a polling agency is investigating the voter support for a ballot measure in an upcoming city election. the agency will select a random sample of 500 voters from one region, region a, of the city. assume that the population proportion of voters who would support the ballot measure in region a is 0.47.

Answer:

C=5Q

Step-by-step explanation:

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z or blackboard bold \mathbb {Z}.

Book 2 with 4 kg weight has the higher gravitational pull and the  pull decreases with increase in distance.

In Physics, the gravitational force is one of the types of forces. It is a force that attracts any two objects with mass. The gravitational force is also known as the attractive force, as it always pulls the masses of two objects together. Newton’s gravitational law states that every object in the universe is pulled by other objects. The other types of forces are electromagnetic force, strong force, weak force, and so on. The formula to calculate the gravitational force is given by Gravitational Force = (Gravitational Constant × Mass of first object × Mass of the second object) / (Distance between the centre of two bodies)².

Given here:

Book 1 has 2 kg textbook and Book 2 weighs 4 kg.

In the first case The gravitational pull when they were 2 cm apart is

F₁=    Gm₁m₂  / 2cm

  =0.00000133486 N

While if the two books are 8 cm apart we have

F₂= Gm₁m₂  / 8

  =0.0000000834288 N

clearly the gravitational pull decreases with the increase in distance.

And owing to Book 2's higher weight it has the superior gravitational pull.

Hence, Book 2 with 4 kg weight has the higher gravitational pull and the  pull decreases with increase in distance.

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In the diagram which shows right triangular prism UVWXYZ, the volume of UVWXYZ can be expressed in  nearest tenth as 750 cm^3.

The concept that will be used here is volume. In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3

√ (12.5^2 -7.5^2) =10 cm

The volume can be calculated as : (1/2 * 7.5 * 10 *20

=750 cm^3

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Answer:

4 candy boxes

Step-by-step explanation:

2$ one candy box

then 20-12=8 then

left 8$ now,2$=1 candy box 8$=8÷2

Ans will be 4

Answer:

2c + 12 = 20. Simplified to 2c = 8

Step-by-step explanation:

We can start with a Template

Y = Xc + C

Y being the total

X being candy price

c bring candy boxes, as stated

C being ticket price

Plugging those in we get

20 = 2c + 12

Since you bought the ticket with your $20, we can subtract the ticket price from both sides, giving you

8 = 2c or 2c = 8

The probability of drawing a white chip first and a blue chip second is 1/5.

To find the probability of drawing a white chip first and a blue chip second, we can use the formula for conditional probability.

Conditional probability is the probability of an event occurring given that another event has already occurred. It is represented by the notation P(A|B), where A is the event of interest and B is the event that has already occurred.

The formula for conditional probability is:

P(A|B) = P(A and B) / P(B)

This formula expresses the probability of event A occurring given that event B has occurred, as a ratio of the probability of the two events occurring together and the probability of event B occurring alone.

Where A is the event of drawing a white chip first and B is the event of drawing a blue chip second.

We know that the probability of drawing a white chip first is 3/10 (since there are 3 white chips out of a total of 10 chips in the bowl), so P(A) = 3/10.

Once a white chip has been drawn, there are 9 chips left in the bowl, with 6 of them being blue. This means that the probability of drawing a blue chip second given that a white chip has already been drawn is 6/9, so P(B|A) = 6/9.

By multiplying these two probabilities together, we get:

P(A and B) = (3/10) * (6/9) = (3/10) * (2/3) = 6/30 = 1/5

Therefore, the probability of drawing a white chip first and a blue chip second is 1/5.

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The analysis of the data in the table, which is a linear relationship between the pages Jake reads to the number of days is as  follows;

1. Please find attached the graph of the data in the table created with MS Excel

a. The variable x represents the number of days Jake reads the book

b. The variable y represents the number of pages Jake reads

c. The slope is the rate of change of the pages Jake reads to the number of days he has been reading the book

d. The slope is 27 pages per day

A linear relationship is a relationship that has a straight line graph when plotted on the coordinate plane.

1. The data in the table are presented as follows;

Days[tex]{}[/tex]             Pages Read

0[tex]{}[/tex]                   0

2[tex]{}[/tex]                   54

4[tex]{}[/tex]                   108

6[tex]{}[/tex]                   162

8[tex]{}[/tex]                   216

Please find attached the graph created with the above data in the table for the Days and the number of Pages Jake read, created with MS Excel.

a. The input variable is normally represented by x, while the output variable is normally represented by y.

The input variable, which is the variable that determines or indicates the number of pages Jake reads is the number of days, therefore;

The value of x represents the number of days

b. The output variable obtained from the input variable which is the number of days is the number of books Jake reads, therefore;

The output variable, y, represents the number of books Jake reads

c. The slope is the rate of change of the number of pages Jake reads per unit time. Therefore, the slope represents the number of pages Jake reads per day.

d. The graph of the data in the table indicates that the relationship is a straight line relationship,the slope can therefore be obtained using two points as follows;

Slope, m = (108 - 0)/(4 - 0) = 27

The slope of the line is 27 pages per day

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Answer:

360

Step-by-step explanation:

0.06x6000=360 also that 6% equal 6/100 wich is 0.06

Randy's cake situation will be better solved in the following manner:

a) If the area of a round cake and a square cake are different then the quarter portion will be different.

b) Though as a concept 1/4 + 1/4 = 2/4, it is not actually true in this case. If the area of different cakes are different then the quarters will also be different.

Measuring a particular region or patch of a figure is its area. Area is significant in contemporary mathematics. Area is crucial in geometry and calculus, but it also plays a role in the definition of determinants in linear algebra and is a fundamental characteristic of surfaces in differential geometry.

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Part A) According to the the scatter plot r = 0.01 is not an accurate value for this data

Part B) We have to describe a scenery where a variable is the cause of the number of strawberries picked.

The term scatter plot in math is known as  a horizontal and a vertical axis in the attempt to show how much one variable is affected by another

As we all know that the correlation coefficients r and it measure the strength of the correlation of two variables and they can have values from - 1 to  1.

Here we have know that r = - 1 is  a perfect negative correlation and the points will adjust perfectly to a line with negative slope.

Where as r =  + 1 is a perfect positive correlation and the points will adjust perfectly to a line with positive slope.

Where as r = 0 means that the variables are not correlated at all.

Hence the calculated value of r = 0.01 is not accurate for t his scatter plot.

As we all know that the causal relationship means that the explanatory variable is the cause of the dependent variable.

Therefore here we know we have to find a reasonable variable that can be the cause of the number of strawberries picked.

As the amount of rainfall is the cause of the number of strawberries picked, and you could find a model that relates both variables.

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The required table would be:

Quantity (x) Price (y)

12                  $60

What is the slope-intercept form?

The slope-intercept form of a linear equation is y = mx + b, where x and y are variables, m is the slope of the line (also known as the "rate of change" or "rise over run"), and b is the y-intercept (the point where the line crosses the y-axis). The slope-intercept form is so called because it gives the slope of the line and the y-intercept in one equation

Here is the table you requested:

Quantity (x) Price (y)

12                  $60

This table shows the relationship between the quantity of pizzas ordered (x) and the price (y) for a pizza company that charges $60 for 12 pizzas. The equation y = mx + b can be used to represent the relationship, where m is the unit price and b is the y-intercept. In this case, m = 5 and b = 0.

Hence, the required table would be:

Quantity (x) Price (y)

12                  $60

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Answer:

I also need help

Step-by-step explanation:

A ship is on its maiden voyage to the mystery island. According to the map, it has to travel

99 miles to the north and then, 20 miles to the west to reach the island. Find the shortest

route that leads to the mystery island.

Answer:

20 miles

Step-by-step explanation:

would you rather go 99 miles or 20 miles

As per the unitary method,

(a) The amount earned by the sales​ rep's orders in​ May is $42 600

(b) The amount did her orders​ decrease is $8520

in math the term unitary method is known as the process of how to find the value of a unit from the value of a multiple and the value of a multiple from the value of a unit.

Here we have given that a sales representative’s orders for May were 16 2/3% less than her April orders, which amounted to $51 120.

By using the unitary method as we all know that the May order is decreased, then it can be calculated as,

=> 51120 – 16 2/3% of $51120

When we simplify this one then we get,

=> 51120 – 1/6 × 51120 = 51120 – 8520

Therefore the earning is $42 600

Similarly, through the calculation we have identified that  the decreased amount is $8520.

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Answer:

5 millimeters

Step-by-step explanation:

15 = 3x

5 = x

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Using the congruency of the top-right angles, it is found that the value of y is of 130.

What are parallel lines ?

Parallel lines can be defined as the lines which are equi distant from each other and they never intersect.

When two parallel lines are cut by a transversal, the top-right angles are congruent, that is, they have the same measure.

In this question, their measures are of (2x + 18)º and (4x - 14)º. Thus, with this, we can find x:

4x-14 = 2x+18

4x-2x = 18+14

2x = 32

x = 32/2

x = 16

Thus, the measure of the top right angles is given by, in degrees:

4x-14 = 4*16 - 14 = 64 - 14 = 50

The top-right and the bottom-right angles are supplementary, that is, the sum of their measures is 180º.

The measure of the top-right angle is of 50º.

The measure of the bottom-right angle is of y.

Thus:

y + 50 = 180

y = 180 - 50

y = 130

Hence, The value of y is of 130.

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The possible outcomes are the sample space of the game

The number of possible outcomes in the game is 3

Now, According to the question:

In the domain of Statistics, the number of possible outcomes for a given event help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.

How to determine the possible outcomes

The number of games is given as:

n = 2 i.e. 2 games to finish the season

In each game, the soccer team can either win, lose or tie.

So, we have the outcome of each game to be:

Outcome = {Win, Lose, Tie}

Count the outcomes

Count = 3

Hence, the number of possible outcomes in the game is 3.

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The given question is incomplete , complete question is:

Assume your favorite football team has two games left to finish the season. the outcome of each game can be win, lose, or tie. the number of possible outcomes is in the game ____

If Candidate A received 36 votes, the number of votes that Candidate B received is 60 votes. (third option)

The first step is to determine the relationship between the number of votes of Candidate A and B. This can be determined by expressing the number of votes in its simplest form.

12 : 20 in its simplest form is 3 : 5

18 : 30  in its simplest form is 3 : 5

27 : 45  in its simplest form is 3 : 5

Now, determine the factor second factor of 36 if the first factor is 3.

36 / 3 = 12

Now multiply 12 by 5: 12 x 5 = 60

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The radical expression completely:

Square root of [tex]48x^2y^5z[/tex] is  4[tex]xy^2[/tex] × sqrt(3y)

Now, According to the question:

Factor 48 into its prime factors

          48 = 24 × 3

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :

          16 = [tex]2^4[/tex]

Factors which will remain inside the root are :

          3 = 3

To complete this part of the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by 2 :

          4 = [tex]2^2[/tex]

At the end of this step the partly simplified SQRT looks like this:

        4 × sqrt[tex](3x^2y^5)[/tex]z

Rules for simplifying variables which may be raised to a power:

  (1) variables with no exponent stay inside the radical

  (2) variables raised to power 1 or (-1) stay inside the radical

  (3) variables raised to an even exponent: Half the exponent taken out, nothing remains inside the radical. examples:

    (3.1) sqrt[tex](x^8)=x^4[/tex]

    (3.2) sqrt(x-6)=x-3

(4) variables raised to an odd exponent which is  >2  or < (-2) , examples:

     (4.1)[tex]sqrt(x^5)=x^2sqrt(x)[/tex]

    (4.2) sqrt(x-7)=x-3sqrt(x-1)

Applying these rules to our case we find out that

    SQRT[tex](x^2y^5) = xy^2[/tex]SQRT(y)

Simplified root:

4[tex]xy^2[/tex] × sqrt(3y)

Hence, the radical expression completely:

Square root of [tex]48x^2y^5z[/tex] is  4[tex]xy^2[/tex] × sqrt(3y)

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Answer: Since AFGH is a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. We can use this property, known as the triangle inequality theorem, to determine the angles of AFGH in order from largest to smallest.

We are given that the perimeter of AFGH is 87, so we know that:

FG + GH + FH = 87

6x + 7 + 8x - 5 + 10x - 11 = 87

24x + 1 = 87

24x = 86

x = 3.5

Now that we know that x = 3.5, we can use the given lengths of the sides to find the values of the sides:

FG = 6x + 7 = 6(3.5) + 7 = 23

GH = 8x - 5 = 8(3.5) - 5 = 25

FH = 10x - 11 = 10(3.5) - 11 = 29

We can now use these values to determine the angles of AFGH in order from largest to smallest.

We can use the triangle inequality theorem to determine that:

FH>FG+GH

29>23+25

Therefore, the angle that is opposite to side FH is the largest angle in the triangle, and the angles opposite to FG and GH are the smaller angles.

So, the angles in the triangle AFGH are ordered from largest to smallest:

The angle opposite to side FH, angle A, is the largest.

The angles opposite to side FG and GH are the smaller angles.

Step-by-step explanation:

The scale of the drawing is given as follows:

1 : 4.5.

The scale of the drawing is obtained applying the proportions in the context of this problem.

The scale is defined as the division of the drawn length by the actual length.

The lengths are given as follows:

90/20 = 4.5, hence the scale of the drawing is given as follows:

1 : 4.5.

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Part A: The respondents in the population are a voluntary response sample.

Part B: The responses may not reflect the opinions of the general population

The total number of internet users in those is 1072 people.

The percentage of the total number of people that chose to respond is 38%

We can note that this survey does not compel the population to respond to the survey. These responses are given by the voluntary respondents.

Another point is that a voluntary response sample is a sample that consists of participants who are interested to participate in a sample group voluntarily.

In this type of survey, the people who are supposed to decide to provide voluntary responses to the survey are called voluntary response samples.

The percentage of those that chose to respond to this survey which is 38% is less than half of the total population. This result shows that the responses may not reflect the opinions of the general population.

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If the plant is n inches then,

the actual plant = 2n feet.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

The garden club at central middle school is planting a flower bed.

A scale drawing of the flower is shown.

The scale 1 in:2 ft

The scale factor,

the model = 1 inch

Then the actual plant = 2 feet.

If the plant is n inches then,

the actual plant = 2n feet.

Therefore, If the plant is n inches then, the actual plant = 2n feet.

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Answer: 22

Step-by-step explanation:

25+ [14 - {8+ (13-4)}]​

= 25 + [14 - {8 + 9 }]​

= 25 + [14 - 17]

= 25 - 3

= 22

The first diagram is the equation represented by 5 . 2 = 10 and the second diagram is the one with the equation represented by 2 + 5 = 7.

Tape diagrams are diagrams which are used to understand about the relationship between quantities and also they describe how those relationships has been described by operations.

Given are two tape diagrams.

First take the equation 2 + 5 = 7.

This means that 2 is just added to 5 to get 7.

One part contains 2 and the other part contains 5.

Length of it is 7.

Consider the second equation 5 × 2 = 10.

5 × 2 actually means that 5 is added to itself two times or 2 is added to itself five times.

Either 5 + 5 = 10 or 2 + 2 + 2 + 2 + 2 = 10

We have a diagram with 5 equal parts of 2.

Length is 10.

Hence the length of the first diagram is 10 and the length of second diagram is 7.

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The expression 16t-3t is not equivalent to 3t-16t because the negative sign belongs to the term 3t

For t = 2, 16t - 3t is equal to 26 and 3t - 16t is equal to -26

We know that an expression is nothing but a mathematical sentence with a minimum of two numbers or variables and at least one algebraic operation.

Also,  if two expressions are equivalent expression , then the two expressions must have the same value when we substitute the same values for the variables.

Here we have been given two mathemtical expressions:

16t - 3t and 3t - 16t

For t = 2,

16(2) - 3(2)

= 32 - 6

= 26

and 3(2) - 16(2)

= 6 - 32

= -26

This means, 16t - 3t ≠ 3t - 16t

We can oberve that 16t - 3t = -(-16 + 3t)

= -(3t - 16)

This means, 16t-3t is not equivalent to 3t-16t because the negative sign belongs to the term 3t

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Answer:

9/10

Step-by-step explanation:

90/100

is 9/10 simplified

Answer:

it 9/10 becuse nvm

Step-by-step explanation:

Answer:

Step-by-step explanation:

35368

The solution to the equation is 23

From the question, we have the following parameters that can be used to solve the question

7 - 5p + 3q

Also, we have the following values

p = 1 and q = 7

Substitute the know values in the given expression, so we have the following representation

7 - 5(1) + 3(7)

Evaluate the products

This gives

7 - 5 + 21

Evaluate the like terms

23

Hence the solution is 23

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