sweets are sold loose,or pre-packed in 120g bags

The time series component that reflects the random changes in a time series that are not caused by any other components, and tends to hide the existence of the more predictable components, is called the "random" or "irregular" component.

It represents the noise or fluctuations in the time series that cannot be explained by any of the other components, such as trend, seasonality, or cyclical variations. The irregular component is also known as the "white noise" or "error" component, and it is typically modeled as a random process with zero mean and constant variance. It is important to separate out the irregular component from the other components in order to identify the underlying patterns and trends in the time series, and to make accurate forecasts and predictions.

what is white noise?

In time series analysis, "white noise" refers to a random process where the values at each point in time are independently and identically distributed with a mean of zero and a constant variance.

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Answer:

10 cm

Step-by-step explanation:

V =1/3 x π x r² x h

94.25 =1/3 x π x 3² x h

94.25 ÷ 3π =h

so, h= 10 cm

The measure of angle Y is m - 8 = 72.25 - 8 = 64.25 degrees.

What is the supplementary angle?

Two angles are said to be supplementary if their sum is equal to 180 degrees. In other words, if angle A and angle B are supplementary, then:

A + B = 180.

Since angles X and Y are supplementary, their measures add up to 180 degrees. So we have:

X + Y = 180

Substituting the given values, we get:

115.75 + (m - 8) = 180

Simplifying, we get:

m - 8 = 180 - 115.75

m - 8 = 64.25

Adding 8 to both sides, we get:

m = 72.25

Therefore, the measure of angle Y is m - 8 = 72.25 - 8 = 64.25 degrees.

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The area of the composite shape are

1. Orange

2. Light blue

3. Purple

4. Green

5. Red

6. Yellow

7. Light green

8. Yellow

9. Dark blue

10. Pink

The area of the composite shapes are solved as follows

1. rectangles

= 7 * 3 + (15 - 7) * 1.5

= 21 + 12

= 33 square cm

2.

= 39 x 4 + 0.5(39 + 26) x (18 - 4)

= 156 + 455

= 611 square m

3.

= 12 * 15 + 0.5 x 15 x 10

= 180 + 75

= 255 square ft

4.

= 15 x 7 + 0.5 x π x 3.5 x 3.5

= 105 + 19.24

= 124.2 square cm

5.

= 0.5 x 10 x 22 - 0.5 x 6 x 12

= 110 - 36

= 74 square yd

6.

= 0.5 x π x 3 x 3 + 0.5 x 6 x 11

= 14.14 + 33

= 47.1 square m

7.

= 18 x 6 - 2 x π x 2 x 2

= 108 - 25.13

= 82.8 square m

8.

= 4 x 16 + 0.5 (16 + 10) x (8 - 4)

= 64 + 52

= 116 square cm

9.

= 18 x 8 - 4 * 0.5 x 4 x 4

= 144 - 32

= 112 square cm

10.

= [0.5 (7 + (9 + 3)) x (15 + 6 - 17)] + [(17 - 6) x (9 + 3)] + [6 x 9]

= 38 + 132 + 54

= 224 square cm

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Answer:

[tex] \frac{36}{12} = \frac{39}{x - 10} [/tex]

[tex] 3 = \frac{39}{x - 10} [/tex]

[tex]3(x - 10) = 39[/tex]

[tex]x - 10 = 13[/tex]

[tex]x = 23[/tex]

Answer:

The Circumference of the circle shown in the picture is 87.96

Step-by-step explanation:

The formula in order to find the circumference is C=2πr.

r in this example is 14

so C= 2 * π * 14

π is always a constant value so all you have to do is add it to the calculator to get your answer.

Hope this helps!

To verify that fxy = fyx for the given function f(x,y)=e^(x+y+3), we need to find the partial derivatives of f with respect to x and y, and then check if they are equal.

Let's begin by finding the partial derivative of f with respect to x (f_x): f_x = (∂f/∂x) = (∂/∂x) e^(x+y+3) = e^(x+y+3) * (∂/∂x) (x+y+3) [using chain rule] = e^(x+y+3)

Now, let's find the partial derivative of f with respect to y (f_y): f_y = (∂f/∂y) = (∂/∂y) e^(x+y+3) = e^(x+y+3) * (∂/∂y) (x+y+3) [using chain rule] = e^(x+y+3)

Now, let's find the mixed partial derivative of f with respect to x and y (f_xy): f_xy = (∂^2 f/∂y∂x) = (∂/∂y) e^(x+y+3) = e^(x+y+3) * (∂/∂y) (x+y+3) [using chain rule] = e^(x+y+3)

Similarly, the mixed partial derivative of f with respect to y and x (f_yx) can be found as: f_yx = (∂^2 f/∂x∂y) = (∂/∂x) e^(x+y+3) = e^(x+y+3) * (∂/∂x) (x+y+3) [using chain rule] = e^(x+y+3)

Now, we can see that fxy = fyx, as both are equal to e^(x+y+3). Hence, we have verified that the given function f(x,y)=e^(x+y+3) satisfies the condition fxy = fyx.

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The lengths of all four sides of parallelogram ABCD:

AB = 15 cm, BC = 33 cm, CD = 15 cm and AD = 33 cm

Consider a parallelogram ABCD

Let's assume that x represents the length of sides AD and BC

y be the length of sides AB and CD

We know that the formula for the perimeter of parallelogram is

P = 2(length + width)

Here,  AD is 3 cm more than twice AB

So we get an expression,

AD = 3 + 2(AB)

AD = 3 + 2y

x  = 3 + 2y

USing above formula of perimeter, the perimeter of parallelogram ABCD would be,

P = 2(x + y)

96 = 2(3 + 2y + y)

48 = 3 + 3y

45 = 3y

y = 15 cm

And x = 3 + 2(15)

x = 33 cm

Therefore, the lengths of sides AD and BC =  33 cm and the lengths of sides AB and CD = 15 cm

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Answer:

c > 7

Step-by-step explanation:

Now we have to,

→ Find the required value of c.

The equation is,

→ 2(3c + 15) + 4c > 100

Then the value of c will be,

→ 2(3c + 15) + 4c > 100

Applying Distributive property:

→ 2(3c) + 2(15) + 4c > 100

→ 6c + 30 + 4c > 100

Combining the like terms:

→ 10c + 30 > 100

→ 10c > 100 - 30

→ 10c > 70

Dividing the value 70 with 10:

→ c > 70 ÷ 10

→ [ c > 7 ]

Hence, the answer is c > 7.

Hello !

Answer:

[tex]\boxed{\sf c > 7 \ \ \ ||\ \ \ \sf (7,+\infty)}[/tex]

Step-by-step explanation:

We are looking for the values of c that satisfy the following inequality :

[tex]\sf 2(3c + 15) + 4c > 100[/tex]

Let's expand the left side of the inequality.

[tex]\sf 2\times 3c +2\times 15+4c > 100\\6c+30+4c > 100[/tex]

Now we will combine like terms :

[tex]\sf 10c+30 > 100[/tex]

Let's substract 30 from both sides of the inequality.

[tex]\sf 10c+30-30 > 100-30\\10c > 70[/tex]

Finally, let's divide both sides by 10.

10>0 so the inequality remains the same.

[tex]\sf\frac{10c}{10} > \frac{70}{10} \\\boxed{\sf c > 7}[/tex]

Have a nice day ;)

The exact lengths of the missing sides for the right triangle using trigonometric ratio of the respective angles are: a = 4, b = 4√3, c = 4√3, and d = 4√6

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

sin 30 = a/8 {opposite/hypotenuse}

a = 8 × 1/2 {sin 30 = 1/2}

a = 4

cos 30 = b/8 {adjacent/hypotenuse}

b = 8 × √3/2 {cos 30 = √3/2}

b = 4√3

sin 45 = 4√3/d

d = 4√3 × 2/√2 {sin45 = √2/2}

d = 4√6

cos 45 = c/4√6

c = 4√6 × √2/2

c = 2√12

c = 4√3

Therefore, the exact lengths of the missing sides for the right triangle using trigonometric ratio of the respective angles are: a = 4, b = 4√3, c = 4√3, and d = 4√6

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Around 21.13% of the batteries will final(last) between 90.6 and 109.8 hours. 

To unravel this issue, ready to utilize the standard typical conveyance by standardizing the values utilizing the equation:

z = (x - μ) / σ

where

x is the esteem we need to discover the likelihood

μ is cruel(mean), and σ is the standard deviation.

So, for the lower conclusion of the extent, we have:

z1 = (90.6 - 105) / 12 ≈ -1.20

z1 = -1.20

And for the upper conclusion of the extension, we have the:

z2 = (109.8 - 105) / 12 ≈ 0.45

z2 =  0.45

We need to discover the rate of batteries that will final(last) between these two values, which compares to the area under the typical bend between z1 and z2.

Able to utilize a standard ordinary conveyance table or calculator to discover this zone, or we will utilize the properties of the typical conveyance to inexact it.

Since the typical conveyance is symmetric around the cruel, we know that the zone between z1 and z2 is the same as the range between -z2 and -z1 (i.e., the comparing values on the other side of the mean).

So, ready to discover the range between -z2 and -z1, which compares to the rate of batteries that will final between 90.6 and 109.8 hours:

P(-z2 < z < -z1) ≈ P(z < -z1) - P(z < -z2)

Employing a standard typical dissemination table or calculator, we discover:

P(z < -1.20) ≈ 0.1151

P(z < -0.45) ≈ 0.3264

So, the rate of batteries that will final between 90.6 and 109.8 hours is rough:

P(-z2 < z < -z1) ≈ 0.3264 - 0.1151 ≈ 0.2113

Increasing by 100%, we get:

0.2113 * 100% ≈ 21.13D

44 Subsequently, roughly 21.13% of the batteries will final between 90.6 and 109.8 hours. 

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The account value after forty years is approximately $489,074,140.57.

To calculate the account value after forty years, we need to use the formula for the future value of an annuity:

[tex]FV = P * [(1 + r)^n - 1] / r[/tex]

where FV is the future value, P is the annual payment, r is the interest rate, and n is the number of periods.

In this case, we have:

P = $3,000 in year 1, and then $3,300 in year 2, $3,600 in year 3, and so on

r = 8.35% = 0.0835 (assuming the interest rate is compounded annually)

n = 40 years

To compute the future worth of the annuity, we really want to ascertain the aggregate sum of installments over the 40 years. This should be possible involving the equation for the amount of a number-crunching series:

S = n/2 * [2a + (n-1)d]

where S is the sum, a is the first term, d is the common difference, and n is the number of terms.

In this case, we have:

a = $3,000

d = $300

n = 40

Plugging these values into the formula, we get:

S = 40/2 * [2($3,000) + (40-1)($300)] = $2,340,000

Thus, the aggregate sum of installments more than 40 years is $2,340,000.

We can now enter these figures into the formula for annuity future value:

[tex]FV = P * [(1 + r)^n - 1] / r[/tex]

[tex]FV = $2,340,000 * [(1 + 0.0835)^{40} - 1] / 0.0835[/tex]

FV = $2,340,000 * 209.251

FV = $489,074,140.57

Consequently, after forty years, the account's value is approximately $489,074,140.57.

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The equation of the translated function q(x) in slope-intercept form is q(x) = 2x - 13.

The function p(x) = 2(x - 4) can be rewritten in slope-intercept form as:

p(x) = 2x - 8

To translate the graph of p(x) two units to the right and one unit down, we need to make the following adjustments to the equation:

So the equation of the translated function q(x) in slope-intercept form is:

q(x) = 2(x - 2) - 8 - 1

Simplifying, we get:

q(x) = 2x - 13

Therefore, the equation of the translated function q(x) in slope-intercept form is q(x) = 2x - 13.

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the solution to the equation "3 + 2 if = 7" when solving for "if" is "if = 2".It's possible intended question was to solve variable "if" in the equation "3 + 2 if = 7". In that case, we use algebra to solve for "if" as follows:

what is  variable ?

In mathematics, a variable is a symbol or letter that represents a quantity that can vary or change in value. Variables are used to express relationships between different quantities and to solve equations.

In the given question,

It seems like the question is incomplete or there may be a typo. The equation provided "3 + 2 if = 7" is not solvable as it is.

It's possible that the intended question was to solve for the variable "if" in the equation "3 + 2 if = 7". In that case, we can use algebra to solve for "if" as follows:

First, we can isolate the variable term by subtracting 3 from both sides of the equation:

3 + 2 if - 3 = 7 - 3

Simplifying the left-hand side:

2 if = 4

Finally, we can solve for "if" by dividing both sides by 2:

if = 2

Therefore, the solution to the equation "3 + 2 if = 7" when solving for "if" is "if = 2".

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Someone js help me answer this question:

. simplify  3 + 2 if = 7 ?

22 unit² is the area of trapezoid .

In arithmetic, what is a polygon?

A polygon is a closed, one-dimensional, flat or planar structure that is circumscribed by straight sides. There are no curves on its sides. Polygonal edges are another name for the sides of a polygon. A polygon's vertices (or corners) are the places where two sides converge.

this is trapezoid .

area of trapezoid  = 1/2 * sum of parallel side * height

                            = 1/2 * (3 + 8 ) * 4

                            = 22 unit²

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Answer:

17/12

Step-by-step explanation:

What is the missing number in [_] -3/4=2/3?

Let the missing number be x

We have

x - 3/4 = 2/3

x = 2/3 + 3/4

x = 8/12 + 9/12

x = 17/12

So, the missing number is 17/12

The solution of the given equation 6e/7 = 48 is given by, e = 56.

Equation is a mathematical statement where various numerical values, mathematical variables, mathematical operations, exponents or combination of them related via equal sign.

Given the equation is,

6e/7 = 48

We have to solve this equation and have to find the value of 'e' which satisfy this equation.

Solving the given equation we get,

6e = 48*7 [On multiplying 7 with both sides]

6e = 336

e = 336/6 [On dividing 6 from both sides]

e = 56

Hence the solution of the given equation is, e = 56.

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Answer:

To solve this problem, we need to calculate the compound interest on the loan over the 9-year period. We can break this down into two parts: the first 5 years, during which the interest rate is 7%, and the remaining 4 years, during which the interest rate is 11%.

For the first 5 years, we can use the formula for compound interest:

A = P * (1 + r/n)^(n*t)

where A is the amount after t years, P is the principal (the initial amount borrowed), r is the annual interest rate as a decimal, n is the number of times the interest is compounded per year, and t is the time in years.

In this case, P = $1350, r = 0.07, n = 1 (compounded annually), and t = 5. Plugging in these values, we get: A = 1350 * (1 + 0.07/1)^(1*5) = $1872.73 (rounded to the nearest cent)

So after 5 years, Imaan owes $1872.73.

For the remaining 4 years, we can use the same formula with r = 0.11 and t = 4: A = 1872.73 * (1 + 0.11/1)^(1*4) = $2959.77 (rounded to the nearest cent)

So after 9 years, Imaan owes $2959.77. However, this is the amount she would owe if she paid back the loan in a single payment at the end of 9 years. If she pays back the loan in installments, she will need to pay interest on the outstanding balance each year. Without information about the payment schedule, we can't calculate the exact amount she will have to pay back.

The amount Imaan has to pay back, after 9 years at 5% and 11% per annum interest, obtained using the compound interest formula is about $2,616

A compound interest is an interest calculated using based on the interest earned on from previous periods of the investment or loan.

The amount, A, Imaan pays back after 9 years can be obtained using the compound interest formula as follows;

A = P·(1 + r)ⁿ

Where;

P = The principal amount borrowed = $1,350

r = The interest rate = 7% and 11%

n = The number of years = 5 years and (9 - 5) years

The value of the loan after the first 5 years is therefore;

A = $1350 × (1 + 5/100)⁵ ≈ $1722.98

The value of the loan after the next four years, at 11% per annum, interest rate is therefore;

A = $1,722.98 × (1 + 11/100)⁴ ≈ $2616

The value of the loan, and the amount Imaan has to pay back after the 9 years is about $2,616

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Answer:

linear

Step-by-step explanation:

i js took the test

The kind of model that best describes the data is a linear relation

From the question, we have the following parameters that can be used in our computation:

{(0, 0), (−1, −3), (−2, −6), (−3, −9), (−4, −12)}

In the above dataset, we can see that

Using the above as a guide, we have the following:

The relation has a constant rate of -3/-1

Evaluate

The relation has a constant rate of 3

Only linear relations have constant rates

Hence, the kind of model that best describes the data is a linear relation

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The expression that represents the relationship between the step number n and the total number of small squares in the pattern is this: (n-1)^2.

From the given information, we can see that the pattern starts with 0 squares at step 1, and each subsequent step adds a square to the pattern. However, the lower right square is always missing. Therefore, the total number of small squares in the pattern at step n can be represented by the expression: (n-1)^2

The reason we subtract 1 from n is that we started counting from step 1, whereas the expression (n-1)^2 assumes that we start counting from 0. Then we square (n-1) to account for the number of squares in the pattern, excluding the missing square in the lower right corner.

Complete Question:

Which expression represents the relationship between the step number n and the total number of small squares in the pattern?

A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.

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The equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

The equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values given, we get:

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

Expanding and simplifying, we get the final equation of the circle:

(x - 3)^2 + (y + 4)^2 = 36

Therefore, the equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

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The best type of study is RCT randomized controlled trial.

The practise of gathering and analysing data with the purpose of identifying patterns and trends is known as statistical analysis. It is a technique for eliminating bias from data evaluation by using numerical analysis. This method is beneficial for gathering research interpretations, creating statistical models, and organising surveys and studies.

In the false idea that there must be an underlying causal relationship because the data reveals a correlation, people frequently misunderstand and misuse the concept of causality in statistics. The best method for proving that two variables are causally related is to utillize a controlled study.

Randomised controlled trials (RCTs) are the most effective study design for proving causality. The treatment group in an RCT receives the intervention under study, whilst the control group either receives no intervention or a placebo. Participants are then randomly assigned to one of the two groups. The RCT helps to adjust for confounding variables and demonstrate a cause-and-effect relationship between the intervention and the result by randomly allocating participants.

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Answer:

4/5 ×400

0.8 × 400

=320 freshmen study algebra.

I had used fraction method.

The measure of angle JCA is 57°

When two lines intersect, the opposite (X) angles are equal. This means ;

123° = JCY

and JCA = YCK ( verically opposite angles)

The sum of angle at a point is 360. This means the addition of all the angles above is 360°.

Representing angle JCA by x , therefore,

x+x +123+123 = 360°( angle at a point)

2x + 246 = 360

2x = 360-246

2x = 114

divide both sides by 2

x = 114/2

x = 57°

therefore the measure of angle JCA is 57°

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The area of the sector in terms of pi is: 75π cm²

The Length of arc = 15π cm

Area of a sector = ∅/360 * πr²

Length of arc = ∅/360 * 2πr, where r is the radius and ∅ is the reference angle.

Given the following:

Reference angle (∅) = 270°

Radius of circle (r) = 10 cm

Area of the sector = 270/360 * π * 10²

Area of the sector = 75π cm²

Length of arc = 15π cm

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If the cabinets are 34 inches tall, 24 inches deep, and 16 inches wide, the volume of the kitchen cabinets is 16,384 cubic inches.

To find the volume of the rectangular prisms-shaped kitchen cabinets, we need to multiply the three dimensions: height, depth, and width. We are given the following measurements:

Height = 34 inches

Depth = 24 inches

Width = 16 inches

So the formula for the volume is:

Volume = Height x Depth x Width

Substituting the given values, we get:

Volume = 34 x 24 x 16

Volume = 16,384 cubic inches

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Answer: Exact Form:

1/16

Decimal Form:

0.0625

Step-by-step explanation: