which of the following assumptions for a two-way anova is false? the samples must be dependent. the groups must have the same sample size. the sample populations must be normally or approximately normally distributed. the variances of the populations must be equal.

A system of linear equations for line h and j are y = -3x/4 - 5 and y = -5x/4 + 1 respectively.

An equation for the exponential function graphed is [tex]f(x)=\frac{1}{3}^{x}[/tex]

First of all, we would determine the slope of line h as follows;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1 - 7)/(-8 + 16)

Slope (m) = -6/8

Slope (m) of line h = -3/4.

At data point (-8, 1) and a slope of -3/4, a linear equation in slope-intercept form for line h can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 1 = -3/4(x + 8)

y - 1 = -3x/4 - 6

y = -3x/4 - 5

At data point (-4, 6) and a slope of -5/4, a linear equation in slope-intercept form for line j can be calculated by using the point-slope form as follows:

y - 6 = -5/4(x + 4)

y - 6 = -5x/4 - 5

y = -5x/4 + 1

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

[tex]f(x) = a(b)^x[/tex]

Since this exponential function passes through the points (0, 1) and (-1, 3), we have:

1 = ab⁰

1 = a

3 = a(b)⁻¹

3 = 1 × (b)⁻¹

3 = 1/b

b = 1/3

Therefore, the graphed exponential function is given by;

[tex]f(x) = a(b)^x\\\\f(x) = 3^{-x}\\\\f(x)=\frac{1}{3}^{x}[/tex]

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The total volume of Tank A is approximately 120 cubic feet.

Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It is typically measured in cubic units such as cubic meters (m³) or cubic feet (ft³). The volume of an object can be calculated by multiplying its length, width, and height (or depth) together, or by using a specific formula depending on the shape of the object.

To find the total volume of Tank A, we need to add the volumes of the two sections.

The volume of the first section is 24 cubic feet.

The volume of the second section is 96 cubic feet.

So, the total volume of Tank A is;

24 + 96 = 120 cubic feet

Therefore, the total volume of Tank A will be 120 cubic feet.

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--The given question is incomplete, the complete question is

"The volume of one section of Tank A is 24 cubic feet. The volume of the other section of Tank A is 96 cubic feet. What is the total volume, in cubic feet, of Tank A?"--

Answer:

  70°

Step-by-step explanation:

You want the bearing of R from Q on the given map.

The bearing is the angle measured clockwise from north. My geometry program measures R from Q at about 70°.

__

Additional comment

Measuring the bearing on a printed copy of the map using a protractor would be an appropriate way to determine what it is. The geometric distortions involved in using computer images are not always predictable.

1. The value of angle EAG is 90⁰.

2. The value of arc BD is 90⁰.

3. The angle that is congruent to angle BAC is ∠ EAF

4. The segment that is congruent to line BD is | EG |.

The value of angle EAG is calculated as follows;

m∠EAG = m∠BAD ( congruent triangles )

m∠EAG = 90⁰

The value of arc BD is calculated as follows;

arc BD = m∠BAD (intersecting chord theorem)

arc BD =  90⁰

The angle that is congruent to angle BAC is determined as follows;

∠BAC ≅ ∠ EAF

The segment that is congruent to line BD is determined as;

| BD | ≅ | EG |

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The first step is to find out how much more food the Seniors collected than the Sophomores. We know that they collected two and a half times more, which is the same as 2.5 times 125 = 312.5 pounds of food.

Therefore, the Seniors collected 312.5 pounds of food.

The frog's speed in still water is 2.2857 miles per hour.

Let's call the frog's speed in still water "s", and the speed of the current "c".

When the frog is swimming downstream, its effective speed is the sum of its speed in still water and the speed of the current. So the distance it covers in 2 hours is:

distance = speed x time

8 = (s + c) x 2

Simplifying this equation, we get:

s + c = 4

When the frog is swimming upstream, its effective speed is the difference between its speed in still water and the speed of the current. So the distance it covers in 14 hours is:

distance = speed x time

8 = (s - c) x 14

Simplifying this equation, we get:

s - c = 0.5714

Now we have two equations with two unknowns:

s + c = 4

s - c = 0.5714

We can solve for s (the frog's speed in still water) by adding these two equations:

2s = 4.5714

s = 2.2857

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The area cleaned by the wiper blade is 418.88 square inches.

The area purged by the cleaning mechanism can be determined to possess the features of a fractional sector of a circular shape, with the circumference comprising of the addition of the longitudinal length and layer height of the wiper blade (20 inches total).

This yields a calculation of Area = (120°/360°) * π * (20 in)^2 = (1/3) * π * 400 in^2 ≈ 418.88 square inches.

The surface area is the amount of space that is covering the external parts of an object. It is a two-dimensional quantity used to quantify the outermost dimension of something.

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IF x = -2, Y = 5, and Z =3, the evaluation of the following expression X^4 - 5 + 2(x - Z)² is 61.

From the question,  we were given the  values of x = -2, Y = 5, and Z =3, wwhich is needd to be used in evaluation of the given expression [tex]X^4 - 5 + 2(x - Z)^2[/tex]. All we need to do is to substitute the values that as given in term of x,y,z so that the values  can be used in the evaluation  of  the expression so  that the  actual value can be  known.

[tex]X^4 - 5 + 2(x - Z)^2\\-2^4 - 5+2(-2-3)^2\\ \\=-2^4 - 5+2(-5)^2[/tex]

[tex]= 16 - 5 + 2(25)\\=16 - 5 + 50\\=61[/tex]

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Answer:

Step-by-step explanation:

The laptop will be worth $0.001286 after 15 years if its worth becomes 1/3 each year.

We can solve this problem by using the formula for geometric sequences,

an = a₁r^(n-1), here in this case, an is the worth of the laptop after n years, r is the rate at which the worth is changing that 1/3 in this case and a₁ is the value of the laptop currently. Substituting the given values, we get:

a₁₅ = 600(1/3)¹⁵⁻¹

a₁₅ = 600(1/3)¹⁴

a₁₅ = 600x0.0000021433

a₁₅ = 0.001286

Therefore, after 15 years, the laptop is worth approximately $0.001286.

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The diameter of the circle is 12 m. (b) is the correct option.

Comparing with the general form of the circle's equation.

Since r² = 36, the preceding equation describes a circle with a radius of 6 units and a center at (10, -12). The circle's diameter is equal to twice its radius, or:

2 × 6 = 12

Thus, the circle that the sprinkler waters has a 12-metre diameter.

Option (b) 12 m is the correct response, therefore.

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Answer:12m

Step-by-step explanation:

I took the test lolz

The solution is :

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

Each of the pairs of opposite angles made by two intersecting lines are known as vertical angles.

So, in the given figure there are two intersecting lines named as AC and EB

So, the pair of vertical angles are :

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

Thus these are the pairs of vertical angles in the given figure .

Hence  a pair of vertical angles in the figure are :

1) ∠ADB and ∠EDC

2)∠ADE and ∠BDC

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Answer:

6p-42

Step-by-step explanation:

it is in factorized form so if you want to simplify it u use distributive property over subtraction.

6p-42

The rate of change of graph is 2/5 or 0.4

We have graph from which we take two points (0, 0) and (10, 4)

So, the rate of change of graph is

= (4-0)/ (10-0)

= 4/10

= 2/5

Thus, the rate of change is 2/5 or 0.4

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Answer:the probability is 1/10

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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The value of sin X is 5/13.

The value of cos X is 12/13.

The value of cos X is 5/12.

The value of sin M is 12/13.

The value of cos X is 5/13.

The value of cos X is 12/5.

The value of the trig ratios is calculated as follows;

sin X = opposite side / hypothenuse side

sin X = 5/13

cos X = adjacent side / hypothenuse

cos X = 12/13

tan X = opposite side / adjacent side

tan X = 5/12

sin M = 12/13

cos M = 5 / 13

tan M = 12/5

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Answer:

your experience and whether or not you believe any biases were present in the survey.

When it comes to surveys, there are several factors that can influence a person's decision to participate, such as the timing and location of the survey, the perceived relevance of the questions and incentives offered for participation. In some cases, people may opt-out of participating in a survey due to privacy concerns, lack of interest or distrust of the organization conducting the survey.

In terms of biases, survey designers should be careful of different types of biases that can affect the results, such as sampling bias, selection bias and response bias. For example, if a survey is only given to certain demographics, the results may not be representative of the target audience. Similarly, if the survey questions are worded in a leading or biased way, it can influence a person's response and skew the results.

It is important for survey designers to be aware of these biases and take steps to minimize their impact. This can include using random sampling techniques to ensure a representative sample, testing survey questions with focus groups to ensure they are clear and unbiased, and providing clear and transparent information about the purpose and use of the survey data. By taking these steps, survey designers can create surveys that produce accurate and reliable results.

Answer:

People may be more likely to participate in a survey if:

1. They have a positive experience with the company or organization.

2. The survey is relevant to them and they feel their opinion is important.

3. There is some incentive, such as a discount or chance to win a prize.

4. The survey is short and easy to complete.

On the other hand, people may choose to opt-out of a survey if:

1. They don't have the time or interest in participating.

2. They don't trust the company or organization.

3. They don't want to share personal information.

4. The survey is too long or difficult to complete.

It's important for researchers to be aware of these factors to minimize bias in survey results.

Step-by-step explanation:

The equation of the line in slope-intercept form is y = - 6x + 3

The two-point form of the equation of a line is used to find the equation of a straight line that passes through two given points, (x₁, y₁) and (x₂, y₂).

The formula for the two-point form is:

          (y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Here we have

A graph that passes through (0, 3) and (1, -3)

As we know the two-point form of the equation of a line is:

              (y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)  

Take (0, 3) = (x₁, y₁) and (1, -3) = (x₂, y₂)

Substituting the values from the given points, we get:

=>  (y - 3)/(x - 0) = (-3 - 3)/(1 - 0)

=>  (y - 3)/(x) = (- 6)

=>  y - 3 = - 6x

=>  y = - 6x + 3

Therefore,

The equation of the line in slope-intercept form is y = - 6x + 3

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Answer:

5is the correct answer buddy

The value of cos x is determined as g/h.

The value of cos x is calculated by applying trigonometry identity as follows;

in trig identity tan x = sin x / cos x

From the question, the value of tan x = 6/g, and

the value of sin x = 6/h

The value of cos x is calculated by applying the trig identity of tan x as follows;

tan x = sin x / cos x

cos x = sin x / tan x

cos x = (6 / h ) / (6/g)

cos x = 6/h x g/6

cos x = g/h

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The equation that gives the annual sales is y = 17,000x - 23,000, where x is the year and x = 0 corresponds to 1982.

In mathematics, slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for every unit change in the independent variable.

Assuming that the sales of a certain appliance distributor are approximated by a linear function, we can find the equation that gives the annual sales based on the given information.

Let's first find the slope of the line, which represents the rate of change in sales per year. We can use the formula:

slope = (change in y) / (change in x)

where y represents sales and x represents the year, with x = 0 corresponding to 1982.

So, the change in y is 90,000 - 5,000 = 85,000, and the change in x is 1987 - 1982 = 5. Therefore, the slope is:

slope = (change in y) / (change in x) = 85,000 / 5 = 17,000

Now, we can use the point-slope form of the equation of a line, which is:

y - y₁ = m(x - x₁)

where m is the slope, and (x₁, y₁) is a point on the line. We can use either of the given points (1982, 5,000) or (1987, 90,000) as the point on the line. Let's use (1982, 5,000):

y - 5,000 = 17,000(x - 1982)

Simplifying and rearranging, we get:

y = 17,000x - 23,000

Therefore, the equation that gives the annual sales is y = 17,000x - 23,000, where x is the year and x = 0 correspond to 1982.

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Answer: The function is positive when x > 1 and negative when x < 1.

The function is decreasing.

Answer:

(x + 6)(x - 2)

Step-by-step explanation:

f(x) = x² + 4x - 12

consider the factors of the constant term (- 12) which sum to give the coefficient of the x- term (+ 4)

the factors are + 6 and - 2 , since

6 × - 2 = - 12 and 6 - 2 = + 4 , then

x² + 4x - 12 = (x + 6)(x - 2) ← in factored form

The value of k, in the absolute function g(x) = f(x) + k is 3.

The correct option is k = 3.

The vertex of the graph of f(x) is at (0, -1).

This means that f(0) = -1.

To make g(x) = f(x) + k, we need to add k to every y-value of the graph of f(x).

Since f(0) = -1, we want g(0) = f(0) + k = -1 + k.

Looking at the table of values for g(x), we see that g(0) = 2.

Therefore, we have:

-1 + k = 2

Solving for k, we get:

k = 3

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The equation that matches the given statement can be identified using transposition-method.

a)2 + 2y = y ⇒ Subtract 2y on both sides.

b)5(y - 4 ) = 2y ⇒ Distribute 5

c)5y = 10 - 2y  ⇒ Add 2y to both sides.

d)5 = 25y  ⇒ Divide both sides by 25

What is transposition-method?

Using the Transposition Method, one variable linear equations can be solved. There are situations when an equation's two sides have both constants and variables. In these situations, we first simplify the two sides into their simplest forms before transposing phrases containing variable on the RHS to the LHS and constant terms on the LHS to the RHS.

Given equations are:

2 + 2y = y

5(y - 4 ) = 2y

5y = 10 - 2y

5 = 25y

a)2 + 2y = y

to solve the equation in least number of steps, we need to Subtract 2y on both sides.

2+2y-2y=y-2y

2=-y

b)5(y - 4 ) = 2y

to solve the equation in least number of steps, we need to Distribute 5

5y - 40 =2y

c)5y = 10 - 2y

to solve the equation in least number of steps, we need to Add 2y to both sides.

5y+2y=10-2y+2y

7y=10

d)5 = 25y

to solve the equation in least number of steps, we need to Divide both sides by 25

5÷25 = 25y ÷25

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The approach described by the hospital marketing manager, which involves handing out patient satisfaction surveys to every 20th patient who leaves the urgent care facility for the next week, uses the "systematic sampling" method.

The hospital marketing manager's approach to having the patient coordinator hand out the patient satisfaction survey on discharge to every 20th patient who leaves the urgent care facility for the next week is an example of systematic sampling. This means that the patients are selected at regular intervals, in this case, every 20th patient, based on their coordinates in the discharge process. The approach is only valid for the specified week and may not be representative of the overall patient satisfaction levels of the hospital.

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