URGENT!!
Find the margin of error and 95% confidence interval for the survey result described.

A survey of 1500 people finds 87% support stricter penalties for child abuse.



Margin of error is approximately _________% (Round to the nearest hundredth.)

The 95% confidence interval is from _______% to _______% (Round to nearest hundredth.)

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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Answer:

Step-by-step explanation:

First you need to change the equation into basic y=mx + b form to graph the equation.

2x - 6y = 12

-6y= 12 - 2x

y = 12/-6 - 2x/-6

y = -2 + 1/3 which can be converted to y = 1/3 - 2

1/3 = slope

-2= y intercept or when using the y=mx+ b equation it can be considered as b.

From there you just graph the equation.. you put the a dot at y=-2 and then you just rise over run 1/3 which is the slope.

I hope this helps!!

By plotting the points (0, -2), (3, -1), and (-3, -3) on a graph and draw a straight line passing through them:

The line passing through these points represents the graph of the equation 2x - 6y = 12.

Here, we have,

To graph the equation 2x - 6y = 12, we can rearrange it into slope-intercept form, which is y = mx + b,

where m represents the slope and b represents the y-intercept.

Let's solve for y:

2x - 6y = 12

-6y = -2x + 12

Divide both sides by -6:

y = (2/6)x - 2

Simplify the fraction:

y = (1/3)x - 2

Now we have the equation in slope-intercept form, where the slope is 1/3 and the y-intercept is -2.

To graph this equation, we can start by plotting the y-intercept at (0, -2). From there, we can use the slope to find additional points and draw a straight line through them.

Using the slope, we know that for every increase of 1 in x, y increases by 1/3.

Similarly, for every decrease of 1 in x, y decreases by 1/3.

Let's choose a few x-values and find their corresponding y-values:

When x = 3:

y = (1/3)(3) - 2

y = 1 - 2

y = -1

So we have the point (3, -1).

When x = -3:

y = (1/3)(-3) - 2

y = -1 - 2

y = -3

So we have the point (-3, -3).

Now we can plot the points (0, -2), (3, -1), and (-3, -3) on a graph and draw a straight line passing through them:

The line passing through these points represents the graph of the equation 2x - 6y = 12.

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Step-by-step explanation:

a^4-6a^2-7-8x-x^2

a^4-6a^2-8x-x^2-7

-5a^2-9x^3-7

Answer: It will take Susan 420 minutes to read 210 pages of her novel.

Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.

Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter

Time taken by Peter = 2PM - 10AM

= 4 hrs

Speed of Peter = 84 km/h

Distance travelled by Peter = speed × time

= 84 × 4

= 336 km

So, the distance between Town A and Town B  = distance travelled by Peter = 336 km.

Now, we will calculate time taken by William.

Speed of William = 70 km / hr

Distance travelled by William = distance between Town A and town B = 336 km

Time taken by William = distance / speed

= 336 / 70 hr

= 4.8 hr

This can b converted into hrs and minutes

4.8 hr = 4 hr + 0.8 × 60

= 4 hr 48 mins

Time William took off = 10 AM - 1hr 25 mins

= 8:35 AM

Now, we will calculate the time William would reach town B.

Time = 8:35 + 4hr 48 mins

= 1:23 PM

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Answer:

16/81-3/4[

=[16×4-3×81]/[81×4]=-179/324 is your answer

The sample space for rolling a fair eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8}.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. The probability that an event will occur P(E) is equal to the ratio of favorable outcomes to total outcomes. The likelihood of an event occurring might range from 0 to 1.

Given an eight-sided die,

to find the sample space,

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results.

when eight sides die is tossed there will be 8 sample spaces that are,

1, 2, 3, 4, 5, 6, 7, 8,

so S = {1, 2, 3, 4, 5, 6, 7, 8}

Hence option D is correct.

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The sum of the first 20 terms​ is 800 if the sum of the first 7 terms of an arithmetical progression is 98 and the sum of the first 12 terms is 288.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

Let's suppose the first term of AP is a and common difference is d

Then the sum of the first 7 terms of an arithmetical progression is 98

\(\rm 98 = \dfrac{7}{2}(2a+(7-1)d)\\\\196 =14a +42d\\\\a + 3d = 14 \ ...(1)\)

The first 12 terms is 288,

\(\rm 288 = \dfrac{12}{2}(2a+(12-1)d)\\\\288 =12a +66d \\\\ 2a + 11d = 48 \ ....(2)\)

After solving equation (1) and (2), we get:

a = 2, and d = 4

Then the sum of the first 20 terms​ is given by:

\(\rm S_2_0 = \dfrac{20}{2}(2(2)+(20-1)(4))\)

\(\rm S_2_0 = \dfrac{20}{2}(4+76)\)

\(\rm S_2_0 = 800\)

Thus, the sum of the first 20 terms​ is 800 if the sum of the first 7 terms of an arithmetical progression is 98 and the sum of the first 12 terms is 288.

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The shadow of the person is 6.24 feet long.

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No. A multiple of ten and a multiple of ten will always have at least 2 zeros.

Final answer:

Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.

Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.

Step-by-step explanation:

Step 1

It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.

Step 2

This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.

Answer:

y = 3x - 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (1, -2)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-2 = 3(1) + b

-2 = 3 + b

b = -5

Step 4: Write parallel linear equation

y = 3x - 5

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The measure of the angle ABD is (3x + 29)  

Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.

When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.

Here we have

BD bisects ABC and ∠ABC = 6x+58  

When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure

Here BD bisected ABC

The resultant angles will be ∠ABD and ∠DBC

Hence,

=> ∠ABC = ∠ABD + ∠DBC

=> ∠ABC = ∠ABD + ∠ABD   [ Since two angles are equal

=> ∠ABC = 2∠ABD  

From the given data,

=> 6x + 58 = 2∠ABD  

=> 2 ∠ABD = 2(3x + 29)

=> ∠ABD = (3x + 29)  

Therefore,

The measure of the angle ABD is (3x + 29)  

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The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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The statement about f at x = -2 is option (D) the graph off f has a point of inflection at x = -2

The function is the mathematical statement that shows the relationship between one variable and another variable. If one variable is independent variable other variable is dependent variable.

Here graph of derivative of the function f is shown in the figure.

The point of inflection means the curvature in the graph. At the point of inflection there will be a curvature. The curvature might be concave up or concave down.

When the concave up the derivative will be increasing, when the concave down the derivative will be decreasing

In the graph, at from x = -2 the graph is decreasing

Therefore, the graph of f has a point of inflection at x = -2

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The given question is incomplete, the complete question is:

The graph of f', the derivative of the function f, is shown in the figure above. Which of the following statements about f at x = -2 is true?

(A) f is not continuous at x = -2.

(B) f has an absolute maximum at x = -2.

(C) The derivative of f does not exist at x = -2.

(D) The graph of f has a point of inflection at x = -2.

(E) The graph of f has a vertical tangent line at x = -2.

Answer:

Aida did not correctly divide by the common factor to get (4 + 8).

Answer:

B). Aida did not correctly divide by the common factor to get (4 + 8).

Step-by-step explanation:

Aida applied the distributive property to write the equivalent expressions given as

15 + 21 = 3(4 + 8)

But Aida made a mistake.

Since to get the common factor of 15 and 21 she did not divide these numbers by 3 correctly.

In simple words by division of 3 in 15 and 21, we get 5 and 7 instead of 5 and 8.

Therefore, Aida did not correctly divide by the common factor to get (4 + 8). ⇒ option B is the correct answer.

The value of x in the parallelogram is 112°.

In a parallelogram, adjacent angles are always supplementary. This means that the sum of two adjacent angles in a parallelogram is always 180 degrees.

To understand this concept, let's consider a parallelogram ABCD. The opposite sides of a parallelogram are parallel and equal in length, and the opposite angles are congruent. Adjacent angles are those that share a side. Let's say angle A and angle B are adjacent angles in the parallelogram.

Since opposite angles of a parallelogram are congruent, we have angle A is congruent to angle C, and angle B is congruent to angle D.

Now, let's consider angle A and angle B. The sum of angle A and angle B is equal to the sum of angle C and angle D because opposite angles are congruent.

Therefore, we can conclude that angle A + angle B = angle C + angle D = 180 degrees.

This property holds true for all parallelograms. So, in any parallelogram, the adjacent angles are always supplementary, meaning their sum is 180 degrees.

For the given question, we know x° + 68° = 180°.

Then x° = 180° - 68°

x° = 112°

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Answer:

Php630

Step-by-step explanation:

2 boxes of chocolates cost Php180.

Number of boxes : price

2 : 180

How much do 7 boxes of chocolates cost?

Let x = price of 7 boxes

Number of boxes : price

7 : x

Number of boxes : price

2 : 180 = 7 : x

2/180 = 7/x

cross product

2*x = 180*7

2x = 1,260

Divide both sides by 2

x = Php630

7 boxes of chocolates cost Php630

Answer: Swinging an arc from the first endpoint of the copied segment that comes directly after measuring the distance of the original segment

The system that has linear inequalities has the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4.

We know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

In option B, we have

y > -3 ----> inequality A

y ≥ 2/3x - 4 ----> inequality B

In both inequality, change the values of x and y at the point (3, -2) and then compare the outcomes.

Inequality A

y > -3 ----> is true

Inequality B

y ≥ 2/3x - 4 ----> is true

Therefore

The ordered pair is a solution of the system B

As a result, the point (3, -2) in the solution set of the system with linear inequalities is y > -3; y 2/3x - 4.

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The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer:

A is correct. √11 and √14 are both between 3 and 4.

So our goal is to determine the mean test score, which we don't know, we know to raw scores, we know one raw score is 38 that's one standard deviation below the mean, which by definition of a Z score that Z equals negative one. one

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Answer:

1/8*1/3^3

1/8*1/27

1/216

Step-by-step explanation:

just bring 3^-3 down then it will be positive.when u do so it will be1/3^3 .

Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

Answer: Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for $532. How much does each chicken ...

1 answer

·

Cost of one (chicken) = $8 Cost of one (duck) =$5 Explanation: Let c

Step-by-step explanation:

The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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9514 1404 393

Answer:

  A.  m - n = 5

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^m)/(a^n) = a^(m-n)

__

Here, we have a=x and m-n=5.

Answer:

10-4=6 :)

Step-by-step explanation:

Answer:

when 10 is subtracted from x the result is 6

x - 10 = 6