according to the set definition of ordered pair, what is (b,a)

In a 3 x 3 between subjects factorial design, there are four sources of variance.

A 3 x 3 between subjects factorial design involves two independent variables, each with three levels, and participants are randomly assigned to different combinations of these levels. In this design, the four sources of variance are as follows:

Main Effect of Variable A: This source of variance represents the overall effect of the levels of the first independent variable. It assesses whether there are significant differences between the means of the three groups created by varying levels of Variable A.

Main Effect of Variable B: This source of variance represents the overall effect of the levels of the second independent variable. It examines whether there are significant differences between the means of the three groups created by varying levels of Variable B.

Interaction Effect: This source of variance assesses whether there is an interaction between the two independent variables. It examines whether the effect of one independent variable on the dependent variable differs across the levels of the other independent variable.

It evaluates whether the combined effect of the independent variables is greater (or lesser) than the sum of their individual effects.

Error Variance: This source of variance represents the variability in the dependent variable that cannot be accounted for by the independent variables. It includes random error, individual differences, and any other uncontrolled factors that may influence the outcome.

Therefore, in a 3 x 3 between subjects factorial design, there are four sources of variance: the main effects of Variable A and Variable B, the interaction effect between the two variables, and the error variance.

Each of these sources contributes to understanding the overall pattern of results and the relationships between the variables in the design.

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Answer:

+6

Step-by-step explanation:

Step-by-step explanation:

x = number of polio vaccinations.

y = number of measles vaccinations.

in total 60 vaccinations means

x + y = 60

and remembering the doses needed per vaccination we get

4x + 2y = 184

out of the first equation we get

x = 60 - y

and we use that in the second equation

4×(60 - y) + 2y = 184

240 - 4y + 2y = 184

-2y = -56

y = 28

x = 60 - y = 60 - 28 = 32

Dr. Potter gave 32 polio and 28 measles vaccinations.

Answer:

The answer is $2.14 per pound of apples.

Step-by-step explanation:

7.29/3.4= roughly 2.14.

Answer:

is 24.786

Step-by-step explanation:

multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786

The answer will be B. The y-intercept of the graph is -6 while the slope is \(\frac{2}{3}\) as the line rises by 2 and run by 3

Answer:

Step-by-step explanation:

let distance=d

d²=4²+(2+4)²=16+36=52=4×13

d=2√13

Given: The graph of the circle shown in the image

To Determine: The equation of the given circle

Solution

The general equation of a circle given the center and the radius is as shown below

Let us determine the center and radius of the given circle as shown below

It can be observed that

Let us substitute the center and the radius into the equation

Hence, the equation of the circle is

(x + 4)² + (y - 4)² = 9

Answer:

D. She is correct; the histogram is skewed to the right because there is less data on the right side.

Step-by-step explanation:

I just did it on edge

Option D is correct. She is correct; the histogram is skewed to the right because there is fewer data on the right side.

A skewed distribution is one in which one of the two sides is biased (either left or right). It's like a mountain tilting to one side (left or right).

Like the picture, a left skewed graph has an extended tail on the left side of the main peak. A right skewed graph features an extended tail on the right side of the main peak.

She is correct; the histogram is skewed to the right because there is fewer data on the right side.

Hence, option D is correct.

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Answer:

5

Step-by-step explanation:

Answer:

5\(\frac{1}{12}\)

Step-by-step explanation:

This is the answer because:

1) We have to do 5^1/3 x 5^-1/4

2) Next, we do 5^1/3 - 1/4 which is 5^1/12

Therefore the answer is 5^1/12

Hope this helps!

The simplified value of the given expression is 5¹/₁₂

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, \(\frac{\sqrt[3]{5} }{\sqrt[4]{5} }\), we need to simplify it,

5¹/₃ / 5¹/₄

= 5⁽¹/₃-¹/₄⁾

= 5¹/₁₂

Hence, the simplified value of the given expression is 5¹/₁₂

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The solution to the initial value problem `y′+y=y², y(0)=−1/3` is `y = (-2/9e^x) + (1/3) / (1 + (2/9)e^x)`.

a) Problem 1, `xy′=y+x^2` is a non-linear differential equation since the dependent variable, `y`, is not linearly related to its derivatives, `y'`.

b) To solve Problem 1 using the method of separation of variables, follow these steps:

xy′=y+x²xy' - y

= x²

Rearranging the terms:

(y/x)' = x

=> `∫(y/x) dy

= ∫ x dx + C`y

ln |x| = (x³/3) + C₁

Multiplying by x, we get

`xy = Cx + x³/3`

The general solution is `y = C + (x²/3)`.

To solve Problem 2 using the integrating factor method, follow these steps:

y′+y=y²

To find the integrating factor, `u(x)`, multiply both sides of the equation by

`u(x)`u(x) y′ + u(x) y = u(x) y²

Notice that

`(u(x) y)' = u(x) y′ + u(x) y`.

We can rewrite the equation as:

(u(x) y)' = u(x) y²

Integrating both sides with respect to `x`, we get:

`∫ (u(x) y)' dx = ∫ u(x) y² dxu(x)

y = (1/3) u(x) y³ + C₁

Multiplying both sides of the equation by `1/u(x)`, we get:

y = (C₁/u(x)) + (1/3) y²

To find the value of `C₁`, use the initial condition,

`y(0) = -1/3`:`-1/3

= (C₁/u(0)) - 1/9

=> C₁/u(0)

= -2/9

=> C₁

= -2/9 u(0)`

Substituting `C₁` into the equation, we get:

y = (-2/9u(x)) + (1/3) y²

Hence, the solution to the initial value problem `y′+y=y², y(0)=−1/3` is `y = (-2/9e^x) + (1/3) / (1 + (2/9)e^x)`.

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Answer:

Reduce each side by 1/3, 9m would be 3m, 12m would be 4m, 15m would be 5m.

Step-by-step explanation:

To make a triangle a fraction smaller (such as 1/3, 1/4, or 1/6) just multiply the sides by the fraction. To make a triangle a fraction bigger, multiply it by the sides but then add the solution to the original triangle to get a triangle a fraction bigger.

Answer: Your new triangle would have the side lengths 3 m, 4 m, and 5 m.

Step-by-step explanation:

To make a triangle 1/3 as long as the original, you can multiply each side length by 1/3 (or simply divide each side by 3) to get the new side lengths.

9 ÷ 3 = 3

12 ÷ 3 = 4

15 ÷ 3 = 5

Therefore, the new triangle would have side lengths of 3 m, 4 m, and 5 m.

I hope this helps! I attached a drawing of the triangle for reference c:

Answer: A

Step-by-step explanation:

Divide top and bottom by 4

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

The simplest form of the fraction is simply finding a common number to divide both the numerator and denominator by.

4/8 , we can divide both sides by 4 since it's possible to do so.

\(\frac{4/4}{8/4}\)

[\(\frac{1}{2}\)]

A. is the simplest form

Answer: We on da same question i do not know

Step-by-step explanation:

The given equation is 6y^2 - 8x + 12y + 7 = 0. Express this equation in the standard form of a conic section and identify the conic. Also, find the center, focus or foci, and any vertices as appropriate. Express the equation in the standard form of a conic section.

To express the given equation in the standard form of a conic section, we need to complete the square for x and y terms respectively.6y² + 12y + (-8x + 7) = 0or6(y² + 2y) + (-8x + 7) = 0We want to complete the square in y, so we should add and equation (2/2)² = 1 from the first group of terms6(y² + 2y + 1 - 1) + (-8x + 7) = 0Simplify this equation6(y + 1)² - 6 + (-8x + 7) = 0or6(y + 1)² = 8x - 1This is the standard form of a conic section that is a parabola. Identify the conic The equation 6(y + 1)² = 8x - 1 is a standard form of a conic section that is a parabola. Find the vertex and axis of symmetry.

The coordinates of the focus can be found using the formula (p/2, k), where p is the distance from the vertex to the focus, which is equal to the distance from the vertex to the directrix. Since this is a parabola with a horizontal axis, the directrix is a vertical line x = 8/6 = 4/3, which is also the axis of symmetry of the parabola. Therefore, the focus has coordinates (p/2, k) = (5/6, -1.5).The distance from the vertex to the focus is p = 1/4, so the directrix has equation x = -1/3, which is the line that is the same distance from the vertex as the focus.The coordinates of any other point on the parabola can be found by using the standard equation 6(y + 1)² = 8x - 1 to solve for y in terms of x or x in terms of y.

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P=2l+2w

l+w equals half of the perimeter

220/2=110

the ratio of the length to the width is 7:3

7x+3x=110

10x=110

x=11

7*11=77 for the length

3*11=33 for the width

A=l*w

A=77*33

A=2541 square inches for the area

maybe you are getting the formula mixed up ?!?!

\(\text {Hello! Let's Solve this Problem!}\)

\(\text {To Solve this problem we must know that Multiplying a Negative to a Negative}\) \(\text {will equal a positive.}\)

\(\text {\underline {Multiply}}\)

\(\text {-3*-5=}\)

\(\text {Your Answer Would Be:}\)

\(\fbox {15}\)

\(\text {Best of Luck!}\)

\(\text {Also just remember when it comes to problems like these, think if it as 2 positive}\) \(\text {numbers. So really it's just 3*5}\)

Answer:

\(\dfrac{364}{27}\)

Step-by-step explanation:

A geometric sequence has a constant ratio (multiplier) between each term, so each term is multiplied by the same number, whereas an arithmetic sequence has a constant difference between each term, so the difference between each term is the same.

Given series:

As each term of the given sequence is a third of the previous term, the given series is a geometric series. This means the common ratio (r) is 1/3.

From inspection of the given series, the first term (a) is 9.

To find the value of n for the nth term 1/27, simply divide each term by 3:

\(a_1=9\)

\(a_2=\dfrac{a_1}{3}=\dfrac{9}{3}=3\)

\(a_3=\dfrac{a_2}{3}=\dfrac{3}{3}=1\)

\(a_4=\dfrac{a_3}{3}=\dfrac{1}{3}\)

\(a_5=\dfrac{a_4}{3}=\dfrac{\frac{1}{3}}{3}=\dfrac{1}{9}\)

\(a_6=\dfrac{a_5}{3}=\dfrac{\frac{1}{9}}{3}=\dfrac{1}{27}\)

Therefore, as the 6th term in the sequence is 1/27, we need to find the sum of the series of the first 6 terms. To do this, use the geometric series formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

The given values are:

Substitute these values into the formula to find the sum of the first 6 terms:

\(\implies S_n=\dfrac{a(1-r^n)}{1-r}\)

\(\implies S_6=\dfrac{9\left(1-\frac{1}{3}^6\right)}{1-\frac{1}{3}}\)

\(\implies S_6=\dfrac{9\left(1-\frac{1}{729}\right)}{\frac{2}{3}}\)

\(\implies S_6=\dfrac{9\left(\frac{728}{729}\right)}{\frac{2}{3}}\)

\(\implies S_6=\dfrac{\frac{728}{81}}{\frac{2}{3}}\)

\(\implies S_6=\dfrac{728}{81} \cdot \dfrac{3}{2}\)

\(\implies S_6=\dfrac{2184}{162}\)

\(\implies S_6=\dfrac{364}{27}\)

\(\hrulefill\)

As there are only 6 terms to sum, an alternative method would be to simply add the 6 terms:

\(\implies S_6=9+3+1+\dfrac{1}{3}+\dfrac{1}{9}+\dfrac{1}{27}\)

Rewrite all the numbers so that they are fractions with the same denominator of 27:

\(\implies S_6=\dfrac{243}{27}+\dfrac{81}{27}+\dfrac{27}{27}+\dfrac{9}{27}+\dfrac{3}{27}+\dfrac{1}{27}\)

As the denominators are the same, simply add the numerators:

\(\implies S_6=\dfrac{243+81+27+9+3+1}{27}=\dfrac{364}{27}\)

r is the position vector, x is the x-position coordinate and y is the y-position coordinate.

The equation below shows the mathematical representation for a 2D position vector, expressed in Cartesian format:

r = <x, y>

r is the position vector.

x is the x-position coordinate.

y is the y-position coordinate.

So, the correct matching for each term in the equation is:

Term Description

r Position vector

x x-position coordinate

y y-position coordinate

The position vector is a vector that represents the location of a point in space. It is a two-dimensional vector, so it has two components: the x-position coordinate and the y-position coordinate. The x-position coordinate is the distance of the point from the origin along the x-axis, and the y-position coordinate is the distance of the point from the origin along the y-axis.

The equation above shows how to represent a position vector in Cartesian format. The Cartesian format is a way of representing vectors using coordinates. In Cartesian format, a vector is represented as a pair of numbers, where the first number is the x-component and the second number is the y-component.

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Correct Question :

The equation below shows the mathematical representation for a 2D position vector, expressed in Cartesian format. Match each term in the equation with the correct description from this list:

y-position coordinate

x-position coordinate

position vector

Equation :    (a)   (b) (c)

                    |     |     |

                    r=<x,   y>

Answer:

Theta = 37.9 degrees

AC = 11.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan theta = 7/9

tan ^ -1 tan theta = tan ^-1 (7/9)

theta =37.87498

To 1 decimal place

Theta = 37.9 degrees

We use the Pythagorean theorem to find AC

a^2 + b^2 = c^2

7^2 + 9^2 = AC^2

49+81 = AC^2

130 = AC^2

Taking the square root of each side

sqrt(130) = sqrt(AC^2)

AC = 11.40175

Rounding to 1 decimal place

AC = 11.4

Since 2 is not in this range, we can conclude that there is evidence against the hypothesis that Psi (theta) = 2.

Given a 0.95-confidence interval for a characteristic Psi (theta) is given by (1.23, 2.45). We are then asked if there is any evidence against the hypothesis H0: Psi (theta) = 2, the conclusion and reasoning are as follows: Conclusion: There is evidence against the hypothesis H0: Psi (theta) = 2.Justification:We know that the confidence interval is given by (1.23, 2.45), which means that if the true value of Psi (theta) is 2, then we would expect the confidence interval to contain the value 2. However, since the confidence interval does not contain the value 2, we have evidence against the hypothesis that Psi (theta) = 2. This is because the confidence interval represents the range of values that we are reasonably certain the true value of Psi (theta) falls within.

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To determine if there is evidence against the hypothesis \(H_0: \Psi (\theta) = 2\), we need to check if the hypothesized value of 2 falls within the given 0.95-confidence interval (1.23, 2.45).

Since the hypothesized value of 2 lies within the confidence interval, we can conclude that there is no evidence against the hypothesis \(H_0: \Psi (\theta) = 2\). In other words, the data supports the hypothesis that the characteristic \(\Psi\) is equal to 2.

The confidence interval (1.23, 2.45) suggests that we can be 95% confident that the true value of the characteristic \(\Psi\) falls within this interval. Since the hypothesized value of 2 falls within this interval, it is consistent with the data, and we do not have sufficient evidence to reject the hypothesis \(H_0: \Psi (\theta) = 2\).

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Answer:

please what is equaling to

180° rotation rule  (x, y) → (–x, –y)..

Triangle XYZ is rotated to create the image triangle X'Y'Z'. On a coordinate plane, 2 triangles are shown.

The first triangle has points X (-5, 3), Y (-2, 3), Z (2, 1).

The second triangle has points X prime (5, - 1), Y prime (5, - 4), Z prime

(3, - 4).

Here the sign of both coordinates has been changed but the magnitude remains same.

So, the rule is  (x, y) → (–x, –y)  which is for 180° rotation.

Hence, the  180° rotation rule  (x, y) → (–x, –y).

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To find the probability that Steve answers between 4 and 8 questions correctly, we can use the binomial distribution formula. The probability that Steve answers between 4 and 8 questions correctly (inclusive) is approximately 0.9231 or 92.31%.

To find the probability that Steve answers between 4 and 8 questions correctly, we can use the binomial distribution formula:

P(k successes out of n trials) = (n choose k) * p^k * (1-p)^(n-k)

where:
- n is the total number of trials (20 in this case)
- k is the number of successes we want to find (between 4 and 8 inclusive)
- p is the probability of success on a single trial (1/5, since there are 5 answer choices and only 1 is correct)

To find the probability that Steve answers exactly k questions correctly, we can plug in the values and simplify:

P(4 successes) = (20 choose 4) * (1/5)^4 * (4/5)^16 = 0.221

P(5 successes) = (20 choose 5) * (1/5)^5 * (4/5)^15 = 0.202

P(6 successes) = (20 choose 6) * (1/5)^6 * (4/5)^14 = 0.155

P(7 successes) = (20 choose 7) * (1/5)^7 * (4/5)^13 = 0.090

P(8 successes) = (20 choose 8) * (1/5)^8 * (4/5)^12 = 0.038

To find the probability that Steve answers between 4 and 8 questions correctly (inclusive), we need to add up these probabilities:

P(4 to 8 successes) = P(4) + P(5) + P(6) + P(7) + P(8)
= 0.221 + 0.202 + 0.155 + 0.090 + 0.038
= 0.706

Therefore, the probability that Steve answers between 4 and 8 (inclusive) questions correctly is approximately 0.706, or 70.6%.
To find the probability that Steve answers between 4 and 8 questions correctly (inclusive), we can use the binomial probability formula:

P(X=k) = (nCk) * (p^k) * (1-p)^(n-k)

where n = number of questions (20), k = number of correct answers (between 4 and 8), p = probability of guessing correctly (1/5), and nCk = number of combinations of choosing k correct answers from n questions.

First, calculate the probabilities for each value of k between 4 and 8:

P(X=4) = (20C4) * (1/5)^4 * (4/5)^16
P(X=5) = (20C5) * (1/5)^5 * (4/5)^15
P(X=6) = (20C6) * (1/5)^6 * (4/5)^14
P(X=7) = (20C7) * (1/5)^7 * (4/5)^13
P(X=8) = (20C8) * (1/5)^8 * (4/5)^12

Next, sum these probabilities to find the overall probability:

P(4≤X≤8) = P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8)

Compute the values and sum them:

P(4≤X≤8) ≈ 0.2182 + 0.2830 + 0.2363 + 0.1326 + 0.0530

P(4≤X≤8) ≈ 0.9231

Therefore, the probability that Steve answers between 4 and 8 questions correctly (inclusive) is approximately 0.9231 or 92.31%.

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There are 10 x 9 x 8 x 3 ways that the swimmers could finish the race so that first place wins a trophy and second place wins a certificate. This is equivalent to 2,160 ways.  

a) There are ten swimmers, so there are ten different ways that the first place could be won. Once that swimmer has been decided, there are nine remaining ways to win second place.

Once second place has been decided, there are eight remaining ways to win third place, and so on. Therefore, there are 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ways to finish the meet.

This is equivalent to 10! ways to finish the meet. This number is approximately 3,628,800 ways.

b) Once the top four have been decided, there are 6 remaining swimmers. Since order doesn't matter, the number of ways to choose 6 people from 6 is 1. There is only one way to choose all six. Therefore, there is only one way to choose the remaining six people to compete.

c) Once again, there are 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 ways to finish the meet. This is equivalent to 10! ways to finish the meet. There are 10 ways to choose first place, and once first place has been decided, there are 9 ways to choose second place.

Therefore, there are 10 x 9 ways that the first and second places could finish. Once the first and second places have been decided, there are eight remaining ways to win third place.

Since there are only three people left, there are only three possible ways that the remaining three swimmers could finish the race.

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The equivalent equations are first i.e 52 = 8n + 4, second i.e. 4(2n + 1) = 52 and third equation i.e. 4 = 52 – 8n.

What are equivalent equations?

Equations in algebra are said to be equivalent if their solutions or roots are equal. When the same amount or expression is added to or removed from both sides of an equation, the result is the same. A non-zero equation can be made similar by multiplying or dividing both sides by the same value.

We are given different equations. In order to find equivalent equations, we will simplify each equation.

A. 52 = 8n + 4

B. 4(2n + 1) = 52

⇒ 8n + 4 = 52

This is same as the first.

C. 4 = 52 – 8n

⇒ 4 + 8n = 52

This is same as the first.

D. 4n = 48

This is not same as the first.

Hence, the equivalent equations are first, second and third equation.

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Answer:

yes , 6,700is 1/10of 67,000

Yes, if you were to multiply 6,700 by 10, it would equal 67,000, meaning 6,700 is 1/10 of 67,000

In point-slope form, the equation for line that passes through (-3 , -8) and slope -5 is :

y + 5x = -23.

Given a line with the coordinates (-3, -8) and a slope of m = -5.

For the line, we must find an equation in point slope form.

(y - y1 ) = m(x - x1) is the point slope form of a line.

According to the question,

(m) slope = - 5

And the line goes through (x1 , y1) = ( -3 , -8 )

Therefore( y - y1 ) = m ( x - x1)

y + 8 = -5 ( x + 3 )

y + 8 = -5x - 15

y + 5x = - 23

Therefore the equation for line in point-slope form is y + 5x = -23.

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Answer:

B

Step-by-step explanation:

The problem is simple because they use powers of 10. When something is multiplied by a power of ten, it is essentially moving the decimal point over for every power.

9.46x10^12= 9460000000000

4.0x10^13= 40000000000000

Although 4 itself is less than 9.46, since is is being multiplied by 10^13, it will be one decimal place bigger.