A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 8% margin of error at a 99% confidence level, what size of sample is needed

Answers

Answer 1

The required sample size is equal to 273.

We have given that,

A political candidate has asked you to conduct a poll to determine what percentage of people support her.

We have to determine the If the candidate only wants an 8% margin of error at a 99% confidence level,

p=0.5 (default since no value is given)

q=1-0.5=0.5

margin of error=5%=0.05

z_c=1.65 at 90% confidence.

What is the formula for marginal error?

The margin of error:

[tex]e= sqrt(p(1-p)/n)*z_c[/tex]

Use the given value in the above formula we get,

0.05=sqrt(0.5*0.5/n)*1.65

n= (0.5*1.65/0.05)^2=272.25

Therefore, The required sample size is equal to 273.

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Related Questions

Leon drives a long distance to attend a family reunion. At 12:00 PM, his gas tank is completely filled with 12 gallons of gas. Leon’s car uses gas at a constant rate, and after two hours of driving, Leon notices that his car used five gallons of gas. Leon will stop to get gas when his tank is one fourth of the way full. If Leon’s car continues to use gas at the same constant rate and Leon makes no other stops on his trip, at what time will Leon stop to get gas? Be sure to include AM or PM in your answer.

Answers

Based on the rate that Leon's car uses gas, the time that Leon will stop to get gas is 3:36 pm.

When will Leon stop to get gas?

Leon will stop to get gas when the tank is 1/4 full which is:
= 1/4 x 12

= 3 gallons

The rate at which the car uses gas is:

= Gallons used / Time traveled

= 5 / 2

= 2.5 gallons per hour

The number of hours till he has to stop is:

= (12 gallons - 3 gallons) / 2.5

= 3.6 hours

The time that Leon will stop is:

= 12pm + 3.6 hours

= 12 pm + 3 hours 36 minutes

= 1536 hours

= 3:36 pm

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People from two houses 9,000 feet apart are looking up at a plane that is BETWEEN them. House 1 is west of the plane has an angle of elevation of 17.5 degrees and house 2 is east of the plane and has an angle of elevation that is 18.8 degrees. How far is the plane from House 1?

Answers

The distance between the plane and house 1 is 4899.2 feet

How to determine the distance between the plane and house 1?

See attachment for illustration of the question, where x represents the distance between the plane and house 1

Start by calculating the angle A using:

A = 180 - 17.5 - 18.8 ----- (angles in a triangle theorem)

This gives

A = 143.7

The distance x is then calculated using the following sine theorem

a/sin(A) = b/sin(B) = c/sin(C)

Using the parameters in the diagram, we have:

x/sin(18.8) = 9000/sin(143.7)

Multiply both sides by sin(18.8)

x= sin(18.8) * 9000/sin(143.7)

Evaluate

x = 4899.2

Hence, the distance between the plane and house 1 is 4899.2 feet

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In a race, karen rode her bike for 1 hours
and then swam for 45 minutes. how long
did karen spend riding her bike and
swimming in the race? (1 hour - 60 minutes)

Answers

Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= 145

1
Type the correct answer in each box. Use numerals instead of words.
The zeros of the function () = -(+1)(-3)(+2) are -1.3, and
Blank).
Reset
Next
and the y-intercept of the function is located at (0,blank

Answers

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2, and the y-intercept of the function is located at (0,6)

The complete question

The zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are –1, 3, and __and the y-intercept of the function is located at (0,__)

How to determine the zeros?

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set the function to 0

-(x + 1)(x - 3)(x + 2) = 0

Divide both sides by - 1

(x + 1)(x - 3)(x + 2) = 0

Split

x + 1 = 0, x - 3 = 0 and x + 2 = 0

Solve for x

x = -1, x = 3 and x = -2

Hence, the zeros of the function f(x) = -(x + 1)(x - 3)(x + 2) are -1, 3, and -2

How to determine the y-intercept?

The function is given as:

f(x) = -(x + 1)(x - 3)(x + 2)

Set x to 0

f(0) = -(0 + 1)(0 - 3)(0 + 2)

Evaluate

f(0) = 6

Hence, the y-intercept of the function is located at (0,6)

Answers

The least value is 1, the greatest value is 7, and the median is 2.

How to calculate the median?

From the information given, the number of dogs is 7, cats are 5, parrots are 2, hamsters are 2, fish is 1, pig is 2 while turtle is 0.

The median is the number in the middle when the numbers are arranged in ascending or descending order. The numbers will be 0, 1, 2, 2, 2, 5, 7. Therefore, the median is 2.

Also, by looking at the picture attached, the least value is 1, the greatest value is 7.

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A line has a slope of 5 and passes through the point (0, 3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y=[ x +
Submit
Tutorial

Answers

Answer:

y=5x+3

Step-by-step explanation:

in slope-intercept form, y=mx+b, m is the slope and b is the y-intercept. Should the equation pass through (0,3) then the y-intercept is 3, as the y-intercept is where the equation touches the y-axis (when x = 0), and the slope, 5, was already given to us within the problem itself.

can someone please help me in finding the range

Answers

Answer:

[tex]\{-20, -2 ,13\}[/tex]

Step-by-step explanation:

The range of a function is the set of its possible output values

[tex]f(x) = 3x-8\\\\f(-4) = 3(-4) -8 = -12 -8 = -20\\\\f(2) = 3(2) -8 =6-8 = -2\\ \\f(7) = 3(7) -8 = 21 -8 = 13\\\\\text{Range} = \{-20, -2 ,13\}[/tex]

Write And equation of the parabola that has the same shape as the graph of f(x)=5x^2, but with (2,5) as the vertex

Answers

Answer:5*(x-2)^2 + 5

Step-by-step explanation:that would be the answer 5x^2-20x+25

In scientific notation, 8,700 is written:

8.7 x (10 1)
8.7 x (10 2)
8.7 x (10 3)
8.7 x (10 4)

Answers

The number 8700 written in scientific notation is 8.7 * 10^3

How to express the number in scientific notation?

The number is given as:

Number = 8700

The scientific notation is represented as:

a * 10^b

Where a is between 1 and 10 and b is an integer representing the number of zeros

So, we have:

8700 = 87 * 10^2

Express 87 as 8.7 * 10

8700 = 8.7 * 10* 10^2

Evaluate

8700 = 8.7 * 10^3

Hence, the number 8700 written in scientific notation is 8.7 * 10^3

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an outfielder throws a ball to home plate. the balls path is modeled by the graph of y=x/5-x^2/1000 where x represents the horizontal distance of the ball from the outfield and y represents the balls vertical distance above the ground. what are the coordinates of vertex of the ball's path?

Answers

The coordinates of the vertex for the quadratic function are given as follows: (100,10).

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, the function is given as follows:

y = -x²/1000 + x/5

y = -0.001x² + 0.2x.

Hence the coefficients are a = -0.001, b = 0.2, c = 0 and the coordinates of the vertex are given as follows:

[tex]x_v = -\frac{0.2}{2(-0.001)} = 100[/tex][tex]y_v = -\frac{(0.2)^2}{4(-0.001)} = 10[/tex]

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Can someone help me with this question ?

Answers

Answer:

it is median

Step-by-step explanation:

because it have number in alphabetic order

HELP PLEASE ILL GIVE BRANLIEST

Answers

Answer:

200

Step-by-step explanation:

i'm not sure about it, try it i guess

A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are the 3 side lengths? Show your work

Answers

The three sides of the triangles are 11 cm, 22cm, and 44cm.

What is the perimeter of a triangle?

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

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Savannah made ice cubes for a party. Each ice cube measured 20 mm by 20 mm by 20 mm. How much water was needed to make each cube?
2,000 millimeters cubed
2,400 millimeters cubed
6,000 millimeters cubed
8,000 millimeters cubed

Answers

The quantity of water was needed to make each cube given the dimensions of the cubes is 8,000 millimeters cubed

Volume of each ice cube?

Length = 20 mmWidth = 20 mmHeight = 20 mm

Volume of water to make each cube = 20 × 20 × 20

= 8,000 millimeters cubed

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The graph of an absolute value function contains the points (–3, 5), (0, 2) and (3, 5). Which could be the function represented by this graph? Check all that apply.

f(x) = |x| + 2
f(x) = –|x| + 2
f(x) = |x| – 2
f(x) = |–x + 2|
f(x) = |–x| + 2
f(x) = –|x| – 2
f(x) = |x + 2|

Answers

The absolute value functions that contains the points are:

f(x) = |x| + 2f(x) = |-x| + 2

Which could be the function represented by this graph?

Here we have the points (-3, 5), (0, 2), and (3, 5). We want to see which ones of the given functions have that points.

To check that, we need to evaluate the functions in the first value of each point and see if the outcome is the second value of the correspondent point.

For example, for the first equation:

f(-3) = |-3| + 2 = 5 so it has the point (-3, 5)f(0) = |0| + 2 = 2 so it has the point (0, 2)f(3) = |3| + 2 = 5 so it has the point (3, 5).

The other option that also contains these 3 points is:

f(x) = |-x| + 2

f(-3) = |3| + 2 = 5 so it has the point (-3, 5)f(0) = |-0| + 2 = 2 so it has the point (0, 2)f(3) = |-3| + 2 = 5 so it has the point (3, 5).

And all the other options can be trivially discarded (by evaluating them).

So the two correct options are:

f(x) = |x| + 2f(x) = |-x| + 2

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Kayden es piloto de acrobacias. Una vez
que debía escapar de un edificio a punto de
explotar, manejó a velocidad constante para
llegar a la zona de seguridad, que estaba a
160 metros de distancia. Después de 3
segundos de manejar, estaba a 85 metros
de la zona de seguridad.
Sea y la distancia (en metros) a la zona de
seguridad después de a segundos.
Completa la ecuación para la relación
entre la distancia y el número de
segundos.
=
Y

Answers

La ecuación para la relación entre la distancia y el número de segundos: y =-25x+160.

Ecuación para la relación entre la distancia

x=0, y=160m

x=3, y=85m

Dónde:

x=Tiempo

y=velocidad

El primer paso es encontrar el tiempo

Tiempo = (85-160m)/ 3s

Tiempo=-75m/3s

Tiempo=-25 m/s

El segundo paso es crear la ecuación

y =-25x+160

Por lo tanto la ecuación de la relación entre la distancia y el número de segundos: y =-25x+160.

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When solved for c, the equation is c = k – 273.15 c = 273.15 – k c = k 273.15 c = 273.15k

Answers

The the equation K = C + 273.15 when solved for c is C = K - 273.15

Change of subject of formula

K = C + 273.15

subtract 273.15 from both sides

K - 273.15 = C

Therefore,

C = K - 273.15

Complete question:

The temperature measured in Kelvin (K) is the temperature measured in Celsius (C) increased by 273.15. This can be modeled by the equation K = C + 273.15.

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Answer:

When solved for C, the equation is

C = K – 273.15

Step-by-step explanation:

Solve the inequality.
r + 4 - 2(r - 14) >0

Answers

r + 4 - 2r + 28 > 0

-r + 32 > 0

32 - r > 0

-r > -32

r < 32

In circle O, and are diameters. The measure of arc DC is 50°.

Circle O is shown. Line segments A C and E B are diameters. Line segment O D is a radii. Point D is between points E and C. Angle B O D is 90 degrees.

What is the measure of Arc E B C?

40°
90°
140°
220°

Answers

A circle is a curve sketched out by a point moving in a plane. The measure of Arc EBC is 220°.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Since in the given circle EB is the diameter, therefore, the measure of ∠EOB will be 180°.

Given the measure of ∠BOD is 90°, while the measure of arc DC is 50°. Therefore, the measure of ∠COD is 40°.

Thus, the measure of Arc EBC is the sum of ∠EOD and ∠COD, therefore, the measure of the Arc EBC is 220°

Hence, the measure of Arc EBC is 220°.

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Answer: D

Step-by-step explanation:

write the equation for the graph

Answers

Answer:

y=x-4

Step-by-step explanation:

Writing this in slope-intercept form or y=mx+b.
y = y coordinate
m = slope
x = x coordinate
b = y intercept (where the line intercepts on the y axis)

The slope is 1 because it's moving up and if you move over 1 unit to the right, then 1 unit up, you would cross another point. The y-intercept is -4 because that's where the line intercepts the y-axis.

Hence, the equation would be y=x-4

Note: I did not have y=1x-4 because 1x is the same as x.

susan ate 3/8 of a pan of brownies. Which decimal represents the amount of brownies left?

A 0.375

B 0.625

C 0.325

D 0.675

Answers

Answer:

B 0.625

Step-by-step explanation:

8/8-3/8=5/8

5/8=0.625

Answer:

Step-by-step explanation:

First you have to find how much 1/8 is as a decimal, which is 0.125. Multiply 0.125 by 3 to get 3/8 or add it 3 times which gives you 0.375. That knocks out 2 answers already A and C because it's asking how many brownies are left. You can either subtract 0.375 from 1 or you can do an easier way. .075 + 0.25 = 0.1, so it can't be D because it would be over 1 pan of brownies which leaves you with B. B is your answer.

A cheetah sprints at a speed of 112 km/h. Calculate the time taken in seconds it takes to sprint 1.4 km.

Answers

Answer:

0.75

Step-by-step explanation:

Time = D/S

D = 1.4 km

S = 112km/h

Time = 14/1120

=1/80

1/80 × 60 ( 1 hour =60 s)

=0.75 second

Evaluate each function at the given value using the remainder theorem.

F(x)=x^4+5x^3-18x+1 at x=-4

Please show work , I give brainliest. :)

Answers

Answer:

Step-by-step explanation:

[tex]f(x) = x^4 +5x^3 -18x +1\\\\f(-4) = (-4)^4 +5(-4)^3 -18(-4) +1\\\\~~~~~~~~~=256+5(-64)+72+1\\\\~~~~~~~~~=329-320\\\\~~~~~~~~~=9[/tex]

What is the area of an equilateral triangle that has a perimeter of 36 centimeters? Round to the nearest square centimeter.

Answers

Answer:

(a is size of side of triangle)

the perimeter of equilateral triangle =3a

or, 36=3a

Thus, a = 13cm

area of equilateral triangle

=√3/4*(a^2 )

=√3/4*(13^2)

=73cm^2

g(x) = x3 + 6x2 + 12x + 8

A 2-column table with 5 rows. The first column is labeled g of x with entries negative 3, negative 2, 0, 2, 3. The second column is labeled f of x with entries negative 1, 0, 8, 64, 125.

Determine the function’s value when x = −1.

Answers

The value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

How to evaluate the function?

The equation of the function is given as:

g(x) = x^3 + 6x^2 + 12x + 8

When x = -1, we have:

g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8

Evaluate the expression

g(-1) = 1

Hence, the value of the function g(x) = x^3 + 6x^2 + 12x + 8 when x = -1 is 1

Answers

Answer:

mean=9

median=9

range=16

Based on the given information we have;

Mean = 9 miles

Median = 9 miles

Range = 6 miles

What are mean and median?

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

We are given that people in Mr. Kendrick's office drive 10, 3, 17, 1, 8, 6, 12, and 15 miles to work.

Mean= 10 + 3 + 17+ 1 + 8 + 6+ 12 + 15 / 8

Mean= 9

The median=9

The range = maximum - minimum

= 6

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Use the interactive protractor to determine the measure of the angle. What is mAngleJHG?

Answers

To calculate the angle's size, use the interactive protractor. The angle JHG will be measured at 115°. Option D is correct.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

The angle ∠JHG is found as;

∠JHG = 180°-65°

∠JHG = 115°

The measure of the angle ∠JHG will be 115°.

Hence, option D is correct.

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Answer: 110

Step-by-step explanation: i put 115 and it was wrong , it turned out to be 110

An equation of the form 7/8 = x/9 is called a/an_________

Answers

Answer:

Proportion.

Step-by-step explanation:

Sorry for the late answer! I hope this helps! :)

All tangents to the circle are congruent and form a square. the perimeter of square aceg is 24 cm. a circle is inscribed in square a c e g. points f, h, b, and d of the circle are on the sides of the square. what is the length of line segment bc? 2 cm 3 cm 6 cm 8 cm

Answers

The length of line segment bc is 3 cm. Thus, the correct option is B.

What is a perimeter?

Perimeter is the sum of the length of the sides used to make the given figure.

Since ACEG is a square and the perimeter of the square is 24 cm, therefore, the length of the side of the square is 6 cm.

Now, since the circle is inscribed in the square, therefore, each side of the circle will be divided into two equal parts by the circle. Thus, the value of BC is half the length of the side of the square.

BC = AC /2 = 6cm /2 = 3 cm

Hence, the length of line segment bc is 3 cm. Thus, the correct option is B.

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Answer: B (3)

Step-by-step explanation:

If $6000 was expected in sales and only $5100 was attained, what reduced fraction represents sales attained?

Answers

The reduced fraction that represents the sales attained is 17/20

How to determine the fraction?

The given parameters are:

Expected = $6000

Attained = $5100

The fraction is represented as:

Fraction = Attained/Expected

So, we have:

Fraction = 5100/6000

Divide by 300

Fraction = 17/20

Hence, the reduced fraction is 17/20