Subtract 7x^2-5x+3 - (2x^2+7x-4)

Answer:

Three-week moving average forecast

[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]

[tex]MSE = 11.90[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}{Month} & {1} & {2} & {3} & {4} & {5}& {6} & {Value} & {18} & {13} & {16} & {11} & {17} & {14} \ \end{array}[/tex]

Solving (a): Three-week moving average forecast

This is calculated as:

[tex]F_{t+1} = \frac{\sum recent\ k\ data}{k}[/tex]

Since it is three-week, we start from t = 3

For t = 3; we consider months 1, 2 and 3

[tex]F_{3+1} = \frac{18 + 13 + 16}{3}[/tex]

[tex]F_{4} = \frac{47}{3}=15.67[/tex]

For t = 4; we consider months 2, 3 and 4

[tex]F_{4+1} = \frac{13 + 16+11}{3}[/tex]

[tex]F_{5} = \frac{40}{3}=13.33[/tex]

For t = 5; we consider months 3, 4 and 5

[tex]F_{5+1} = \frac{16+11+17}{3}[/tex]

[tex]F_{6} = \frac{44}{3}=14.67[/tex]

So, the forecast are:

[tex]F_{4} =15.67[/tex]

[tex]F_{5} = 13.33[/tex]

[tex]F_{6} = 14.67[/tex]

[tex]\begin{array}{ccc}{Week} & {Time\ Series\ Value} & {Forecast} & {1} & {18} & { } & 2 & {13} & { } & {3} & {16} & { } & {4} & {11} & {15.67 } & 5 & {17} & {13.33 } & {6} & {14} & {14.67 } \ \end{array}[/tex]

Solving (b): MSE

To do this, we simply calculate the square of the forecast error

The forecast error (E) is:

[tex]E = Time\ Series\ Value - Forecast[/tex]

So, we have:

Forecast error                                                     The square

[tex]E_4 = 11 - 15.67 = -4.67[/tex]                                       [tex]E_4^2 =21.81[/tex]

[tex]E_5 = 17 - 13.33 = 3.67[/tex]                                          [tex]E_5^2 = 13.45[/tex]

[tex]E_6 = 14 - 14.67 = -0.67[/tex]                                       [tex]E_6^2 = 0.45[/tex]

[tex]MSE = \frac{E_4^2 + E_5^2 + E_6^2}{3}[/tex]

[tex]MSE = \frac{21.81 + 13.45 + 0.45}{3}[/tex]

[tex]MSE = \frac{35.71}{3}[/tex]

[tex]MSE = 11.90[/tex]

Answer:

[tex]\begin{array}{ccc}{Error} & {f} & {RF} & {Pilot} & {384} & {0.242} & {Human} & {69} & {0.043} & {Weather} & {362}& {0.228}& {Mechanical} & {435}& {0.274} & {Sabotage} & {338}& {0.213} \ \end{array}[/tex]

The most serious threat is mechanical problems.

Step-by-step explanation:

Given

[tex]Pilot \to 384[/tex]

[tex]Human \to 69[/tex]

[tex]Weather \to 362[/tex]

[tex]Mechanical \to 435[/tex]

[tex]Sabotage \to 338[/tex]

Solving (a): The relative frequency table

The relative frequency (RF) is calculated as:

[tex]RF = \frac{Frequency}{Total\ Frequency}[/tex]

Where

[tex]Total\ Frequency = 384 + 69 + 362+ 435 +338[/tex]

[tex]Total\ Frequency = 1588[/tex]

So, the relative frequencies is as follows:

[tex]Pilot = 384/1588 = 0.242[/tex]

[tex]Human = 69/1588 = 0.043[/tex]

[tex]Weather = 362/1588 =0.228[/tex]

[tex]Mechanical = 435/1588 = 0.274[/tex]

[tex]Sabotage = 338/1588 = 0.213[/tex]

So, the relative frequency table is:

[tex]\begin{array}{ccc}{Error} & {f} & {RF} & {Pilot} & {384} & {0.242} & {Human} & {69} & {0.043} & {Weather} & {362}& {0.228}& {Mechanical} & {435}& {0.274} & {Sabotage} & {338}& {0.213} \ \end{array}[/tex]

Solving (b): The most serious threat

The most serious threat is the one with the highest frequency, and that is the mechanical problems.

Carrying out maintenance schedule and removal of potential threat are some of the ways it can be minimized.

Answer:

Adding, Substracting, multiplication and division. If you add the same number to both sides of an equation, both sides will remain equal.

Step-by-step explanation:

Answer:

112+31=143

180-143=37

DF-->DE-->EF

Step-by-step explanation:

Answer:

yes. In highschool the passing grade is

80-89 (B) thats pretty much good.

70-79 (C) average

65-69 (D) passing

BELOW 65 (F) FAILING

Although A - is the highest grade you can receive on an assignment, and it's between 90% and 100% ... D - this is still a passing grade, and it's between 59% and 69% F - that pretty much a failing grade.

Step-by-step explanation:

the first one is ( vertical )..

the third one is 59.

Answer:

[tex]y=\frac{3}{4} x-\frac{9}{2}[/tex]

Step-by-step explanation:

Y=mx+c

Y=-3, X=2, m=3/4

(2)(3/4)=6/4=3/2

-3-3/2=-9/2

SO,

c=-9/2

Answer: i

Step-by-step explanation:

It is imaginary, since if you try squaring numbers, ex: -1, 1,0,2 you always get a number bigger or equal to 0.

For years mathematicans argued weather the square root of -1 (or any negative number) should exist.

Then one day, a mathematician proposed a soulution, the square root of -1 could be i. Everyone liked that and so now the square root of -1 is i

Answer:

1/8

Step-by-step explanation:

FREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer:

Its 6 <3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

[tex]22\frac{1}{6}[/tex]

Step-by-step explanation:

2+4=6

21X6=126

126+7=133

133/6= 22R1

Answer:

N

Step-by-step explanation:

the first 3 is the x value, or the horizontal line value, and the second 3 is the y value, or the vertical line value.

Answer:

16a^4 + 4a^2* b^2 + b^4

4a^2 ( 4a^2+b^2)+b^4

4a^2 (2a+b+b)^2 +(b^2)^2

4a^2 ( 2a+b+b^2)^2-4ab^2

4a^2-4ab^2(2a+b+b^2)

4a(a-b^2) (2a+b+b^2)

Answer:

y =1/3x+20

Step-by-step explanation:

He starts 20 minutes late so we need to add 20 minutes to the time

He travels 3 times faster so he takes 1/3 of the normal time x

y =1/3x+20

Answer:

A) y = 1/3x + 20

Answer:

6

Step-by-step explanation:

Graphically, this is a very easy question to cheat through.  I'll show the easiest way to solve.

First, add the four squares that make up the square in the center of the quadrilateral.  Now, notice that the two triangles left on the ends are exactly the same size.  So if you put them together, the cover up two more squares.  Which gives you 2 + 4 =6.

Or the mathematical way which is to find the area of the square as 2 * 2 = 4

and the area of one triangle as 1/2 * 2 * 1 = 1 ad the other triangle is the same.  So add all three 4 + 1 + 1 = 6

Answer:

True

Step-by-step explanation:

Answer:

16.5

Step-by-step explanation:

Hey Mate Please Mark Me As Brainlist

========================================================

Explanation:

We want to avoid having a negative number under the square root. Solving [tex]x-4 \ge 0[/tex] leads to [tex]x \ge 4[/tex]

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

-------------

The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression [tex]\frac{3}{\sqrt{x-4}}[/tex] is positive because positive/positive = positive.

Therefore, the range of the given equation is y > 0

-------------

The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).

Answer:

Step-by-step explanation:

[tex]\sqrt{50}+\sqrt{18}=\sqrt{2*5^2}+\sqrt{2*3^2}=5\sqrt{2}+3\sqrt{2}=8\sqrt{2}[/tex]

Answer:11

Step-by-step explanation:

Answer: 16^2 + 12^2

Step-by-step explanation:

20^2 = 400

16 x 16 = 256

12 x 12 = 144

256 + 144 = 400

Answer:

[tex]DF=15, DE=5\sqrt{3}[/tex]

Step-by-step explanation:

[tex]sin(60)=\frac{DF}{EF} =\frac{DF}{10\sqrt{3} }\\DF=10\sqrt{3} sin(60)=10\sqrt{3} \times \frac{\sqrt{3} }{2} =15\\cos(60)=\frac{DE}{EF} =\frac{DE}{10\sqrt{3} }\\DE=10\sqrt{3} cos(60)=10\sqrt{3} \times \frac{1 }{2} =5\sqrt{3}[/tex]

Answer:

0.125b

Since 1 headphone would be 1/8=0.125, 0.125 x b would be the equation

Answer:

(B) Second Graph

Step-by-step explanation:

Edge 2021

Answer:

C on edge 2022

Step-by-step explanation:

y = 2^x–2 + 3

Answer:

c

Step-by-step explanation:

0 is at 3 so its +3

the difference between y's is -2 and between x's is 1 so -2/1 is -2 as you slope

Answer:

The appropriate answer is "0.437".

Step-by-step explanation:

Given:

P(rain) = 0.14

then,

P(no-rain) = 1-P(rain)

                 = 1-0.14

                 = 0.86

P(delay) = 0.16

P(rain and on time) = 0.79

then,

By using the conditional probability, we get

⇒ [tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

or,

⇒ [tex]P(no \ rain|delay) = \frac{P(no \ rain \cap delay)}{P(delay)}[/tex]

By substituting the values, we get

⇒                             [tex]=\frac{0.07}{0.16}[/tex]

⇒                             [tex]=0.437[/tex]  

Answer:

x = 8

Step-by-step explanation:

Since the lines are parallel:

the given angles are alternate exterior angles and alternate exterior angles has same measures

8x = 64 divide both sides by 8

x = 8

9514 1404 393

Answer:

See the attachment. Brainly doesn't like function constructs using f as a function name. Hence the picture.