A political action committee sends out a questionnaire to randomly-selected mailing addresses, asking people to rate the importance of a variety of economic and social issues facing the country. At the end of the questionnaire is an (optional) invitation to donate money to the organization. Which of the following statements about this survey is true?
A) The survey results are invalid because it’s impossible to word questions about politics without creating bias.

B) The survey results are invalid because only surveys conducted by phone are free from bias.

C) The survey results will underestimate support for this political action committee in the entire population because people who respond are less likely to support an organization that asks for money.

D) The survey results will overestimate support for this political action committee in the entire population because people more likely to respond if they are prepared to donate money.

E) Since the survey was sent to randomly-selected households, it should be free of bias.

The angle measures in this problem are given as follows:

7 - m < ADC = 82º.

8 - m < ADC = 44º.

In item 7, the angle measure is found obtained the angle addition postulate, meaning that the measures are obtained as follows:

m<ADB = m < BDC + m < ADC.

Then the equation to find the value of x is obtained as follows:

144 = 7x + 34 + 9x + 46

16x = 64

x = 64/16

x = 4.

Then the angle ADC is obtained as follows:

m < ADC = 9(4) + 46 = 82º.

In item 8, the bisection means that the two angle measures are equal, hence the value of x is obtained as follows:

7x - 19 = 9x - 37

2x = 18

x = 18/2

x = 9.

m < ADC = 9(9) - 37 = 44º.

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Events A and B dependent as occurrence of one event does not affect the chances of the occurrence of the other event.

Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.

To understand this branch, it is extremely important to know its most basic definitions, such as the formula for calculating probabilities in equiprobable sample spaces, probability of the union of two events, probability of the complementary event, etc.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Since we have given that;

A be the event that a store sells all of their ground hamburger for the week

P(A)=0.75

B be the event that that the store sells all of it's steak for the week is

P(B)=0.68

The probability that the store sells all of both of the meats for the week is 0.62.

P(A|B)=0.62

but for A and B to be independent ,

P(A).P(B)= P(A and B)

0.75×0.68=0.51

but,

[tex]P(A|B) = \frac{P(AnB)}{P(B)}[/tex]

P(AnB) = 0.62 x 0.68

P(AnB) = 0.4216

So, P(A∩B) does not satisfy the condition.

Hence, A and B are not independent events.

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Answer:135.375[tex]\pi[/tex] ft³

Step-by-step explanation:

The formula for the volume of a right circular cone is [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h.

We are given height, and we can find r by dividing diameter by 2, which is 9.5 ft.

Plugging these values into the equation give us [tex]\frac{1}{3} \pi (9.5)^{2} (4.5)[/tex].

This equation equals 135.375[tex]\pi[/tex] ft³

She may sell five of them each week for $21,000. She needs to ask for $20,000 for each unit if she wants to sell six. The marginal revenue of selling the sixth motor home is -$5000. Here option A is the correct answer.

If demand is price inelastic, then raising the price will decrease income. If price increases elastic, lowering the price will boost earnings.

Demand is considered to be elastic if an increase in price results in a loss in overall income because the quantity required is significantly impacted by the price rise. Depending on whether they are requirements or wants, the marketplace. in other words, may have varying elasticities (accessories).

Thus, a fall in revenue because of a rise in price

= (20,000 - $21,000) × (5)

= -$5000

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Answer:

344

Step-by-step explanation:

6 percent of 530 is 31.8

530-31.8=498.2 or 498

6 percent of 498=29.88

498-30=468

6 percent of 468=28.08

468-28=440

6 percent of 440=26

440-26=414

6 percent of 414=24.84

414-25=389

6 percent of 389=23.34

389-23=366

6 percent of 366=21.96

366-22=344

Thus, our answer is 344

On dot plot we take no. of successes out of 10. Hence it having 0 to 10 numbering.

What is dot plots in statistics?

For relatively small data sets with values falling into a handful of discrete bins, a dot plot, also known as a dot chart, is a sort of straightforward histogram-like display used in statistics.

                       To create a dot plot, count the data points that fall into each bin and then draw a stack of dots that is that many dots high for each bin.

Because we conduct 50 trials, dot plot should have 50 points, one point per each trial.

On X axis, we take no. of successes out of 10. Hence it having 0 to 10 numbering.

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Answer:

2,144

Step-by-step explanation:

[tex]\frac{15000 - 1600}{6.25}[/tex]  The number of visitors during the time period divided by the total hours.  

2,144

Answer:

-----------------------------------

Slope-intercept form of a line:

The line has points:

The first point represents the y-intercept, b = 2.

The slope is:

The line is:

In 480 ways people can be seated in a row so that no two software engineers are together.

We have given that there are 8 people participating in a focus group, 3 of them are software engineers, 2 of them are nurses, 1 is doctor and 2 are technicians.

So the 3 software engineers can sit in 3! ways,

2 nurses can sit in 2! ways,

doctor can sit in 1! way and

2 technicians can sit in 2! ways.

We have to find that how many ways they can sit such that no two software can sit together.

So we first place 5 people in a row and software engineers has to sit between them so no two software engineers are to be sited together.

We get that in 6 places they can sit in 6C3 ways

i.e 6C3 = 20           (by formula of combination)

Therefore total ways are,

6 × 2 × 1 ×2 × 20 = 480.

Hence in 480 ways people can be seated in a row so that no two engineers are together.

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The answers to the two substituent questions are explained and given below. Options 3 and 4 are the correct answers for part A of this question and options third, fourth, fifth, and sixth are the answers for part B.

We have been asked about qualitative and quantitative variables here. Qualitative variables are those that are not defined using numbers but words. They are described by the name of whatever category they belong to. On the other hand, quantitative variables are denoted and described using numbers.

In the given question, first, we are asked what the quantitative variables are. They are # of carry-on bags and # check-in bags. So, options 3 and 4 are the correct answers for part A of this question. Then, we are asked about the qualitative variables which are gender, age, traveling to and traveling from. So, options third, fourth, fifth, and sixth are the answers for part B.

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the program with the most students over the three-year period is the Office Aide program, with a total number of 10 students participating

Junior Year Senior Year

O 3 7

M 4 6

W 5 4

The program with the most students over the three-year period is the Office Aide program, with a total of 10 students participating.

1. We can start by looking at the matrices to see how many students participated in each program.

2. For the Office Aide program, there were 3 juniors and 7 seniors, for a total of 10 students.

3. For the Media Aide program, there were 4 juniors and 6 seniors, for a total of 10 students.

4. For the Work Based Learning Program, there were 5 juniors and 4 seniors, for a total of 9 students.

5. Therefore, the program with the most students over the three-year period is the Office Aide program, with a total number of 10 students participating.

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The margin of error with a confidence interval of 0.17 to 0.97 is 0.4.

An indicator of the extent of random sampling error in survey results is the margin of error. In other words, the percentage point difference between the results and the actual population value is indicated by the margin of error. The confidence interval form is given by Confidence Interval = [lower confidence interval limit, upper confidence interval limit]. The confidence interval's total width divided by two is the margin of error.

Here, 95% confidence interval = [0.17, 0.97]. Then, the margin of error is,

[tex]\begin{aligned}\text{Margin of error (E)}&=\frac{\text{(upper confidence interval limit-lower confidence interval limit)}}{2}\\&=\frac{0.97-0.17}{2}\\&=\frac{0.8}{2}\\&=0.4\end{aligned}[/tex]

The answer is 0.4.

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Answer:

Below

Step-by-step explanation:

At  B   (  40 mins)  and  D (30 mins)   he is not moving....visiting .

The width of A is the time it took to get to first house = 20 mins

The width of C is t the time to get to second house = 60 to 70 = 10 mins

Riding toward home at C and E  ( the distance...the y-value....is getting less)

He is fastest where the line has greatest slope...where it is steepest =  C

He was away from home the width of the graph = 115 mins

If f{g(x)} = g(x) and g{f(x)} = f(x)

That means they cannot be inverse functions of one another.

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given that f(3) = 2 and g(-2) = 6.

From the expression, f⁻¹(2) = 3 and g⁻¹(6) = -2

So now we take the composition,

f{g(-2)} = f (6) = y (let)

Then f⁻¹(y) = 6 = g (-2) , which is given.

Now, f{g(-2)} = g (-2).

And similarly g{f(3)} = g (2) = k (let)

g⁻¹(k) = 2 = f (3)

Now, g{f(3)} = f (3)

Therefore, if f{g(x)} = g(x) and g{f(x)} = f(x)

That means they cannot be inverse functions of one another.

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Answer:

y value also increases

Step-by-step explanation:

As the X value (also known as the independent variable) of the equation y = 2x + 80 increases, the Y value (also known as the dependent variable) will also increase. This is because the coefficient of the X term (2) is positive, which means that for every increase in the X value, the Y value will also increase by an amount equal to twice the increase in the X value.

For example, if the X value increases from 2 to 3, the Y value will increase from 84 (which is calculated as 22 + 80) to 86 (which is calculated as 23 + 80). Similarly, if the X value increases from 3 to 4, the Y value will increase from 86 to 88, and so on.

The standard form of such an equation is Ax + By + C = 0 or Ax + By = C.

What is standard form of an equation ?

The standard form of such an equation is Ax + By + C = 0 or Ax + By = C.

If you rewrite this equation in a different way, you'll obtain y by itself on the left side, it then forms y = mx +b.

An assertion of equality between two expressions containing variables and/or numbers is called an equation.

In essence, equations are questions, and attempts to discover systematic answers to those questions have spurred the development of mathematics.

Linear equations can be written in three different ways: point-slope form, standard form, and slope-intercept form.

General Procedure:

Equation in slope intercept form has the basic structure

y = mx + b

y - mx = (mx - mx ) + b

y - mx = b

y - mx - b = b - b

y - mx - b = 0

-mx + y - b = 0−mx+y−b=0

If m is an integer, then B will equal 1.

-A/Bx + y - b = 0−

x+y−b=0

-Ax + By - Bb = 0−Ax+By−Bb=0

-Ax + By - C = 0−Ax+By−C=0

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Hence, the vectors of the length  [tex]2[/tex] making an angle of [tex]60[/tex] degree with the x-axis is [tex]P= < -\sqrt2,-1 >[/tex].

What are vectors?

A vector is a Latin word that means carrier. Vectors carry a point [tex]A[/tex] to point [tex]B[/tex]. The length of the line between the two points [tex]A[/tex] and [tex]B[/tex] is called the magnitude of the vector and the direction of the displacement of point [tex]A[/tex] to point [tex]B[/tex] is called the direction of the vector [tex]AB[/tex].

Here given that,

The vector of length [tex]2[/tex] making an angle of [tex]60[/tex] degree with the x-axis.

Given length is [tex]||P||=2[/tex]

[tex]P=||P|| < cos\theta,sin\theta > \\\\P=2 < cos(210),sin(210) > \\\\P=2 < \frac{-\sqrt3}{2},\frac{-1}{2} > \\\\P= < 2(-\frac{\sqrt3}{2}),2(-\frac{1}{2}) > \\\\P= < -\sqrt2,-1 >[/tex]

Hence, the vectors of the length  [tex]2[/tex] making an angle of [tex]60[/tex] degree with the x-axis is [tex]P= < -\sqrt2,-1 >[/tex].

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The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability of drawing an even-numbered blue marble.

= Number of even blue marble / Total number of marbles

The probability of drawing an even-numbered blue marble is 3/11.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of red marbles = 5

Number of blue marbles = 6

Number of even blue marbles = 3

Total number of marbles = 5 + 6 = 11

The probability of drawing an even-numbered blue marble.

= Number of even blue marble / Total number of marbles

= 3/11

Thus,

The probability of drawing an even-numbered blue marble is 3/11.

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The (two-way) wave equation is a second-order partial differential equation describing waves, including traveling and standing waves; the latter can be considered as linear superpositions of waves traveling in opposite directions.

This article mostly focuses on the scalar wave equation describing waves in scalars by scalar functions u = u (x1, x2, ..., xn; t) of a time variable t (a variable representing time) and one or more spatial variables x₁, x₂, ..., xₙ (variables representing a position in a space under discussion) while there are vector wave equations describing waves in vectors such as waves for electrical field, magnetic field, and magnetic vector potential and elastic waves. By comparison with vector wave equations, the scalar wave equation can be seen as a special case of the vector wave equations; in the Cartesian coordinate system, the scalar wave equation is the equation to be satisfied by each component (for each coordinate axis, such as the x-component for the x-axis) of a vector wave without sources of waves in the considered domain (i.e., a space and time). For example, in the Cartesian coordinate system, for Eₓ , Eₐ and Eₙ the representation of an electric vector field wave E in the absence of wave sources, each coordinate axis component

Ei (  i = x , a , n) must satisfy the scalar wave equation. Other scalar wave equation solutions u are for physical quantities in scalars such as pressure in a liquid or gas, or the displacement, along some specific direction, of particles of a vibrating solid away from their resting (equilibrium) positions.

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(1 , -5) satisfy the inequality y ≤ 3x + 2  but not to y > –2x – 3

According to the question,

It is Given : y ≤ 3x + 2  

y > –2x – 3

We have to find the relationship between the point (1, –5) and the given system of inequalities.

Substituting the point (1,5) in our inequality y ≤ 3x + 2  

=> x = 1

=> y ≤ 3(1) + 2  

=> y ≤  5

=> - 5 ≤ 5

Which is true

Hence point (1, –5)  satisfy y ≤ 3x + 2  

Substituting the point (1,5) in our inequality  y > –2x – 3

x = 1

=> y > -2(1) - 3

=> y > - 5

but - 5 = -5

Hence  point (1, –5)   does not satisfy y > –2x – 3

I've answered the question in general as the given question is incomplete

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The value of chi-square statistic is;

In the contingency table, "O" stands for the observed value, "E" for the predicted value, and "I" for the "ith" position.

Given,

Chi- Square test;-

A statistical technique called the chi-square test is used to compare actual outcomes with predictions. The goal of this test is to establish whether a discrepancy between observed and expected data is the result of chance or a correlation between the variables you are researching.

We have to find the value of chi- square statistic;

The chi-squared statistic is a single figure that indicates the degree to which the counts you saw deviate from the counts you would anticipate if there were no association at all in the population. If I is the "ith" position in the contingency table, "O" is the observed value, "E" is the anticipated value, and "O" is the observed value.

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Answer:

greater than

Paperclip = 3 matches

Pencil = 6 paperclips

22×3 = 66

66×3 = 198

hope you like it

The probability to choose a group of four tiles with each tile worth one point is 0.200.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Let there are total 25 tiles.

From this 20 tiles having one point each and 5 tiles having more than one point.

We have to choose a group of four tiles with each tile worth one point.

So,

probability = 4/20 = 0.200

Hence, the probability to choose a group of four tiles with each tile worth one point is 0.200.

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Answer:

reflection across the line y=x

Step-by-step explanation: the point (-2,1) would turn into (1,-2) which the other figure shows

Answer:

f(2) = -4

Step-by-step explanation:

f(x) = x²-4x

f(2) = (2)²-4(2)  ==> plugin 2 for x

f(2) = 4 - 4 * 2  ==> simplify

f(2) = 4 - 8

f(2) = -4

The number of tennis matches that she could have won before the weekend began is 0.

Before the weekend, the player had a win ratio of 0.500, which indicates that she had won exactly as many games as she had lost. Call this number x for now. She has so lost x matches in addition to the x matches she won before to the weekend.

She competes in three matches during the course of the weekend and loses one, bringing her overall win total (after the weekend) to x + 3 and her overall loss total (after the weekend) to x + 1. Consequently, her weekend victory ratio is

[tex]\frac{(x + 3)}{(x + 1)}[/tex]

= [tex]\frac{(3x + 3)}{(x + 1) }[/tex]

= [tex]\frac{3x }{x + 1 }[/tex]

= [tex]\frac{3}{\frac{1}{x+1} }[/tex]

given that this value is greater than 0.503,

Thus,

[tex]\frac{3}{\frac{1}{x+1} }[/tex] > 0.503

Simplifying,

[tex]\frac{3}{\frac{1}{x+1} }[/tex]> 0.503 - 1

= -0.497

Further,

[tex]\frac{3}{\frac{1}{x+1} }[/tex] > -0.497

[tex]\frac{3}{\frac{1}{x+1} }[/tex] is equivalent to 3x

This inequality can be written as

3x > -0.497

3x is positive, dividing on both sides by 3 we get

x > -0.497 / 3

Simplifying,

x > -0.166

The least value of x that meets this inequality is 0, as x, the number of matches won, must be a positive integer. Thus, the maximum number of games the player might have won prior to the start of the weekend is x = 0, and the response is 0.

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Answer:

164

Step-by-step explanation:

Let n be the number of matches she won, and m be the number of matches she played. Then, n/m = 1/2 and (n + 3) / (m + 4) > 0.503. By the first equation, 2n = m. Substituting m = 2n into the second equation/inequality, we get (n + 3) / (2n + 4) > 0.503. Because n cannot be negative in this context, we can multiply both sides by (2n + 4). We get n + 3 > 0.503 (2n + 4). Distributing the right-hand side, we get n + 3 > 1.006n + 2.012. Solving this inequality gives us 0.006n < 0.988, or n < 164.666667. n must be a whole number, so the greatest n you can achieve is 164.

On an actual test, you can also check using answer choices if given them. 164 gives around 0.50301, so it is 164, or cannot be determined. Then it is a 50/50 guess, and 164 is most likely the correct answer, which in this case, is the correct answer.

The forecast of soccer ball demand for the month of April is 123.

What is regression?

Regression analysis is a group of statistical procedures used in statistical modelling to determine the relationships between a dependent variable and one or more independent variables.

The main focus of regression to the mean is how data balances. In essence, it says that if a variable is extreme when measured for the first time, it will be more typical the next time.

The regression equation is Y = 98 + 2.2x, where x = 4 for April.

So the unadjusted forecast for April,

= 98 + 2.2x = 98 + (2.2 × 4) = 98 + 8.8 = 106.8

Seasonal index for April = 1.15

Adjusted forecast for April = Unadjusted forecast × seasonal index = 106.8 × 1.15 = 122.82 or rounded to 123

So the answer is 123.

Hence, the forecast of soccer ball demand for the month of April is 123.

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Complete question:

Complete question is attached below.

Answer:

A.

Step-by-step explanation:

x^2+11x+28

first get the product and sum by using

a=1

b=11

c=28

and then

p=a multiplied by c

b=11

p=28

s=11

find any number that can be multiplied by

7&4 are the numbers

(x^2+7x)+(4x+28)

x(x+7)+4(x+4)

(x+7)(x+4)