How to do this question plz answer ​

In a 2x3 ANOVA, you would have a total of 5 marginal means.

ANOVA, or Analysis of Variance, is a statistical technique used to analyze the differences among group means in a sample.

In a 2x3 ANOVA, there are two independent variables, one with 2 levels and the other with 3 levels.

The marginal means are the average scores for each level of an independent variable, collapsing across the other independent variable.

For a 2x3 ANOVA, you will have 2 marginal means for the first independent variable (2 levels) and 3 marginal means for the second independent variable (3 levels).

To calculate the total number of marginal means, simply add the marginal means for each independent variable:

2 (marginal means for the first independent variable) + 3 (marginal means for the second independent variable) = 5 marginal means in total.

So, the correct answer is (b) 5 marginal means.

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Answer: 4x² + 4xy - 3y²

Concept:

When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:

Solve:

Given

(2x - y) (2x + 3y)

Expand parentheses and apply the FOIL method

=4x² + 6xy - 2xy - 3y²

Combine like terms

=4x² + (6xy - 2xy) - 3y²

=\(\boxed{4x^2+4xy-3y^2}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

5,700

Step-by-step explanation:

Let

x = total cost of the fan

The entrepreneur incurred 20% on the cost price

Selling price = 4560

Therefore, The selling price = 80% of the total cost of the fan

4560 = 80% of x

4560 = 80/100 * x

4560 = 0.8 * x

4560 = 0.8x

x = 4560/0.8

x = 5,700

x = total cost of the fan = 5,700

The correct option is (d)

He wrote commutative instead of associative in step 2.

According to the commutative property, a mathematical principle, the product of a multiplication does not depend on the order in which the numbers are multiplied.

Commutative property:  a+b = b+a

Associative property: (a+b) + = a+(b+c)

Now consider the provided expression.

(6.2 − 1.6) − 4.4 + 7.8

Step 1:

(6.2 − 1.6) − 4.4 + 7.8

Step 2 Use Associative property

6.2 + (−1.6 − 4.4) + 7.8

Step 3: Simplify

6.2 − 6 + 7.8

Step 4: Use commutative property

14 − 6

Step 5: Simplify

14 − 6 = 8

Hence, the wrong step is step 2.

He wrote commutative instead of associative in Step 2.

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I understand that the question you are looking for is:

Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6) − 4.4 + 7.8 Step 2: 6.2 + (− 1.6 − 4.4) + 7.8 (commutative property) Step 3: 6.2 − 6 + 7.8 Step 4: −14 − 6 = 8 (commutative property) Step 5: 14 − 6 = 8

(a)-He wrote commutative instead of distributive in Step 4.

(b)-He wrote commutative instead of distributive in Step 2.

(c)-He wrote commutative instead of associative in Step 4.

(d)-He wrote commutative instead of associative in Step 2.

We can use different measures and properties of angles to determine the measures of angles in different types of polygons.

To find the measures of the angles in each figure, we need to remember the properties of angles in different types of polygons.
For the first figure, we can see that it is a trapezoid, and we know that the angles on the same side of the base of a trapezoid add up to 180 degrees. Therefore, the measures of the angles are 50, 50, 130, and 130 degrees.
For the second figure, we can see that it is a kite, and we know that the two angles between the congruent sides are equal, and the two angles between the non-congruent sides are also equal. Therefore, the measures of the angles are 50, 50, 130, and 130 degrees.
For the third figure, we can see that it is a regular hexagon, and we know that the interior angles of a regular hexagon add up to 720 degrees. Therefore, each angle measures 120 degrees.
For the fourth figure, we can see that it is a rhombus, and we know that the angles of a rhombus are equal. Therefore, each angle measures 115 degrees.
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Answer:

Variant A

Step-by-step explanation:

1)y= - 3x+1

2)y+5= - 3(x-2)

y+5= - 3x+6

y= -3x+1

They are equal

Answer:

Part b.

Step-by-step explanation:

Ok, so I think what you can do for part b. is pretty simple. You know that $820 is for 4 weeks of work. 820/4 = 205. So he gets $205 per week. If 820 = 100%, then 205*3 = 75%. So the answer would be he will recieve 75% of his usual pay, and that will be $615.

Answer:

See below

Step-by-step explanation:

6.  a. x + y = 2

4x + 4y = 8

If we rewrite both in standard slope-intercept format, we will see the issue:

y = -x + 2

4y = -4x + 8

y = -x + 2

These equations are the same.  There are an infinite number of solutions.  All points intersect.  So it does not have a real solution.  [Perhaps it has a real doozy of a solution.]

b. 3x - 2y = 4

3x - 2y =10

Rewrite both:

-2y = -3x + 4

 y = (3/2)x - 2

---

-2y = -3x + 10

 y = (3/2)x - 5

These equations are different, but they have the same slope, (3/2).  They are parallel and thus will never intersect.  There is no real solution.

c. 3x - 2y = 4

6x - 4y = 8

Rewrite both:

-2y = -3x + 4

 y = (3/2)x -2

--

-4y = -6x + 8

y = (3/2)x + 8

Same slope of (3/2).  Same answer for parallel lines.

d. 5x + 2y = 2

15x + 6y = 6

Rewrite both:

2y = -15x + 6

y = -(15/2)x + 2

---

6y = -15x + 6

y = -(15/6)x + 1

y = -(5/2)x + 1

These lines have different slopes, so they will intersect.  This system has a real solution.

=

7.  See attached graph for 7.

It's a surprise to find only one line.  But rewrite the equations in standard format to reveal why there is only one line:

3x + 5y = 5

5y = -3x + 5

y = -(3/5)x + 1

---

6x + 10y = 10

10y = -6x + 10

y = -(6/10)x + 1

y = -(3/5)x + 1

These equations are the same:  Two coinciding lines, to put it mildly.

8. I interpret "Two lines in a system of linear equation in two variable coincide" as both equations are the same.  If that is a correct interpretation, Infinite solutions.

9.  All three can be used.

10.  

a. 5x + 2y = 2

2x - 5y = 2

One solution

They have different slopes.  The first is -(5/2) and the second is (2/5).  They are actually perpendicular to each other.

b. 5x + 2y = 2

10x + 4y = 4

Rewrite the 2nd equation by dividing by 2:  5x + 2y = 2

These equations are identical.  They have an infinite number of solutions (more than 1)

c. 5x + 2y = 4

15x + 6y = 12

Rewrite the second equation:

d. 5x + 2y = 8

5x + 2y = 6​

These equations are identical.  They have an infinite number of solutions (more than 1)

a) A pulse of width 2 units, starting at t=5 and ending at t=7.

b) A sum of two pulses of width 1 unit each, one starting at t=5 and the other starting at t=7.

c) A ramp starting at t=2 and ending at t=4.

Part 2

a) A rectangular pulse of height 1, starting at t=5 and ending at t=7.

b) Two rectangular pulses of height 1, one starting at t=5 and the other starting at t=7, with a gap of 2 units between them.

c) A straight line starting at (2,0) and ending at (4,2).

In part 1, we are given three signals and asked to identify their characteristics. The first signal is a pulse of width 2 units, which means it has a duration of 2 units and starts at t=5 and ends at t=7. The second signal is a sum of two pulses of width 1 unit each, which means it has two parts, each with a duration of 1 unit, and one starts at t=5 while the other starts at t=7. The third signal is a ramp starting at t=2 and ending at t=4, which means its amplitude increases linearly from 0 to 1 over a duration of 2 units.

In part 2, we are asked to sketch the signals. The first signal can be sketched as a rectangular pulse of height 1, starting at t=5 and ending at t=7. The second signal can be sketched as two rectangular pulses of height 1, one starting at t=5 and the other starting at t=7, with a gap of 2 units between them. The third signal can be sketched as a straight line starting at (2,0) and ending at (4,2), which means its amplitude increases linearly from 0 to 2 over a duration of 2 units. It is important to note that the height or amplitude of the signals in part 2 corresponds to the value of the signal in part 1 at that particular time.

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The volume of the solid generated by revolving the region about the given line. the region in the first quadrant bounded above by the line y=2 square root 3 is \(16\pi /3 (\sqrt[]{3} - 1).\)

To find the volume of the solid generated by revolving the region in the first quadrant bounded above by the line y=2 square root 3, we need to know the axis of rotation. Assuming the axis of rotation is the x-axis, we can use the method of cylindrical shells.

The region bounded above by the line y=2 square root 3 and the x-axis is a triangle with base length 2(2/√3) and height 2√3. Thus, the area of the region is A = (1/2)(2(2/√3))(2√3) = 4.

To generate the solid, we revolve the region about the x-axis. Consider a horizontal strip of thickness dx at a distance x from the y-axis. The radius of the cylindrical shell generated by this strip is r = 2√3 - x, and the height of the shell is the same as the height of the region, h = 2√3.

The volume of the shell is given by V = 2πrhdx = 4π(2√3 - x)dx.

Integrating from x = 0 to x = 2√3, we have:

\(V = \int\limits{ { 0^(^2^\sqrt[]{3} )} 4\pi (2\sqrt[]{3} - x)}dx\)
 = \(4\pi (2\sqrt{3x} - x^2/2)|0^(^2^\sqrt{3} )\)
 = 16π/3 (√3 - 1)

Therefore, the volume of the solid generated by revolving the region about the x-axis is 16π/3 (√3 - 1).

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Answer:

Expression:

4x=12

Change each day: $3

Step-by-step explanation:

The problem tells us that Chinelo's account dropped by $12 over the last 4 days. This means that each day it dropped by $3 (12 divided by 4 = $3).

The expression 4x=12 represents that change.

Answer:

Step-by-step explanation:

Let the total chargers be y

and  let the monthly charge be x

Apartment A

y=200+400x----------1

Apartment B

y=500+350x---------2

Equating 1 and 2 to solve for x we have

200+400x=500+350x

collecting like terms

200-500=350x-400x

-300=-50x

x=300/50

x=6

Answer:

A linear function that relates y to x is:

\(y\:=\:\frac{2}{3}x\:+\:5\)

The graph of the linear function is also attached.

Step-by-step explanation:

Given the table

x          -3           0              3             6

y          3           5               7            9

The slope-intercept form of the line equation

\(y = mx+b\)

where

Taking two points (-3, 3) and (0, 5) from the table to determine the slope of the linear function

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [5 - 3] / [0 - (-3)]

                 = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the table, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

substituting m = 2/3 and b = 5 in the slope-intercept form of the line equation

\(y = mx+b\)

\(y\:=\:\frac{2}{3}x\:+\:5\)

Therefore, a linear function that relates y to x is:

\(y\:=\:\frac{2}{3}x\:+\:5\)

The graph of the linear function is also attached.

We can use the tangent function to solve for the height of the lighthouse.

Let h be the height of the lighthouse from the top of the cliff.

tan(50.5 degrees) = (h + x) / 1100

tan(48.1 degrees) = h / 1100

We can divide the first equation by the second equation to get:

(h + x) / h = tan(50.5 degrees) / tan(48.1 degrees)

then we can simplify it by cross multiplying and canceling out h

h + x = (h * tan(50.5 degrees)) / tan(48.1 degrees)

then we can substract h from both sides

x = (h * tan(50.5 degrees)) / tan(48.1 degrees) - h

then we can substitute x = 1100

1100 = (h * tan(50.5 degrees)) / tan(48.1 degrees) - h

then we can add h to both sides

1100 + h = (h * tan(50.5 degrees)) / tan(48.1 degrees)

then we can multiply both sides by tan(48.1 degrees)

1100tan(48.1 degrees) + htan(48.1 degrees) = h * tan(50.5 degrees)

then we can divide both sides by tan(48.1 degrees)

h = (1100 * tan(48.1 degrees) + h * tan(48.1 degrees)) / tan(50.5 degrees)

after substituting the values we get:

h = (1100 * tan(48.1) + h * tan(48.1)) / tan(50.5)

we can round it to the nearest tenth

h = (1100 * tan(48.1) + h * tan(48.1)) / tan(50.5)

then we can use a calculator to get the exact number

h ≈ 191.5

Therefore, the height of the lighthouse from the top of the cliff is 191.5 meters.

The power set operator, denoted as P, is a function that takes a set as its input and returns the set of all possible subsets of that set.

In other words, given a set S, the power set P(S) is the collection of all subsets that can be formed using the elements of S. The domain of the power set operator P is the set of all possible input sets. It consists of all sets that can be used as an argument for the power set function. Since sets can contain any combination of elements, the domain of P includes all possible sets with different sizes and elements.

For example, if we consider the set S = {1, 2, 3}, the power set P(S) would include the following subsets: {}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, and {1, 2, 3}. Therefore, in this case, the domain of the power set operator P would include all possible sets that can be formed using the elements of S, such as the empty set, sets with single elements, sets with two elements, and the set itself.

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Answer:

-3x^2√21x * 5x^2√3x

Step-by-step explanation:

-3x√21x^3 * 5x√3x^3

-3x^2√21x * 5x^2√3x

Answer:

1/10

Step-by-step explanation:

Take the side length of figure B and divide by the same side of figure A

This is the number we need to multiply Figure A by to get to Figure B

6/60 = 1/10

We need to multiply figure XYZ by 1/10  to get to UVW

Answer: 181.61

Step-by-step explanation:

130 x 139.7

----------------    =181.61

100

Step-by-step explanation:

First answer I hope it will help

The true statements are:

The coordinates of the shape are given as:

Start by plotting the coordinates of ABCD on the coordinate plane.

Next, connect the dots on the plane

From the connected dots, we can see that the shape formed is a square

Start by calculating the distance between adjacent points using the distance formula

\(d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}\)

So, we have:

\(AB = \sqrt{(10 -6)^2 + (-6 +9)^2} = 5\)

\(BC = \sqrt{(6 -3)^2 + (-9 +5)^2} = 5\)

\(CD = \sqrt{(3 -7)^2 + (-2 +5)^2} = 5\)

\(DA = \sqrt{(7 -10)^2 + (-2 +6)^2} = 5\)

The perimeter (P) of the shape is calculated as:

\(P = 4 \times AB\)

\(P = 4 \times 5 = 20\)

The area (A) of the shape is calculated as:

\(A =AB \times BC\)

\(A =5 \times 5 = 25\)

Hence, the perimeter and the area of the shape is 20 units, and 25 unit squares

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The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree

You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).

That is perpendicular=hypotenuse/√2

Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)

That is base=hypotenuse/√2

Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.

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Answer:

HEY IMAGE IS BLUR

Step-by-step explanation:

Answer:

-10x

Step-by-step explanation:

Answer: the answer is

(-2,0)

(0,2)

Answer:

The answer is

( -2, 0 )

(0, 2 )

Step-by-step explanation:

I just took the test and got it right

Hopefully this helps you

pls mark brainlest

Answer:  f(x)=x2 g(x)= g=y/x^3

y=x2gx

Step 1: Flip the equation.

gx3=y

Step 2: Divide both sides by x^3.

gx^3/x^3 = y/x^3

-2(x+1)2-5= −4x−9= -13

=−4x+−4+−5

Combine Like Terms:

=−4x+−4+−5

=(−4x)+(−4+−5)

=−4x+−9=

-13

Step-by-step explanation:

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The given boundary-value problem can be solved using the method of variation of parameters. the solution to the given boundary-value problem is у(x) = -e2x + 2e4x.

First, we need to find a particular solution of the homogeneous equation y" - 8y' + 16y = 0, which is yp(x) = c1e2x + c2e4x, where c1 and c2 are constants.

To find the particular solution, we can use the given boundary conditions y(0) = 1 and y(1) = 0. We solve for c1 and c2, and we get c1 = -1 and c2 = 2.

So, the particular solution is yp(x) = -e2x + 2e4x. The general solution of the boundary-value problem is then:
у(x) = c1e2x + c2e4x -e2x + 2e4x
= c1e2x + (c2 + 2)e4x.

By using the boundary conditions, we can find the value of c1 and c2:
у(0) = c1 + c2 + 2 = 1
у(1) = c1e2 + (c2 + 2)e4 = 0

Solving these two equations, we get c1 = -1 and c2 = 2.
Therefore, the solution to the given boundary-value problem is
у(x) = -e2x + 2e4x.

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Answer

$120

Explanation:

Let the total amout earned be E

The modeled equation is represented as

E(h) = 40h

Where h = number of hours

The amount earned for 3 hours will be

Let h = 3

E(3) = 40(3)

E(3) = $120

Therefore, he earned $120 for 3 hours

A sample size of 604 graduates will suffice to estimate the proportion of graduates who have not found employment in their major field one year after graduation with a margin of error of 3% at a 99% confidence level.

The z-scores for which 90% of the distribution's area lies between -z and z are (-1.645, 1.645).

To find this, we can use the standard normal distribution table to find the z-score that corresponds to a cumulative area of 0.05 (since we want the area to be split into two tails of 0.05 each), which is -1.645. The z-score for the right tail is the same value, but positive.

True. The normal density curve is symmetric about the mean. This means that the curve is evenly distributed on both sides of the mean, with half the area under the curve on either side of the mean.

Using a standard normal distribution table or a calculator, we can find the area under the standard normal curve to the left of z = 1.25 to be 0.89435.

Therefore, the area under the standard normal curve to the left of z = 1.25 is approximately 0.8944.

We can use the formula for sample size calculation for estimating a proportion with a desired margin of error:

n = (z^2 * p * (1-p)) / E^2

where z is the z-score for the desired confidence level (in this case, 2.576 for 99% confidence level), p is the estimated proportion (0.14 in this case), and E is the desired margin of error (0.03 in this case).

Substituting these values, we get:

n = (2.576^2 * 0.14 * 0.86) / 0.03^2 = 603.22

Rounding up to the nearest whole number, we get a sample size of 604. Therefore, a sample size of 604 graduates will suffice to estimate the proportion of graduates who have not found employment in their major field one year after graduation with a margin of error of 3% at a 99% confidence level.

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