Find the value of x and y

The degrees of freedom for error in a two-way ANOVA experiment with 3 levels for factor a, 7 levels for factor b, and 100 replications is 2071.

The degrees of freedom (df) for error in a two-way ANOVA experiment depend on the sample size (n) and the number of parameters estimated in the model.

In a two-way ANOVA experiment, we are interested in modeling the response variable as a function of two factors, a and b, and their interaction. The model can be written as follows:

Yij = μ + αi + βj + (αβ)ij + εij

In general, the df for error can be calculated as follows:

df error = n - k

where k is the number of parameters estimated in the model.

In our case, we have 3 levels for factor a, 7 levels for factor b, and 100 replications. Therefore, the total sample size is n = 3 x 7 x 100 = 2100.

To estimate the parameters in the model, we need to calculate the following:

The overall mean μ

The effect of factor a, αi, for i = 1, 2, 3

The effect of factor b, βj, for j = 1, 2, ..., 7

The interaction effect between factors a and b, (αβ)ij, for i = 1, 2, 3 and j = 1, 2, ..., 7

Therefore, the total number of parameters estimated in the model is

=> k = 1 + 3 + 7 + 3 x 7 = 29.

Finally, we can calculate the df for error as:

df error = n - k = 2100 - 29 = 2071.

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Answer:

x = 1

Step-by-step explanation:

2(4x + 5) - 3 = 5x(2+1)

Distribute.

8x + 10 - 3 = 10x + 5x

Subtract 8x from both sides.

10 - 3 = 10x + 5x -8x

Solve

7 = 15x - 8x

7 = 7x

1 = x

Answer:

= 3y-2x+18=0

Step-by-step explanation:

Gradient (m) = -2/3

The equation of the line is given by the formula

[tex] = \frac{y - y1}{x - x1} = m[/tex]

Point = (6,-10)

y1 = -10

x= 6.

note// y and x were not given .

=

[tex] = \frac{y - ( - 10)}{x -6} = \frac{ - 2}{3} \\ = \frac{y + 10}{x - 6} = \frac{ - 2}{3} \\ = 3(y + 10) = - 2(x - 6) \\ = 3y + 30 = - 2x + 12 \\ = 3y = - 2x + 12 - 30 \\ = 3y = 2x - 18 \\ = 3y - 2x + 18 = 0[/tex]

therefore the equation of the line = 3y-2x+18=0

Answer: 5 1/4

Step-by-step explanation:

Answer: 4 people

Step-by-step explanation:

As you can see the money spent is on one side of the graph and the people attending on the other. Try to go along the line of where 60 is and find where the line meets the line on 60. Look down and you can see 4.

Answer:

16% is the answer.

Answer:

16%

Step-by-step explanation:

$6 divided by $5.04 = 0.84

0.84 x 100 = 84%

100 - 84 = 16

6 - 5.04 = 0.96

0.96 divided by 6 = 0.16

0.16 x 100 = 16

Answer:

If you want it simplified, it is 3x + 14!

Hope it helps!

The answers to the geometry questions are given as follows:

2)

a)

A = 8

b = 10

x = 118°

y = 62°

b)

a = 8

b = 15

y = 50

x = 100°

3)

(a)

∠2 = 25°

3 = 65°

∠4 = 65°

∠5 = 90°

(b)

since SL = 10,

i) LT  10

ii) TM = 10

iii) SM = 10

4)

a) Since m∠118

∠2 = 18°

∠3 = 72°

∠4 = 72°

If FA = 27, then LO = 13.5

5)
a) All the angles in the diagram are equal to ∠45°
b) Line BC = 6√2
c) Line BE  = 6

The above are solved using the principles behind the properties of Parallelograms; Rhombus, Rectangle, and Square.

Since the above answers are justified by the qualities or properties of :

Parallelograms; Rhombus, and Rectangle, let's look at them one by one.

2

a)

A = 8 - opposite sides of a parallelogram are equal in length

b = 10 -opposite sides of a parallelogram are equal in length

y = 62° - opposite angles of a parallelogram are of equal measure.

x = 118° - Sum of angles of a parallelogram - 360°. x = (360 - (62*2))/2

= 118°

3)

(a) Here we have a Rhombus.

∠2 = 25° - Opposite angles of a rhombus are equal; Diagonals bisect the angles of a rhombus. Thus ∠1≅∠2

∠3 = 65° - Since diagonals bisect each other at right angles, ∠3 = 180 - (25+90) = 65°

∠4 = 65° - Diagonals bisect the angles of a rhombus. Thus, ∠3≅∠3

∠5 = 90° - [properties of a Rhombus]

(b)

since SL = 10,

i) LT  10 - All sides of a Rhombus are equal

ii) TM = 10 - All sides of a Rhombus are equal

iii) SM = 10 - All sides of a Rhombus are equal

4) Here we have a Rectangle.

a) Since m∠18

∠2 = 18° because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠2≅∠1 (AAS)

∠3 = 72° - Each interior angle is equal to 90 degrees. Thus, m∠ =  90-18 = ∠72°

∠4 = 72° - because The diagonals bisect each other; and both the diagonals have the same length. Thus, m∠4≅∠3(AAS)

If FA = 27, then LO = 13.5 - The diagonals bisect each other.Thus,

LO = FA/2

LO = 27/2

LO = 13.5

5) Here we have a square.
a) All the angles in the diagram are equal to ∠45°. This is because, the diagonals bisect all interior angles. Since each interior angle is 90°, thus, each of the resulting angle bisected 45°

b) Line BC = 6√2 - This is be
c) Line BE  = 6

The length of one-half of the diagonal of a square can be found using the Pythagorean theorem, which relates the lengths of the sides of a right triangle.

Let s be the side length of the square. Then, the length of the diagonal of the square (d) can be found using the equation d = s√2.

In this case, s = 6√2. So, the length of the diagonal (d) is:

d = s√2 = (6√2)√2 = 6(√2)(√2) = 6(2) = 12

Therefore, one-half of the diagonal of the square is:

(1/2)d = (1/2)(12) = 6

So, the length of one-half of the diagonal of the square ABCD is 6.

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Answer:answer

Step-by-step explanation:because

The value of is equal to the length of the side of the larger square minus the sum of the lengths of the two segments.

The value of is equal to the length of the side of the larger square minus the sum of the lengths of the two segments. This is because the area of the smaller square inscribed in the larger square is equal to the product of the side lengths of the smaller square. If a vertex of the smaller square is located on the side of the larger square, the side of the larger square is divided into two segments with one segment having length and the other having length . The side length of the larger square is then equal to the sum of the lengths of the two segments plus the side length of the smaller square, which is . Therefore, the side length of the larger square minus the sum of the lengths of the two segments is equal to the side length of the smaller square, or the value of is equal to two segments.

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Answer:

The expressions are identical, as shown by two methods:  1) equation rearrangement and 2) mathematical calculations.

Step-by-step explanation:

2(x + 5) + 3x

Let's simplify this expression.

2(x + 5) + 3x  

2x + 10 + 3x    [remove parentheses]

5x + 10              [combine like terms]

This matches the other expression.

5x + 10

Several values of x are calculated for both expressions and are shown on the attached table.  Each expression results in the same value for a given value of x.  This comparison also holds for negative numbers.

Answer: 165 (look at the image for the solution)

Step-by-step explanation:

Answer:

x = 655

Step-by-step explanation:

find the pressure of x and y by using radical expressions and then solving it with the theory called x ^2+ y^2 = c^2

In rectangle WXYZ, the length of each diagonal are 40.97 units and 39.98 units.

To find the lengths of the diagonals of rectangle WXYZ, we can use the Pythagorean theorem.

The diagonal WX is the hypotenuse of right triangle WXY, so we have:

WX^2 = WY^2 + XY^2

Similarly, the diagonal YZ is the hypotenuse of right triangle XYZ, so we have:

YZ^2 = XY^2 + XZ^2

Substituting the given values for WY and XZ, and x = 2, we get:

WY = 24(2) - 8 = 40

XZ = -18(2) + 13 = -23

Plugging these values into the equations above and simplifying, we get:

WX^2 = 40^2 + XY^2

YZ^2 = XY^2 + (-23)^2

Since XY is a common side of both triangles, we can solve for it by setting the two expressions for XY^2 equal to each other:

40^2 + XY^2 = XY^2 + (-23)^2

Simplifying, we get:

40^2 + 23^2 = 2XY^2

XY^2 = (40^2 + 23^2) / 2 = 1039

Substituting this value for XY^2 in the equations for WX^2 and YZ^2, we get:

WX^2 = 40^2 + 1039 = 1679

YZ^2 = 1039 + (-23)^2 = 1598

Taking the square roots, we get:

WX = sqrt(1679) ≈ 40.97

YZ = sqrt(1598) ≈ 39.98

Therefore, the length of each diagonal of Rectangle are approximately 40.97 units and 39.98 units.

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_____The given question is incomplete, the complete question is given below:

Find the lengths of the diagonals of rectangle WXYZ.

WY = 24x-8

XZ = -18x+13

x= 2

The length of each diagonal is ___ units.

Hi there, here's your answer:

Before answering this question, we need to know the concept of 'End Behavior'.

What's "end behavior"?

The end behavior of a function [tex]f[/tex] describes the behavior of the graph of the function at the "ends" of the x-axis.

In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞) and to the left end of the x-axis (as x approaches -∞).

Thus, as V approaches negative infinity, V(x) approaches negative infinity.

And

As V approaches infinity, V(x) approaches infinity.

Hope it helps! Please mark as brainliest!

Answer:

Not enought information

Step-by-step explanation:

We need the function in question 1

However, If I had to guess I'd say

1. infinity

2. negative infinity

well, let's first off get the whole area of the circular garden, and then from it subtract the area of the squarish sculpture, thus what's leftover is simply the shaded area, or just the garden minus the sculpture.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{whole~circle}{\pi (6x)^2}~~ - ~~\stackrel{square}{(4x)(6x)}}\implies 36\pi x^2-24x^2\implies {\Large \begin{array}{llll} 12x^2(3\pi -2) \end{array}}[/tex]

Answer:

y = -5 [tex]\frac{1}{5}[/tex] o r -5.02 as a decimal

Step-by-step explanation:

-5(y + 0.2) = 25  Distribute the -5

-5(y) + -5(0.2) = 25   Adding a negative is the same as subtracting a positive

-5y - 1 = 25   add 1 to both sides

-5y - 1 + 1 = 25 + 1

-5y = 26  Divide both sides by -5

[tex]\frac{-5y}{-5}[/tex] = [tex]\frac{26}{-5}[/tex]

y = -5 [tex]\frac{1}{5}[/tex] o r -5.02 as a decimal

Answer: To solve the equation -5(y + 0.2) = 25, we need to isolate y by performing the following steps:

Distribute the -5 to the expression inside the parenthesis:

-5 * y - 5 * 0.2 = 25

-5y - 1 = 25

Add 1 to both sides of the equation to isolate -5y on one side:

-5y - 1 + 1 = 25 + 1

-5y = 26

Divide both sides of the equation by -5 to find y:

(-5y) / -5 = 26 / -5

y = -5.2

So, the solution to the equation -5(y + 0.2) = 25 is y = -5.2.

Step-by-step explanation:

These are the four points that are exactly 5 units away from point W. To find points that are 5 units from point W, which is located at (-5, -3).

To find points that are 5 units from point W, which is located at (-5, -3), we need to find all points that are a distance of 5 units away from (-5, -3) using the Pythagorean theorem.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the distance between two points) is equal to the sum of the squares of the lengths of the other two sides

Given a point (x, y), the distance between that point and point W can be found using the formula:

distance = sqrt((x + 5)^2 + (y + 3)^2)

Setting this distance equal to 5 and solving for x and y, we get the following points:

(0, -8), (-10, -8), (0, 2), and (-10, 2).

These are the four points that are exactly 5 units away from point W.

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The missing corresponding side length of figure B is 30 meter.

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

Two figures are said to be similar if the ratio of their corresponding sides are in the same proportion.

Figures A and B are similar. Figure A has a perimeter of 72 meters and one of the side lengths is 18 meters. Figure B has a perimeter of 120 meters. Find the missing corresponding side length.

Let x represent the missing side length. Hence:

Scale factor = figure B perimeter / figure A perimeter = 120/72

Hence:

scale factor = figure B side length / figure A side length

substituting:

120/72 = x / 18

x = 30 meter

The missing side length is 30 meter.

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Answer: 168 in.

Step-by-step explanation:

Feet to inches:

14ft = 168 in.

or

12 x 14 = 168.

Answer: 4 ft 3.8 inches

Step-by-step explanation:

First I converted the measurements to inches to make it easier-

Man - 74in

Tree - 240in

Tree shadow - 168in

240/168 = 74/x

x=51.8

The areas of the scale factors 2, 3, 5, 1/2 and 2/3 are 144, 324, 900, 9 and 16 square units respectively.

The area of the right triangle = 36 square units

Scale factor of each scaled copies of the right triangles are given

Scale factor = 2

Then the area will be = Area at scale factor 1 × square of scale factor

Substitute the values in the equation

Area = 36 × 2^2

= 36 × 4

= 144 square units

Scale factor = 3

Area = 36 × 3^2

= 36 × 9

= 324 square units

Scale factor = 5

Area = 36 × 5^2

= 36 × 25

= 900 square units

Scale factor = 1/2

Area = 36 × (1/2)^2

= 36 × 1/4

= 9 square units

Scale factor = 2/3

Area = 36 × (2/3)^2

= 36 × 4/9

= 16 square units

Therefore, area of the each scale factor has been found

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The given question is incomplete, the complete question is :

A right triangle has an area of 36 square units if you draw scaled copies of this triangle using the scale factor in the table, what will the areas of these scaled copies be?

The total surface area is π[(4/3)x]² + π(4/3)x². The base area is greater than the lateral area.

An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.

Given the cone. The surface area (SA) is given by the equation:

SA = πr² + πrs

where r is the radius of the cone and s is the slant height.

Given that the slant height is x and the radius of the cone is 4/3 the slant height = (4/3)x

Hence:

SA = πr² + πrs

substituting:

SA = π[(4/3)x]² + π(4/3)x(x)

SA = π[(4/3)x]² + π(4/3)x²

The base area = π[(4/3)x]², the lateral area =  π(4/3)x²

The base area is greater than the lateral area.

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For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

[tex]C = \frac{5}{9} (F- 32)[/tex]

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

The number line for a < 3 is as shown in the figure below and we use an open circle on 3 and all the numbers to the left of 3 in the number line will be the values of a.

What is a number line?

A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point. The endpoints of this line go on forever.

We can see the values that inequality represents by placing them on a number line. On a number line, inequalities are represented by drawing a straight line and designating the endpoints with either an open or closed circle. An empty circle indicates that the value is not included. A closed circle indicates that the value is included.

Given the inequality a < 3.

This means that the value of a is less than three and does not include three.

Therefore we use an open circle on 3 and all the numbers to the left of 3 in the number line will be the values of a.

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well, if we use the vertex form of a parabola, we can pretty much see the parabolas all pretty much have a vertext at the origin, (0,0), now, let's take a look of a point they go by, Check the picture below.

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=4\\ y=4 \end{cases} \\\\\\ 4=a(4-0)^2 + 0\implies 4=16a\implies \cfrac{4}{16}=a\implies \cfrac{1}{4}=a~\hfill \boxed{y=\cfrac{1}{4}x^2}[/tex]

now let's do D

[tex]\begin{cases} h=0\\ k=0\\ \end{cases}\implies y=a(~~x-0~~)^2 + 0\hspace{4em}\textit{we also know that} \begin{cases} x=-1\\ y=-3 \end{cases} \\\\\\ -3=a(-1-0)^2+0\implies -3=a\hspace{5em}\boxed{y=-3x^2}[/tex]

Answer:

A ratio of 5 parts water to 1 part fertilizer for watering plants. This ratio ensures that the plants receive the proper amount of nutrients without being over-fertilized, which can harm their growth.

A ratio of 5 parts rest to 1 part exercise for a healthy lifestyle. This ratio helps to maintain a healthy balance between rest and physical activity, allowing for proper recovery and growth. It also ensures that a person does not over-exercise and become exhausted, which can lead to injury or burnout.

The rate of change in candies sold per month can be found by finding the slope of the line that goes through the two points (4, 2) and (6, 8). The slope of a line can be found by using the formula:

slope = (y2 - y1) / (x2 - x1)

Plugging in the values from the two points, we have:

slope = (8 - 2) / (6 - 4) = 6 / 2 = 3

So the rate of change in candies sold per month is 3. This means that the number of candies sold is increasing by 300 (3 * 100) per month. Therefore, the answer is B) 300.

The resulting sum function if x is equivalent to 2 is 18

Composite functions are known as function of a function

Given the following functions

f(x) = 3x + 5 and;

g(x) = 4x - 1.

(f+g)(x) = f(x) + g(x)

(f+g)(x) = 3x + 5 + 4x - 1

(f+g)(x) = 7x + 4

Substitute x = 2 into the result

(f+g)(2) = 7(2) + 4

(f+g)(2) = 18

Hence the value of the sum of the function when x = 2 is 18

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Not sure but i think it's 6.3.

Pythagoras theorem

a²+b²=c²

6.9 is the hypotenuse (c)

2.9 is the base (b)

a is the altitude of the wall or the height of the wall (a)

a²+2.9²=6.9²

a= 6.3