of change of flour with respect to sugar is the amount of flour that corresponds to one cup of sugar.

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Answer:50 pounds a month

Step-by-step explanation:400 divided by 8=50pounds

The rate of change of y with respect to x is given by dy/dx = xy - (3/2)x²y.

To find the rate of change of y with respect to x, we need to differentiate the given equation. The rate of change can be determined by taking the derivative of both sides of the equation with respect to x.

First, let's differentiate each term separately using the rules of differentiation.

Differentiating x²y with respect to x gives us 2xy using the product rule.

To differentiate 5, we know that a constant has a derivative of 0.

Differentiating 2ln(y) with respect to x requires the chain rule. The derivative of ln(y) with respect to y is 1/y, and then we multiply by dy/dx. So, the derivative of 2ln(y) is 2/y * dy/dx.

Differentiating x³ gives us 3x² using the power rule.

Now, we can rewrite the equation with its derivatives:

2xy - 2/y * dy/dx = 3x²

To solve for dy/dx, we can isolate it on one side of the equation. Rearranging the equation, we get:

2xy = 2/y * dy/dx + 3x²

To isolate dy/dx, we move the term 2/y * dy/dx to the other side:

2xy - 2/y * dy/dx = 3x²

2xy = 2/y * dy/dx + 3x²

2/y * dy/dx = 2xy - 3x²

Now, we can solve for dy/dx by multiplying both sides by y/2:

dy/dx = (2xy - 3x²) * (y/2)

Simplifying further, we have:

dy/dx = xy - (3/2)x²y

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Answer:

\(New\ Lengths = (14,21)\)

\(New\ Scale\ Factor = \frac{1}{7}\)

Step-by-step explanation:

Given

Rectangle:

Length = 2 in

Width = 3 in

Scale Factor = 7

Solving (a):

The side lengths of the new scale is calculated as follows;

New Lengths = Old Lengths * Scale Factor

\(New\ Lengths = (2,3) * 7\)

\(New\ Lengths = (2 * 7,3* 7)\)

\(New\ Lengths = (14,21)\)

Solving (b): To go back to the original length

Given that the initial scale factor is 7;

The new scale factor is the reciprocal of the old factor;

Hence;

\(New\ Scale\ Factor = \frac{1}{7}\)

Answer:

1/48

Step-by-step explanation:

For the left spinner, there are 8 equal slots and one of which is 6. The probabililty of landing on just six would be 1/8.

For the right spinner, there are 6 equal slots and one of which is C. The probability of landing on just C would be 1/6.

Now when we try to get to spin both of them at the same time we need to multiply the probabilities of both:

1/8*1/6=1/48

Hope this helps!

Answer:

Step-by-step explanation:

the probability is 1/48 because

to get a number 6 is a 1/8 percent chance.

the get the letter C is a 1/6 percent chance

you multiply 1/6 and 1/8 to get the probability of 1/48

Answer:

Step-by-step explanation:

a² - b² = (a +b)(a - b)

a = 525  & b  = 475

525² - 475² = (525 + 475) (525 - 475)

                   =1000 * 50

                   = 50,000

The value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

The expression given is:

(525)² - (475)²

The above expression looks similar to the expression (a²- b²).

The simplified form of the expression (a²- b²) is (a+b) (a-b).

So, (525)² - (475)² can be written as:

(525)² - (475)² = (525+475) (525-475)

(525)² - (475)² = 1000 * 50

(525)² - (475)² = 50000

Therefore, the value of (525)² - (475)² using the identity (a²- b²) = (a+b) (a-b) is 50000.

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Answer:

A) For the ratio 2:5:13, we can write:

2x + 5x + 13x = 192

Simplifying, we get:

20x = 192

x = 9.6

Therefore, the amounts received by the three people are:

2x = 19.2

5x = 48

13x = 124.8

The smallest share is 19.2 and the largest share is 124.8. Hence, the difference between the largest share and the smallest share is:

124.8 - 19.2 = 105.6

Therefore, the difference between the largest share and the smallest share is 105.6.

B) For the ratio 22:5:14, we can write:

22x + 5x + 14x = 192

Simplifying, we get:

41x = 192

x = 4.68

Therefore, the amounts received by the three people are:

22x = 102.96

5x = 23.4

14x = 65.52

The smallest share is 23.4 and the largest share is 102.96. Hence, the difference between the largest share and the smallest share is:

102.96 - 23.4 = 79.56

Therefore, the difference between the largest share and the smallest share is 79.56.

Here's how you can use the Trapezoidal Rule to approximate the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 in MATLAB:

```matlab

a = -2;    % Lower limit

b = 2;     % Upper limit

n = 1000;  % Number of subintervals (increase for higher accuracy)

h = (b - a) / n;   % Step size

x = a:h:b;         % Generate evenly spaced x values

y = 1 ./ (25 + x.^2).^1.5;  % Evaluate the function at x

approximation = h * (sum(y) - (y(1) + y(end)) / 2);  % Trapezoidal Rule approximation

fprintf('Approximation: %.6f\n', approximation);

```

1. We define the lower limit `a` as -2, the upper limit `b` as 2, and the number of subintervals `n` as 1000 (you can adjust `n` for higher accuracy).

2. We calculate the step size `h` by dividing the range (`b - a`) by the number of subintervals (`n`).

3. We generate an array `x` of evenly spaced values from `a` to `b` using the step size `h`.

4. We evaluate the function `f(x)` at each point in `x` and store the results in the array `y`.

5. Finally, we use the Trapezoidal Rule formula to approximate the integral by summing the values in `y` and adjusting for the endpoints, multiplying by the step size `h`.

The Trapezoidal Rule approximation for the integral of the function \(f(x) = \frac{1}{{(25+x^2)}^{\frac{3}{2}}}\) from -2 to 2 is the value calculated using the MATLAB code above.

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Answer:

An equilateral triangle may also be called a "regular" triangle. (A "regular" polygon has all equal sides and all equal angles.)An acute triangle has all angles measuring less than 90º. Note: It is possible for an acute triangle to also be scalene, isosceles, or equilateral.

Step-by-step explanation:

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To calculate the receivable days, divide the trade receivables (RM63,000) by the average daily sales (RM1,400) to get approximately 45 days.



To calculate the receivable days, we need to determine the average daily sales and then divide the trade receivables by that figure.

First, we calculate the average daily sales by dividing the total sales by the number of days in the year:

Average daily sales = Total sales / Number of days

Since the year ended on 30th June 2019, there are 365 days in total.

Average daily sales = RM511,000 / 365 = RM1,400

Next, we divide the trade receivables by the average daily sales to find the receivable days:

Receivable days = Trade receivables / Average daily sales

Receivable days = RM63,000 / RM1,400 ≈ 45 days

Therefore, Alice's receivable days on 30th June 2019 is approximately 45 days.

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Answer:

the answer Is 3

can you help me in something please?

Answer:

Area= MULTIPLICATION

So, 13x9x4x15x10=70200

70200 Square inches.

There are two rectangles in the idiosyncratic shape. In order to find the area of the figure, we need to solve for one rectangle first.

The formula for solving the area of a rectangle is \(A = lw\). For the smaller rectangle on the left, we have both the length and width, so we can just multiply after plugging in the numbers into the equation; \(A = 13 * 4\). The 13 represents the length and the 4 represents the width. After solving, we get 52 inches squared for the first rectangle.

The larger rectangle, we already have the length and width as well, so we can just plug the numbers into the formula, \(A = 15 *10\), as 15 represents the length and the 10 represents width. 15 × 10 = 150.

After doing this, we need to add up the two rectangles together, which we get a sum of 202. The total area of the figure is 202 inches squared.

Step-by-step explanation:

\( - \frac{1}{3} b = 9 \\ b = -9 \times 3 \\ b = - 27\)

Answer:

b=−27

Step-by-step explanation:

took the quiz and got it right

Answer:

for the 1 one is: ___________Find the x and y Intercepts___________

for the 2 one it is a: ________Graph_________

Step-by-step explanation:

BRAINLYLIST will highly appreciated

HAVE A GOD LIKE DAY

While Fortiai's AI model can certainly handle word problems using alphabets and simple arithmetic problems, its true strength lies in solving complex non-linear problems that require sophisticated analysis and modeling.

Fortiai's AI model is designed to solve complex non-linear problems. Unlike mathematical linear relationships that can be represented by a straight line, non-linear problems involve intricate interactions and dependencies that cannot be adequately captured by simple linear equations. Fortiai's AI model employs advanced techniques and algorithms to analyze and understand the complex relationships and patterns within the data.

By tackling non-linear problems, Fortiai's AI model can address a wide range of real-world challenges across various domains. These may include tasks such as predicting stock market trends, optimizing supply chain logistics, understanding natural language processing, image and speech recognition, and many other complex scenarios.

While Fortiai's AI model can certainly handle word problems using alphabets and simple arithmetic problems, its true strength lies in solving complex non-linear problems that require sophisticated analysis and modeling. By leveraging its capabilities, Fortiai aims to provide powerful solutions to intricate challenges and contribute to advancements in various fields through its AI technology.

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Leopard Company’s fiscal year ends on October 31. If the company uses a periodic inventory system, it will record transactions for the few days before and after October 31 as follows:

Leopard Company will record the transactions for the few days before and after October 31 as they occur and will adjust the inventory balance at the end of the fiscal year.Leopard Company will record sales and purchases as they occur, regardless of the fiscal year-end. However, since the company uses a periodic inventory system,

it will need to take a physical count of its inventory at the end of the fiscal year and adjust the inventory balance accordingly. The purpose of this adjustment is to ensure that the inventory balance on the balance sheet accurately reflects the quantity and cost of goods available for sale.

This adjusting entry is important to ensure accurate financial statements and to provide an accurate representation of the company's financial position.

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By definition of volume of sphere, The volume of the basketball is,

V = 3052.08 inches³

We have to given that;

The radius of a basketball is 9 inches.

Since, We know that;

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

And,  We know that;

Volume of sphere = 4/3πr³

Where, r is radius of sphere.

And, pi is stand for 3.14.

Hence, We get;

The volume of the basketball is,

⇒ V = = 4/3πr³

Substitute radius (r) = 9 inches, pi = 3.14 in above equation, we get;

⇒ V = 4/3 × 3.14 × 9³ inches³

⇒ V = 4/3 × 3.14 × 243 inches³

⇒ V = 3052.08 inches³

Therefore, The volume of the basketball is,

⇒ V = 3052.08 inches³

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Answer:x=2+2√3 OR x=2−2√3

Step-by-step explanation: The answer is too long to write down. For complete step-by-step, go to mathpapa algebra calculator and type in your question. It would be a bit too long and difficult to write down.

Hope this helps

BRAINLIEST please?

Answer:165degrees

Step-by-step explanation

Use formula N-2 × 180 N is the number of sides

24-2=22

22x180=3960 total

for each angle divide total by 24=165 degrees

Answer:

Yes

Step-by-step explanation:

Since the lines cross over each other, yes, they do bisect each other.

~theLocoCoco

Answer:

Option A 26cm3

Step-by-step explanation:

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