A researcher conducts two studies. Study 1 uses a one-way between-subjects ANOVA. and Study 2 uses a within-subjects ANOVA. If the number of groups and participants per group are the same in each study, then in which study was the total number of participants larger? Explain.

With the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects.

Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Venn diagrams are useful for showing how two concepts are related and different visually.

When two or more objects have overlapping attributes, a Venn diagram offers a simple way to illustrate the relationships between them.

Venn diagrams are frequently used in reports and presentations because they make it simpler to visualize data.

So, we need to find:

A ∪ B

Now, calculate as follows:

The collection of all objects found in either the Blue or Green circles, or both, is known as A B. Its components number is:

8 + 7 + 14 + 6 + 1 + 8 = 44

n(A∪B) = 44

Therefore, with the help of the given Venn diagram, the answer of n(A∪B) is 44 respectively.

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Answer:

is part 1 and part 3 the same, no

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

Answer:

-∞,∞

Step-by-step explanation:

I’m not sure how to Explain it but I could try if you need me to so just let me know if you need the steps and i‘ll give them to you the best i can.

hope this helps!!!!! Sorry if it doesn’t.

Answer:

Step-by-step explanation:

Answer: lol she was lowkey trying to call out the lady in front of you without directly addressing her. Or she was just trying to mess with you cuz that's how moms are

Step-by-step explanation:

The solution to the radical expression 6 root 6 plus 5 root 6 is 11√6

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

6 root 6 plus 5 root 6

Rewrite the above expression using mathematical operators and mathematical symbols

So, we have the following representation

6√6 + 5√6

The terms of the above expression are radical expressions

The radicand in the terms is √6

Since both expression have the same radicand, then it means that we can add the terms

So, we have the following representation

6√6 + 5√6

Evaluate the sum

So, we have the following representation

6√6 + 5√6 = 11√6

Hence, the solution is 11√6

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Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

\(\frac{3+/-i\sqrt{55} }{2}\)

Step-by-step explanation:

\(x^2-3x=16\)

Subtract 16 from both sides;

\(x^2-3x-16=0\)

\(\frac{-(-3)+/-\sqrt{(-3^2)-4(-16)} }{2}=\frac{3+/-\sqrt{9-64} }{2}=\frac{3+/-\sqrt{-55} }{2}=\frac{3+/-\sqrt{55i^2} }{2} =\frac{3+/-i\sqrt{55} }{2}\)

Answer:

(-18, 9)

Step-by-step explanation:

If a coordinate A(x,y) is dilated by a factor of k, the new coordinates will be expressed as;

A' = (kx, ky)

A' = A (kx, ky)

Given the following

k = 1/3

A' = (-6, 3)

Substitute

(-6, 3) = 1/3(x, y)

Cross multiply

3(-6, 3) = (x, y)

(x, y) = (3(-6), 3(3))

(x, y) = (-18, 9)

Hence the coordinate prior to dilation is (-18, 9)

A line plot for length of time in seconds to say the alphabet by each student is shown in the image attached below.

A line plot can be defined as a type of graph that is used to graphically represent a data set above a number line, especially by using crosses, dots, or any other mathematical symbol.

In this exercise, you'll define a number line with numerical values ranging from zero (0) to eight (8) since the greatest length of time in seconds is 7.5 seconds.

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The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Answer:

try your best

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Paul performed an enlargement or dilation Transformation on the original segment to obtain the image segment.

To determine the type of transformation Paul performed, we can analyze how the coordinates of the points changed from the original segment to the image segment.

The original segment has two points: (3, 6) and (-4, 8). The image segment as two points: (9, 18) and (-12, 24).

Let's calculate the changes in the x-coordinates and y-coordinates separately:

For the x-coordinates:

- The x-coordinate of the first point changed from 3 to 9. This is an increase of 6.

- The x-coordinate of the second point changed from -4 to -12. This is also an increase of 8.

For the y-coordinates:

- The y-coordinate of the first point changed from 6 to 18. This is an increase of 12.

- The y-coordinate of the second point changed from 8 to 24. This is also an increase of 16.

From the changes observed, we can conclude that both the x-coordinates and y-coordinates increased by the same scale factor. This indicates a dilation or enlargement transformation.

Additionally, since the scale factor is greater than 1 (the coordinates increased), it suggests that the dilation was an enlargement.

Therefore, Paul performed an enlargement or dilation transformation on the original segment to obtain the image segment.

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The area of rectangle in the simplest Form is: \(= 45\)

What is the area of a rectangle?

The area of a rectangle of length (L) and width (W) is given by the multiplication of the dimensions, as follows:

Area of rectangle = Length (L) * Width (W)

Given:

Area of rectangle =\(\sqrt{15*9*5*3}\)

                              ⇒\(\sqrt{3*5*3*3*5*3}\)

                              ⇒3*5*3

                              ⇒45

Therefore, the area of rectangle in the simplest Form is: 45

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To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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The proof of ΔRUV ≅ ΔSUT is shown below.

Given that:

RSTV is a rectangle and U is the midpoint of VT.

Here, We have to Prove:

⇒ ΔRUV ≅ ΔSUT

Now, We can prove as;

Statement                               Reason

1) RSTV is a rectangle               Given

2) Angle V and T are                Because every angle in a rectangle is 90

right triangle.

3) ∠V ≅ ∠T                               Because both are right angle.

4) U is the midpoint of VT.        Given

5) VU = UT                                By midpoint theorem.

6) VR ≅ TS                                Opposite sides of rectangle.

7) ΔRUV ≅ ΔSUT                       By SAS congruency theorem.

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Answer:

\(F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520\)

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have \(n_1 -1 =10-1=9\) and for the denominator we have \(n_2 -1 =20-1=19\) and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

\(p_v =P(F_{9,19}>2.520)=0.043\)

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.

Step-by-step explanation:

Information given

\(n_1 = 10 \) represent the sampe size old

\(n_2 =20\) represent the sample size new

\(s_1 = 0.2\) represent the sample deviation for old

\(s_2 = 0.126\) represent the sample deviation for new

The statistic is given by:

\(F=\frac{s^2_1}{s^2_2}\)

Hypothesis to test

We want to test if the new process is less variable than the old, so the system of hypothesis are:

H0: \( \sigma^2_1 \leq \sigma^2_2\)

H1: \( \sigma^2_1 >\sigma^2_2\)

The statistic is given by:

\(F=\frac{s^2_1}{s^2_2}=\frac{0.2^2}{0.126^2}=2.520\)

Now we can calculate the p value but first we need to calculate the degrees of freedom for the statistic. For the numerator we have \(n_1 -1 =10-1=9\) and for the denominator we have \(n_2 -1 =20-1=19\) and the F statistic have 9 degrees of freedom for the numerator and 19 for the denominator. And the P value is given by:

Now we can calculate the p value with this probability:

\(p_v =P(F_{9,19}>2.520)=0.043\)

Using a significance level of 5% we see that the p value is lower than this value and we have enough evidence to reject the null hypothesis and we can conclude that the variation for the new process is lower than the new one.

By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).

In this system we have a geometrical system formed by two right triangles with a common hypotenuse. Right triangles are triangles where one of its internal angles are right angles and the sum of the measures of the internal angles within a triangle equals 180°. Then, this geometrical system can be modelled by using the following linear equations:

(x + 20) + 90 + 30 = 180         (1)

20 + 90 + (y + 30) = 180         (2)

By using the concept of internal angles of a triangle, the solution of the system of linear equations related to the geometrical system is (x, y) = (40, 40).

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9514 1404 393

Answer:

  (f/g)(x) = 1/(2x)

  x ≠ 1/2

Step-by-step explanation:

  \((f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{6x-3}{12x^2-6x}=\dfrac{6x-3}{2x(6x-3)}\\\\\boxed{(f/g)(x)=\dfrac{1}{2x}}\quad x\ne\dfrac{1}{2}\)

The domain restriction x ≠ 1/2 comes from the requirement to prevent the denominator factor 6x-3 from being zero.

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

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Answer:

48

Step-by-step explanation:

The consecutive numbers will be x and x + 1. Then write out the equation 2x + 1 = 99

Collect like terms

2x = 99 - 1

2x= 98

divide both sides by 2

x = 49

Answer:

49,50

Step-by-step explanation:

N+N+1=99   add the N's together

2N+1=99      subtract 1 from both sides

2N=98         divide 2 by 98

N=49           add the 1 from before

49+1=50

49,50 are the consecutive integers

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).

Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.

In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.

By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.

Therefore, the relationship between investments and productivity is that investments can help improve productivity.

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Answer:

y = 102*x

Step-by-step explanation:

y=a*x

x: distance

y: calories

816=a*8

a= 816/8= 102

Answer:

2.7 L

Step-by-step explanation:

400 mL = .4 L

800 mL = .8 L

1,500 mL = 1.5 L

.4 + .8 + 1.5 = 2.7 L

Answer:

f(-1) = 2

Step-by-step explanation:

Hey there!

To find f(-1), we have to look at the x value of -1, and draw a vertical line. All of the points of intersection of the graph and the vertical line are your answers.

In this graph, the line touches point (-1,2), but we just want the y-value

f(-1) = 2

-Chetan K

Answer:

1. T( 6,0)

2. Reflection

Step by step explanation:

You need:

1. Translation rule

2. A line to reflect over

let's see how only point A changes and we will know the complete figure.

First we translate A 6 units to the rigth

T(6,0)

Then we reflect the figure by a line, so you should look for an axis in which the two figures have the same distance.

In this case, will be this.

Answer:

2)D

1)B

Step-by-step explanation:

2) The angles shown are supplementary, which means that they add up to 180.

1) They are congruent, the one which you selected is right.