The time series regression model contains a variable W and a regression equation of y = 200 + W + 2W2 to forecast future values. If W represents a time period, what is the forecast for time period 2 and the forecast error if the actual value for time period 2 is 100? Select the best answer.
forecast value = 210; forecast error is 110
forecast value = 210; forecast error is -110
forecast value = 210; forecast error is 0
forecast value = 100; forecast error is 0

Answer:

25 managers

Step-by-step explanation:

25% percent of the people are managers.

So 25% of 100 is 25 because 25% means 25/100. So there are 25 managers.

Answer:

A

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

it's Y over X

I also took this test on edge :)

(a) The gradient at (1,1,1) is (e,4,12), (b) direction of fastest increase is \((e/13,4/13,12/13)\), (c) rate of increase in that direction is 17e/13, and (d) the equation of the tangent plane to the ellipsoid \(x^2+2y^2+3z^2=6\) at \((1,1,1) is x+2y+3z=9.\)

(a) Using partial derivatives, we can find the gradient of f:

\(∇f(x,y,z) = ( ∂f/∂x, ∂f/∂y, ∂f/∂z ) = ( e^x, 4y, 12z^3 )\)

Thus, at the point (1,1,1), we have:

\(∇f(1,1,1) = ( e, 4, 12 )\)

(b) The direction of fastest increase of f at (1,1,1) is given by the unit vector in the direction of the gradient:

\(v = ∇f(1,1,1)/||∇f(1,1,1)|| = ( e/13, 4/13, 12/13 )\)

(c) The rate of increase of f in the direction of v is given by the directional derivative:

\(D_v f(1,1,1) = ∇f(1,1,1) · v = (e/13) + (4/13) + (12/13) = (17e/13\))

(d) The equation of the tangent plane to the ellipsoid \(x^2 + 2y^2 + 3z^2 = 6\)at the point (1,1,1) can be found by using the gradient of the left-hand side of the equation:

\(∇(x^2 + 2y^2 + 3z^2) = ( 2x, 4y, 6z )\)

At the point (1,1,1), this is:

\(∇(x^2 + 2y^2 + 3z^2)|_(1,1,1) = ( 2, 4, 6 )\)

The normal vector to the tangent plane is therefore (2,4,6), and the equation of the tangent plane is:

2(x-1) + 4(y-1) + 6(z-1) = 0

Simplifying, we get:

x + 2y + 3z = 9

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Answer:

13x-39=39

13x=78

 the answer is x=6

Answer:

10cm

Step-by-step explanation:

pretty sure the diameter is measured by multiplying the radius twice :)

Answer:

Diameter = 10 cm

Circumference = 31.43 cm

Area = 78.57 cm²

1) C = 3.14 × 1 cm

or, C = 3.14 cm

2) C = 2 × 3.14 × 5m

or, C = 3.14 × 10m

or, C = 31.4 m

3) C = 2 × 22/7 × 14 cm

or, C = 28 × 22/7 cm

or, C = 4 × 22 cm

or, C = 88 cm

4) L = 90/360 × 2 × 22/7 × 5 cm

or, L = 1/4 × 10 × 22/7 cm

or, L = 220/28 cm = 55/7 cm

or, L = 7 whole 6/7 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:de

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

The integer that represents the change in temperature from 10:00 am to 2:00 pm is 16.

The rate of change of variable {say (y)} with respect to {say (x)} is given by -

r = Δy/Δx  

or

r = (y₂ - y₁)/(x₂ - x₁)

Given is that on wednesday, the temperature dropped at an average of 4°C/hr.

Now, from 10:00 am to 2:00 pm, there are 4 hours. So, there will be a drop of 16°C from 10:00 am to 2:00 pm.

Therefore, the integer that represents the change in temperature from 10:00 am to 2:00 pm is 16.

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Then a z-score such that the interval within one standard deviation of the mean contains a 50%  probability is 1.

To find a z-score where an interval within x standard deviations of the mean contains a 50%  probability, you can use the standard normal distribution (also known as the z-distribution).

In a standard normal distribution, the 50%  probability is between -1 standard deviation and +1 standard deviation from the mean. Therefore, a range within one standard deviation contains a 50%  probability.

If you want to obtain a z-score over a range of x standard deviations, you can simply set x  to the desired number of standard deviations. In this case x = 1.

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Answer:

Step-by-step explanation:

yokjjnkjbhygvj

Answer: I know your answer would be NO. BY THE WAY WHICH SCHOOL DO YOU ATTEND.

Step-by-step explanation:

Was I in the class with you when learning about this topic.

Answer:

A.

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

-4/9=x/108

you must multiply both sides

108*-4/9 = x*108

=-9/4

(a) Inverse Laplace transform of \( F(s)=\frac{3 s+5}{s^{2}+7} \)

Using partial fractions:$$ \frac{3 s+5}{s^{2}+7}=\frac{A s+B}{s^{2}+7} $$

Multiplying through by the denominator, we get:$$ 3 s+5=A s+B $$

We can solve for A and B:$$ \begin{aligned} A &=\frac{3 s+5}{s^{2}+7} \cdot s|_{s=0}=\frac{5}{7} \\ B &=\frac{3 s+5}{s^{2}+7}|_{s=\pm i \sqrt{7}}=\frac{3(\pm i \sqrt{7})+5}{(\pm i \sqrt{7})^{2}+7}=\frac{\mp 5 i \sqrt{7}+3}{14} \end{aligned} $$

Therefore:$$ \frac{3 s+5}{s^{2}+7}=\frac{5}{7} \cdot \frac{1}{s^{2}+7}-\frac{5 i \sqrt{7}}{14} \cdot \frac{1}{s+i \sqrt{7}}+\frac{5 i \sqrt{7}}{14} \cdot \frac{1}{s-i \sqrt{7}} $$

Hence, the inverse Laplace transform of \( F(s)=\frac{3 s+5}{s^{2}+7} \) is:$$ f(t)=\frac{5}{7} \cos \sqrt{7} t-\frac{5 \sqrt{7}}{14} \sin \sqrt{7} t $$

Inverse Laplace transform of \( F(s)=\frac{3(s+3)}{s^{2}+6 s+8} \)

Using partial fractions:$$ \frac{3(s+3)}{s^{2}+6 s+8}=\frac{A}{s+2}+\frac{B}{s+4} $$

Multiplying through by the denominator, we get:$$ 3(s+3)=A(s+4)+B(s+2) $$

We can solve for A and B:$$ \begin{aligned} A &=\frac{3(s+3)}{s^{2}+6 s+8}|_{s=-4}=-\frac{9}{2} \\ B &=\frac{3(s+3)}{s^{2}+6 s+8}|_{s=-2}=\frac{15}{2} \end{aligned} $$

Therefore:$$ \frac{3(s+3)}{s^{2}+6 s+8}=-\frac{9}{2} \cdot \frac{1}{s+4}+\frac{15}{2} \cdot \frac{1}{s+2} $$

Hence, the inverse Laplace transform of \( F(s)=\frac{3(s+3)}{s^{2}+6 s+8} \) is:$$ f(t)=-\frac{9}{2} e^{-4 t}+\frac{15}{2} e^{-2 t} $$

Inverse Laplace transform of \( F(s)=\frac{1}{s\left(s^{2}+34.5 s+1000\right)} \)

Using partial fractions:$$ \frac{1}{s\left(s^{2}+34.5 s+1000\right)}=\frac{A}{s}+\frac{B s+C}{s^{2}+34.5 s+1000} $$

Multiplying through by the denominator, we get:$$ 1=A(s^{2}+34.5 s+1000)+(B s+C)s $$We can solve for A, B and C:$$ \begin{aligned} A &=\frac{1}{s\left(s^{2}+34.5 s+1000\right)}|_{s=0}=\frac{1}{1000} \\ B &=\frac{1}{s\left(s^{2}+34.5 s+1000\right)}|_{s=\pm i \sqrt{10.5}}=\frac{\mp i}{\sqrt{10.5} \cdot 1000} \\ C &=\frac{1}{s\left(s^{2}+34.5 s+1000\right)}|_{s=\pm i \sqrt{10.5}}=\frac{-10.5}{\sqrt{10.5} \cdot 1000} \end{aligned} $$

Therefore:$$ \frac{1}{s\left(s^{2}+34.5 s+1000\right)}=\frac{1}{1000 s}-\frac{i}{\sqrt{10.5} \cdot 1000} \cdot \frac{1}{s+i \sqrt{10.5}}+\frac{i}{\sqrt{10.5} \cdot 1000} \cdot \frac{1}{s-i \sqrt{10.5}} $$

Hence, the inverse Laplace transform of \( F(s)=\frac{1}{s\left(s^{2}+34.5 s+1000\right)} \) is:$$ f(t)=\frac{1}{1000}-\frac{1}{\sqrt{10.5} \cdot 1000} e^{-\sqrt{10.5} t}+\frac{1}{\sqrt{10.5} \cdot 1000} e^{\sqrt{10.5} t} $$

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Answer:

By adding all the answer will be 1 3/10

Answer:

21

Step-by-step explanation:

Given the following expressions

f(x) = x³-2x

g(x) =-x-2

We are to find (fog)(-5)

fog = f(g(x))

f(g(x)) = f(-x-2)

Replace x with -x-2 in f(x)

f(-x-2) = (-x-2)³-2(-x-2)

f(-x-2) = (-x-2)³+2x+4

fog = (-x-2)³+2x+4

Substitute x = -5 into the result

fog(-5) = (-x-2)³+2x+4

fog(-5) = (-(-5)-2)³+2(-5)+4

fog(-5) = (5-2)³-10+4

fog(-5) = 3³-6

fog(-5) = 27-6

fog(-5) = 21

Hence the required result of the composite function is 21

Answer:

59

Step-by-step explanation:

5: 30 pm is 2.5 hours after 3 : 00 pm

Substitute x = 2.5 into the equation

y = - 6.2(2.5)² + 41.5(2.5) - 5.6

  = - 38.75 + 103.75 - 5.6

  = 59.4

The average number of cars is 59

Answer:

ok

Step-by-step explanation:

good night human being

Answer: goodnight!

Step-by-step explanation: i'm not going to sleep either, it's only 7 pm for me LOL

-8c^3/d^6 is equivalent to the expression

Answer:

-8c^3/d^6

You are correct!

The probability that, in any hour, exactly 2 cars will enter the car wash is 0.1606.

Cars enter a car wash at a mean rate of 3 cars per half an hour, we need to find the probability that, in any hour, exactly 2 cars will enter the car wash.

Here, we have the mean rate of cars entering the car wash in half an hour. Thus, the number of cars entering the car wash in an hour follows a Poisson Distribution with parameter λ, where

λ = 3 cars/half an hour = 6 cars/hour

Now, we need to find the probability of 2 cars entering the car wash in an hour.

\(P(x=2) = e^(-λ) (λ^x)/x!\)

\(= e^(-6) (6^2)/2!\)

= 0.1606 (rounded to four decimal places)

Therefore, the probability that, in any hour, exactly 2 cars will enter the car wash is 0.1606.

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The solution to the system of equations is (x, y) = (2, 4) and (x, y) = (-2, 4).

To find the solution to the system of equations, we can set the two equations equal to each other: 2x^2 - 4 = 4

Adding 4 to both sides: 2x^2 = 8

Dividing both sides by 2: x^2 = 4

Taking the square root of both sides (considering both positive and negative square roots): x = ±2

Now, we substitute the value of x into either of the original equations to find the corresponding y-values. Let's use the second equation: y = 4

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Answer:

x^3+3x^2+3x+1

The total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.

The price of a stock is equal to the current dividend plus the present value of all future dividends plus the price in one year. As a result, the share price of SPCC after a year will be:$112 = $7 + $105 + PV$PV = $0

Using the formula of the total return of an asset, which is equal to its capital gain plus dividend yield, we have;Total Return = Capital Gain + Dividend YieldCapital Gain = (Ending Price - Initial Price) / Initial PriceCapital Gain = ($112 - $97) / $97 = 0.1546 or 15.46%Dividend Yield = Annual Dividend per Share / Initial PriceDividend Yield = $7 / $97 = 0.0721 or 7.21%

Therefore, the total return over the year is 15.46%. The dividend yield is 7.21%, and the capital gain rate is 15.46%.

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Answer

5/48, 3/16, 0.5, 0.75

Step-by-step explanation:

Answer:

34 days

Step-by-step explanation:

if you do six assignments a week, you have finished 42 assignments in one week. then multiply that with four, which is 168 (not exceeding 174) and add  6 days. 4 weeks and 6 days is 34 days.

have a great day and thx for your inquiry :)

Answer:

7 / 15= 0.47

Step-by-step explanation:

There are 380 ways to determine the first and second place in the race.

In a race, there are 20 runners. Trophies for the race are awarded to the runners finishing in first and second place. In how many ways can first and second place be determined?When the trophies for the race are awarded to the runners finishing in first and second place, then it means that there are only two trophies to be awarded. Now, the number of ways in which the two trophies can be awarded can be calculated by permutation, which is a way of counting the arrangements or selections of objects in which order is important.

To determine the number of ways first and second place can be determined in a race with 20 runners, we can use the concept of permutations.

The first-place finisher can be any one of the 20 runners. After the first-place finisher is determined, there are 19 remaining runners who can finish in second place. Therefore, the number of ways to determine the first and second place is given by:

Number of ways = 20 * 19 = 380

So, there are 380 ways to determine the first and second place in the race.

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The graph of the derivative of a function provides information about the rate of change and the slope of the original function at different points.

To graph the derivative of a function given the graph of the function, you can follow these steps:

Start with the graph of the original function. Make sure you have a clear understanding of its shape and behavior.

Identify critical points on the graph of the function, which are the points where the function has maximum or minimum values or where its slope changes abruptly.

Use the information from the critical points to determine the intervals where the derivative is positive or negative. In the intervals where the function is increasing, the derivative will be positive, and in the intervals where the function is decreasing, the derivative will be negative.

Find any vertical asymptotes or discontinuities in the original function. These points will also affect the behavior of the derivative.

Plot the derivative on a separate graph, using the information from steps 3 and 4. On the derivative graph, mark positive values above the x-axis and negative values below the x-axis.

Indicate the critical points and any vertical asymptotes or discontinuities on the derivative graph.

Connect the points on the derivative graph smoothly, considering the behavior of the original function and the values of the derivative at different points.

By following these steps, you can create a graph of the derivative that provides information about the rate of change and the slope of the original function at different points. The derivative graph helps in understanding the increasing and decreasing behavior of the function and provides insights into its concavity and local extrema.

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Answer:

y = -2x + 7

Step-by-step explanation:

slope = -2 = m

Point-Slope Form

y-y1 = m(x - x1)

(3,1)

x = 3 y = 1 m = -2

y-y1 = m(x - x1)

y-1 = -2(x - 3)

y-1 = -2x + 6

y = -2x + 7

or you can find b using

y = mx + b

1 = -2(3) + b

1 = -6 + b

7 =  b

re-plug in just m & b

y = -2x + 7

Answer:

It really just deleted my answer..

Solve.

4p^2 - 50 = 350

O {-100, 100}

O {-400, 100}

O {-10, 100}

Step-by-step explanation:

You're welcome.

Answer:

40 feet 20 feet

Step-by-step explanation:

sorry I know this was already answer but need the points- But the first one the other person put was right :D

Answer:

I got 240 inches and 120 inches hopefully that's correct we go to the same school btw!!

Step-by-step explanation:

The equation of the curve that passes through the point (2, 3) and has a slope of y\(e^{(-2x)\) at any point (x, y), where y > 0, is y = 2\(e^{(2x)\) - 2.

To find the equation of the curve, we need to integrate the given slope function with respect to x, and then use the given point (2, 3) to determine the constant of integration.

Given slope function: y = y\(e^{(-2x)\)

Taking the derivative of both sides with respect to x:

dy/dx = -2y\(e^{(-2x)\)

Now we have the derivative of y with respect to x. To find y itself, we integrate both sides of the equation:

∫dy = ∫-2y\(e^{(-2x)\)dx

Integrating both sides, we have:

y = ∫-2y\(e^{(-2x)\)dx

To solve this integral, we can use the technique of integration by parts:

Let u = y, dv = -2\(e^{(-2x)\)dx

du = dy, v = ∫-2\(e^{(-2x)\)dx

Integrating v, we get:

v = ∫-2\(e^{(-2x)\)dx = -\(e^{(-2x)\)

Using the integration by parts formula:

∫uv dx = uv - ∫vdu

We can substitute the values into the formula:

y = -y\(e^{(-2x)\) - ∫-\(e^{(-2x)\)dy

Simplifying the equation:

y = -y\(e^{(-2x)\) + \(e^{(-2x)\) + C

Now we need to determine the constant of integration. To do this, we use the given point (2, 3). Plugging in x = 2 and y = 3 into the equation:

3 = -3\(e^{(-4)\) + \(e^{(-4)\) + C

Simplifying the equation further:

3 = -2\(e^{(-4)\) + C

C = 3 + 2\(e^{(-4)\)

Finally, substituting the value of C back into the equation, we have the equation of the curve:

y = -y\(e^{(-2x)\) + \(e^{(-2x)\) + (3 + 2\(e^{(-4)\))

Simplifying the equation:

y + y\(e^{(-2x)\) = \(e^{(-2x)\) + (3 + 2\(e^{(-4)\))

y(1 + \(e^{(-2x)\)) = \(e^{(-2x)\) + (3 + 2\(e^{(-4)\))

y = (\(e^{(-2x)\) + (3 + 2\(e^{(-4)\))) / (1 + \(e^{(-2x)\))

This is the equation of the curve that passes through the point (2, 3) and has a slope of y\(e^{(-2x)\) at any point (x, y), where y > 0.

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