B. (a) Discuss in detail the main steps of the Box-Jenkins methodology for the fitting of ARMA models on univariate time series. In your discussion include details of the various diag- nostic tests an

Answer:

It will take them 7.89 days

The population mean is greater than 30.To determine the sample mean that would result in a p-value of 0.05, we need to work backwards from the given significance level.

First, we need to find the test statistic. Since the alternative hypothesis is one-sided (μ>30), we will use a one-sample z-test. The test statistic is calculated as:

z = (xbar - μ) / (s / sqrt(n))

where xbar is the sample mean, μ is the hypothesized population mean under the null hypothesis, s is the sample standard deviation, and n is the sample size.

Since we want the p-value to be equal to 0.05, we need to find the z-score that corresponds to a one-tailed area of 0.05. Using a standard normal distribution table or calculator, we find that this z-score is 1.645.

Substituting this value into the formula for the test statistic, we get:

1.645 = (xbar - 30) / (10 / sqrt(70))

Solving for xbar, we get:

xbar = 30 + 1.645 * (10 / sqrt(70))

xbar = 31.77

Therefore, the sample mean that would result in a p-value of 0.05 is 31.77. This means that if we were to obtain a sample mean of 31.77 or higher, we would reject the null hypothesis at a significance level of 0.05 in favor of the alternative hypothesis that the population mean is greater than 30.

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Answer:

D. none of the above

Step-by-step explanation:

Answer:

It is D: None of the above

Step-by-step explanation:

I just took the test, trust me i got it right ;)

Answer:

Least common denominator is 12

Step-by-step explanation:

1/4=3/12

1/6=2/12

The initial value problem x^2y'' - 2xy' + 2y = ln(x), y(1) = 1, y'(1) = 0 is a second-order linear differential equation with variable coefficients. The equation involves the second derivative of the unknown function y, its first derivative, and the function itself. The initial conditions are specified at the point (1, 1) with a given value for y and its derivative.

The equation x^2y'' - 2xy' + 2y = ln(x) represents a second-order linear differential equation. It contains the unknown function y and its derivatives up to the second order. The variable coefficients in the equation, x^2, -2x, and 2, introduce dependence on the independent variable x.

The initial conditions y(1) = 1 and y'(1) = 0 specify the values of y and its derivative at x = 1. These initial conditions provide the starting point for solving the differential equation and finding a particular solution that satisfies both the equation and the given initial conditions.

Solving this initial value problem involves finding the general solution to the differential equation and applying the initial conditions to determine the specific solution that satisfies the given conditions. The solution to this problem will be a function y(x) that meets both the differential equation and the initial conditions y(1) = 1 and y'(1) = 0.

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The marked price of a product is usually its printed price. Any discounts offered to apply to the marked price only.

After applying a discount on the marked price we get the selling price of the product.

in the above question,

GIVEN-

Marked price -rs 480

discount offered - 3 percent

now,

SP= MP-(MP*D%)

=> 480 - (480*0.03)

=> 480 - (14.4)

=> 465.6

hence the required selling price is rs. 465.6

Answer:

I just did it this is the right answer.

It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.

Step-by-step explanation:

The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The first column, Months Passed, has the entries, 0, 3, 4, 8.

And, The second column, Total Houses Built, has the entries,

0, 33, 46, 108.

Hence, Rate of change are,

⇒ (33 - 0) / (3 - 0) = 11

⇒ (46 - 33) / (4 - 3) = 13

Thus, It does not show a constant rate of change.

Hence, The correct statement is,

'' It is nonlinear because the increase in the “Total Houses Built” compared to the increase in the “Months Passed” does not show a constant rate of change.''

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This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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Answer:

Random and Representative.

Step-by-step explanation:

According to the Question,

The solution of the above equation 7 + b = 11(b - 3) is b = 4.

According to the given question.

We have a linear equation in one variable

7 + b = 11(b - 3)

Since, we have to solve the above equation for b.

As we know tha, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

Thereofore, the solution of the above equation 7 + b = 11(b - 3) is given by

7 + b = 11(b - 3)

⇒7 + b = 11b - 33                       ( distributive property)

⇒ 7  = 11b - b - 33           (subtract b from both the sides)

⇒ 7 = 10b -33

⇒ 7 + 33 = 10b   ( adding 33 both the sides)

⇒ 40 = 10b

⇒ 40/10 = b    ( dividing by 10 both the sides)

⇒ 4 = b or b = 4

Therefore,  the solution of the above equation 7 + b = 11(b - 3) is b = 4.

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The statement is True only for independent events and False otherwise. The statement "p (A ∩ B) = p(A). p(B)" is not always true for any two events A and B defined on a sample space S of an experiment.

This equation only holds true if A and B are independent events, meaning that the occurrence of one event does not affect the probability of the other event happening. In other words, p(A|B) = p(A) and p(B|A) = p(B).

If A and B are dependent events, meaning that the occurrence of one event affects the probability of the other event happening, then the equation does not hold true. In this case, the probability of A and B occurring together (p(A ∩ B)) would be less than the product of the probabilities of A and B occurring separately (p(A).p(B)).

Therefore, the statement is not always true and depends on whether A and B are independent or dependent events.

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The area of the regular pentagon given a side of 10 in is 172.0 in².

A pentagon is an object that is made up of five sides. The sum of the internal angles of a pentagon is 540 degrees.

Area of a pentagon = 1/4√\(\sqrt{5 ( 5 + 2 \sqrt{5} ) }\) a²

Where a = side = 10

A = 1/4√\(\sqrt{5 ( 5 + 2 \sqrt{5} ) }\) 10²

A = 172.02 in²

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Answer:

2t

Step-by-step explanation:

The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slopes 2 in the positive x direction and 2 in the positive y direction, is 2x + 4y - 8 = 0.

To locate the equation of the tangent airplane to the floor described with the aid of the feature f(x, y) = \(x^2 - 2xy + 3y^2\), we need to decide the gradient vector and consider it at a given point.

The gradient vector will grant the ordinary vector to the tangent plane, and by way of the use of the slope information, we can discover the equation of the plane.

Calculate the partial derivatives of the feature with recognize to x and y:

f_x = 2x - 2y

f_y = -2x + 6y

Set up a device of equations the use of the given slope information:

f_x = 2

f_y = 2

Solve the machine of equations to discover the factor where the slopes are satisfied:

2x - 2y = 2 --> x - y = 1 --> x = y + 1

-2x + 6y = 2 --> -x + 3y = 1 --> -x = 1 - 3y --> x = 3y - 1

Setting the two expressions for x equal to every other:

y + 1 = 3y - 1

2 = 2y

y = 1

Substitute y = 1 into both expression for x:

x = 1 + 1

x = 2

Therefore, the factor the place the slopes are comfy is (2, 1).

Evaluate the gradient vector at the factor (2, 1):

grad(f) = (f_x, f_y) = (2x - 2y, -2x + 6y)

= (2(2) - 2(1), -2(2) + 6(1))

= (2, 4)

The ordinary vector to the tangent airplane is the gradient vector (2, 4).

Using the point-normal structure of the equation for a plane, the equation of the tangent airplane is:

2(x - 2) + 4(y - 1) + d = 0

To decide the price of d, alternative the coordinates of the factor (2, 1):

2(2 - 2) + 4(1 - 1) + d = 0

0 + 0 + d = 0

d = 0

The equation of the tangent airplane is:

2(x - 2) + 4(y - 1) = 0

Simplifying the equation, we have:

2x - 4 + 4y - 4 = 0

2x + 4y - 8 = 8

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Replace c with 30:

F =9(30)/5 + 32

F = 270/5 + 32

F = 54 + 32

F = 86

The answer is 7h and 12m

Step-by-step explanation:

To solve for time, divide the distance traveled by the rate. For example, if Sergio continues reading the total of 216 pages, then he had finish reading for 7 hours and 12 minutes!

Answer:

Option C: The skaters path intersect twice, but only one of those points is inside the rink.

Step-by-step explanation:

Coordinates of center of ice rink: (0,0) Radius of ice rink circle = 35 m

We know that the equation of a circle with center coordinates (a,b) and radius of (r) is given as; (x - a)² + (y - b)² = r²

Thus, the total area on which the skaters are skating will be given by the equation;

x² + y² = 35²

Now, we are told the path along which Susan is skating is modeled by the equation: y = 6x - x² - 5

While Luke starts at (10, –21) and skates along a path that can be modeled by a quadratic function with a vertex at (8, –9)

From equation of a parabola, the path along which like is skating can be modeled by;

(x - 8)² = 4a(y + 9)

To find a, we will substitute the coordinate started at to get;

(10 - 8)² = 4a(-21 + 9)

4 = 4a × -12

Divide both sides by 4 to get;

a = -1/12

Thus;

(x - 8)² = 4(-1/12)(y + 9)

(x - 8)² = (-1/3)(y + 9)

This gives: 3(x - 8)² = -(y + 9)

I've drawn the graph on demos and attached it.

From the graph we can see that the skaters points intersect twice but one is inside the rink circle while the other is outside the rink circle. The point at which they intersect outside the rink was slightly cropped out because of size. But it is clearly seen that they are both approaching point of intersection.

Thus, correct answer is Option C.

Answer:

5^x2+13x+338.6

Step-by-step explanation:

Answer:

x = - 1/2

Step-by-step explanation:

x - 2 = 3x - 1    We have to subtract x from both sides of the equation and we    have to add 1 to both sides of the equation.

-1 = 2x           Divide 2 from both sides of the equation

x = - 1/2           <-- This is your answer

Hope this helps!

Answer:

I believe its A

Step-by-step explanation:

Sorry if im wrong

Answer:

x=1

Step-by-step explanation:

The Miller index notation for the (100) plane in an FCC crystal structure is [100].

Miller indices are a way to describe crystal planes and directions in a standardized manner. In the case of FCC crystal structure, the (100) plane is parallel to the x-y plane and intersects the x-axis, y-axis, and z-axis at points where the Miller indices are (1,0,0), (0,1,0), and (0,0,1), respectively.

However, to express the (100) plane in a concise and standardized manner, we can use the Miller index notation, which involves taking the reciprocals of the intercepts of the plane with the crystallographic axes and then reducing them to the smallest integer values. In the case of the (100) plane in FCC, all of the intercepts are 1, so the Miller indices are [100].

the pd expression for the (100) plane in FCC crystal structure is [100].

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Applying the product property of square roots, the items that will fill the empty boxes given the radicals above are:

2a: 3√2

2b: √24

2c: = 2√6

2d: √9 * √6

2e: √36 * √2

2f: 6√2

The product property of square roots states that the square root of a product of two numbers is equal to the product of the square roots of those numbers. In other words, if a and b are non-negative real numbers, then the square root of ab is equal to the square root of a multiplied by the square root of b. Mathematically, it can be written as:

√(ab) = √a * √b

Given the radicals above, we would have the following:

2a:

√18 = √9 * √2 = 3√2

2b and 2c:

√24 = √4 * √6 = 2√6

2d:

√54 = √9 * √6 = 3√6

2e and 2f:

√72 = √36 * √2 = 6√2

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Mobile ladder stands with a top step over 10 feet high and 20 inches or more in depth must be equipped with a safety cage or body belt and lanyard to provide protection against a fall.

The cage should be at least 30 inches tall and should be fully enclosed on all four sides. Additionally, the top step should be enclosed and provided with a grab bar. The ladder must be securely supported and stabilized. Non-skid materials should be applied to the steps and platform. Finally, the ladder must meet safety requirements outlined in the Occupational Safety and Health Administration's (OSHA) regulations.

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Answer:

The pool holds 660,000 gallons of water.

Step-by-step explanation:

63/100 = 415,800/x

cross multiply so 415,000 * 100 = 41,500,000

41,500,000 / 63 = 660,000

Answer:

9. 33% Increase

10. 14 games

11. $3.6

12. $10.80

13. 630

14. 6.3