According to a Gallup poll of 1012 people, about one-third of (32%) of Americans keep a dog for protection. Find the:Margin of Error Incorrect% (round to the tenth of a percent)The 95% Confidence Interval Incorrect% to Incorrect% (round to the tenth of a percent)

Answers

Answer 1
The margin of error of the proportion given is of 2.9%.Applying the margin of error, the confidence interval is (29.1%, 34.9%).

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

The margin of error of a confidence interval of a proportion \(\pi\) in a sample of size n, with a confidence level of \(1-\alpha\), is:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The confidence interval is:

\(\pi \pm M\)

In this problem:

Poll of 1012 people, thus \(n = 1012\). 32% keep a dog, thus \(\pi = 0.32\)

95% confidence level

Thus \(\alpha = 0.05\), z is the z-score that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(z = 1.96\).  

The margin of error is:

\(M = 1.96\sqrt{\frac{0.32(0.68)}{1012}} = 0.029\)

As a percent, 2.9%, as 0.029 x 100% = 2.9%.

Now for the confidence interval, which is percentage plus/minus margin of error, thus:

\(32 - 2.9 = 29.1\)

\(32 + 2.9 = 34.9\)

The confidence interval is (29.1%, 34.9%).

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Related Questions

Find the slope of the equation y=2x+5

Answers

Answer:

the slope is 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

An ant can travel at a constant speed of 980 inches every 5 minutes. At this rate, how far can the ant travel in 7 minutes?

Answers

Answer:

Step-by-step explanation:

if the ant travels 980 every 5 minutes

980/5=196 inch/min

in 7 min

196*7=1372 inches

HURRY IM BEING TIMED! The line of best fit for this scatter plot shows the relationship between the average temperature and the monthly electricity bill at Jenny’s house.

Answers

Answer:

\(y = \frac{11}{8}x + 50\)

Step-by-step explanation:

Given

See attachment for plot

Required

The line of best fit

From the attached plot, we have:

\((x_1,y_1) = (0,50)\)

\((x_2,y_2) = (80,160)\)

Calculate the slope (m)

\(m = \frac{y_2 - y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{160 - 50}{80-0}\)

\(m = \frac{110}{80}\)

\(m = \frac{11}{8}\)

The line of best fit is then calculated as:

\(y = m(x - x_1) + y_1\)

This gives:

\(y = \frac{11}{8}(x - 0) + 50\)

\(y = \frac{11}{8}x + 50\)

HURRY IM BEING TIMED! The line of best fit for this scatter plot shows the relationship between the average

Answer:

The electricity bill will be about $200 when the average temperature reaches 100°F.

( — 6x — Зу = 0)
(x — Зу =-7)

Answers

Y=2 and X=-1 are the answers

Two friends, Emma and Alice, are growing out their hair. They plan to cut it off at a certain point and donate it to a charity that makes wigs for people with cancer. Emma's hair is already 10 centimeters long and grows at a constant rate of 2 centimeters per month. Alice's hair is 30 centimeters and growing at a speed of 1 centimeter per month. If the girls get their hair cut on a certain day, they will have exactly the same length to donate. How long will their hair be?

Answers

Answer:

50 cm

Step-by-step explanation:

Let

x = number of months

Emma = 10 + 2x

Alice = 30 + x

Equate the equation of both girls

10 + 2x = 30 + x

10 - 30 = x - 2x

-20 = - x

x = 20

How long will their hair be?

Emma = 10 + 2x

= 10 + 2(20)

= 10 + 40

= 50cm

Alice = 30 + x

= 30 + 20

= 50 cm

P=r-s-9
PLEASE HELP ME WITH TIS PROBLEM AND EXPLAIN

Answers

Answer:

what am i supposed to do please provide info

In the diagram, line I and line m are parallel, m/3
18 = 9x 16 and m25 = 7x + 4. Solve for x.

In the diagram, line I and line m are parallel, m/318 = 9x 16 and m25 = 7x + 4. Solve for x.

Answers

Answer:

12

Step-by-step explanation:

By the consecutive interior angles theorem, \(m\angle 3+m\angle 5=180^{\circ}\).

\(9x-16+7x+4=180 \\ \\ 16x-12=180 \\ \\ 16x=192 \\ \\ x=12\)

equivalent ratio to 21/126

Answers

41/252

just times both by 2 to find an equivalent ratio

KEEP ON HELPING YOUR BESTIE ASAP!

AGAIN...

KEEP ON HELPING YOUR BESTIE ASAP!AGAIN...

Answers

Answer:

(4,6) is the result of the movement

Step-by-step explanation:

Find the missing number to create a perfect-square binomial
___ y2-36y+81

Answers

Answer:

To create a perfect-square binomial of the form (y - k)^2, we need to find the value of k such that:

the first term of the binomial is y^2 (which is already the case)

the second term of the binomial is -2ky (which corresponds to -36y in the given expression)

the third term of the binomial is k^2 (which corresponds to 81 in the given expression)

To find k, we can use the formula:

k = (1/2)*(-b/a)

where a is the coefficient of y^2, b is the coefficient of y, and we are looking for the value of k that makes the expression a perfect square.

In this case, a = 1 and b = -36, so:

k = (1/2)(-b/a) = (1/2)(-(-36)/1) = 18

Therefore, the missing number to create a perfect-square binomial is 18:

(y - 18)^2 = y^2 - 36y + 324

Selena's snow cone stand sells small snow cones for $2 and large snow or $3
One summer day, she sold $146 worth of snow cones. If the number of age snow
cones sold was 12 more than the number of small ones, write and solve a system of
equations to determine how many she sold of each.

Answers

she sold 34 large ones and 22 small ones

A red marble is selected at random from a bag of 2 blue and 9 red marbles and not
replaced. What is the probability that a second marble selected will be red

Answers

Answer:

total no = 11

probability of getting red marble

=no of red/total no

=9/2

pls help asap MIDSEGMENTS

pls help asap MIDSEGMENTS

Answers

Answer:

yyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz

Answers

here you go, hope this helped
if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz

Can you guys please help me with this question I think it’s A. but I’m not sure if it’s correct?!PLEASEEE

Can you guys please help me with this question I think its A. but Im not sure if its correct?!PLEASEEE

Answers

Answer:

A is correct

Step-by-step explanation:

Whatever value you put in for "y" will keep both of the equations equal

I’m pretty sure your right.

A store owner buys a pound of grapes for 80 cents and sells it for a dollar. What percent of the selling price of grapes is the store owner's profit?
A 20%
B 25%
C 40%
D 80%

Answers

The store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

The store owner buys the grapes for 80 cents and sells it for 100 cents, so the profit is 100-80 = 20 cents.

The percentage of the profit is (profit/cost) x 100%. In this case, the profit is 20 cents and the cost is 80 cents, so the percentage of profit is (20/80) x 100% = 25%.

Therefore, the store owner's profit is 25% of the selling price of grapes, which corresponds to option B.

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Find the indicated nth term of the geometric sequence.
8th term: 2.-8.32,...

Answers

Answer:

            \(\bold{a_8=-32\,384}\)

Step-by-step explanation:

\(a_1=2\\a_2=-8\\\\q=\frac{-8}2=-4\\\\a_n=a_1\cdot q^{n-1}\\\\a_8=2\cdot(-4)^7=2(-16\,384)=-32\,384\)

The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram of waiting time for walk-in customers. Approximately how many walk-in customers waited at least 6 minutes? (Note the position of the labels on the x-axis — the first column is the number of customers who waited 1 minute and the last column is the number of customers who waited 10 minutes)

Answers

The number of people who waited at least 6 minutes is given as follows:

50 people.

What is shown by the histogram?

The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.

The desired outcomes for this problem are given as follows:

Between 6 and 7 minutes: 20 people.Between 7 and 8 minutes: 15 people.Between 8 and 9 minutes: 10 people.Between 9 and 10 minutes: 5 people.

Hence the number of people who waited at least 6 minutes is given as follows:

20 + 15 + 10 + 5 = 50 people.

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The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram

PLEASE HELP ME IM BEING TIMED

PLEASE HELP ME IM BEING TIMED

Answers

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

What is the domain of a function?

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

v is the speedt is the time of motion

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

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Evan cut a triangular piece of cloth to use in a quilt. The perimeter of the cloth is 934 cm. The base of the triangular cloth is 214cm. The remaining two sides are the same length.


Choose Yes or No to tell if each expression models how to find the length of the other two sides of Evan’s cloth.

Please help me

Answers

Answer:

Step-by-step explanation:

9

Answer:

One expression for the length of one of the equal sides

is x = (934 - 214) / 2.

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

Let the length of one of the equal sides be x cm

So, we have:

2x + 214 = 934

2x = 934 - 214 = 720

x = 720 /2 = 360 cm.

La piscina está abierta cuando la temperatura alta es mayor de 2 0 ∘ C 20 ∘ C20, degrees, start text, C, end text. Lainey intentó nadar el lunes y el jueves (que fue 3 33 días después). La piscina estaba abierta el lunes, pero estaba cerrada el jueves. La temperatura alta era 3 0 ∘ C 30 ∘ C30, degrees, start text, C, end text el lunes, pero disminuyó a una tasa constante en los siguientes 3 33 días. Escribe una desigualdad para determinar la tasa de disminución de la temperatura en grados Celsius por día, d dd, de lunes a jueves

Answers

Por lo tanto, la tasa de disminución de la temperatura en grados Celsius por día debe ser menor o igual a 10/3 para que la piscina esté abierta el jueves.

Para resolver este problema, necesitamos utilizar la siguiente fórmula:

Temperatura final = Temperatura inicial - tasa de disminución x días

Sea x la tasa de disminución en grados Celsius por día. Entonces, la temperatura alta el jueves fue:

30 - x(3)

Como se menciona en el problema, la piscina está abierta cuando la temperatura alta es mayor de 20 ∘ C20, degrees, start text, C, end text. Por lo tanto, la temperatura alta el jueves debe ser mayor o igual que 20 ∘ C20, degrees, start text, C, end text. Entonces, tenemos la siguiente desigualdad:

30 - x(3) ≥ 20

Resolviendo para x, obtenemos:

x ≤ 10/3

Por lo tanto, la tasa de disminución de la temperatura en grados Celsius por día debe ser menor o igual a 10/3 para que la piscina esté abierta el jueves.

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Sincerity is a valuable attribute when declining a promotion.

Answers

Sincerity is indeed a valuable attribute when declining a promotion. It reflects honesty, authenticity, and respect for oneself and others involved in the decision-making process.

Being sincere in declining a promotion can help maintain positive relationships, preserve trust, and ensure open communication within the professional setting.

When faced with the decision to decline a promotion, expressing sincerity is essential. By being sincere, one communicates their genuine thoughts and feelings about the promotion, providing transparency to their superiors and colleagues. Sincerity demonstrates honesty and integrity, as individuals express their true desires and motivations without resorting to insincere or fabricated reasons.

It shows respect for the organization and the opportunity presented, while also considering personal goals, aspirations, and career trajectory. Additionally, sincerity in declining a promotion helps foster positive relationships with superiors, as they appreciate the open and honest communication, leading to a better understanding of one's professional aspirations and potential for growth. Overall, sincerity in such situations promotes a healthy work environment built on trust, understanding, and mutual respect.

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Is 13/12 greater then 6/5?

Answers

Answer:

yes

Step-by-step explanation:

13/12 is not greater than 6/5

Which of the following situations involves a paired sample? Select all that apply. The height of a random sample of women compared to the height of a random sample of men. The heights of a random sample of women from one country compared to the heights of a random sample of women from another country. The heights of a random sample of women compared to the heights of their spouse. The height of a random sample of woman compared to the height of her oldest adult daughter

Answers

The correct options are:

The heights of a random sample of women compared to the heights of their spouse.

The height of a random sample of woman compared to the height of her oldest adult daughter.

The situations that involve paired samples are:

The heights of a random sample of women compared to the heights of their spouse. In this situation, each woman is paired with her spouse, and their heights are compared.

The height of a random sample of woman compared to the height of her oldest adult daughter. Here, each woman is paired with her oldest adult daughter, and their heights are compared.

So, the correct options are:

The heights of a random sample of women compared to the heights of their spouse.

The height of a random sample of woman compared to the height of her oldest adult daughter.

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How do you graph Y= 5/3x

How do you graph Y= 5/3x

Answers

Answer:

start at (0,0) go up 5 right 3 to land on (5,3)

Step-by-step explanation:

You hear on the news that over the next 5 years the inflation rate will skyrocket to 12% if today a new blu-ray movie costs $19.99 assuming continuous compounding how much will the same disk cost in 5 years?

Answers

The Blu-ray movie will cost approximately $36.42 in 5 years with an inflation rate of 12% and continuous compounding.

To calculate the future cost of the Blu-ray movie in 5 years with an inflation rate of 12% and continuous compounding, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A = Future value

P = Present value

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time period in years

In this case, the present value (P) is $19.99, the inflation rate (r) is 12% or 0.12, and the time period (t) is 5 years. Substituting these values into the formula, we get:

A = 19.99 * e^(0.12 * 5)

Calculating the exponent first:

0.12 * 5 = 0.6

Then:

e^0.6 ≈ 1.82212

Finally:

A = 19.99 * 1.82212 ≈ 36.42

Using the formula for continuous compound interest, we calculated that a Blu-ray movie that costs $19.99 today will cost approximately $36.42 in 5 years, assuming an inflation rate of 12% and continuous compounding.

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Every winter, your family sets up a hot chocolate stand near the local ice skating rink. You sell cups of hot chocolate for $1.50 each, and you usually ...

Answers

During the winter season, a family sets up a hot chocolate stand near a local ice skating rink. They sell cups of hot chocolate for $1.50 each and typically sell 50 cups per day.

However, due to changes in weather conditions and customer preferences, the family decides to conduct a market experiment by varying the price of hot chocolate to assess the impact on sales volume. The experiment involves increasing the price to $2.00 per cup and monitoring the resulting sales.

By increasing the price of hot chocolate from $1.50 to $2.00 per cup, the family aims to observe how the change in price affects the demand for their product. The experiment helps them understand the price elasticity of demand, which measures the responsiveness of quantity demanded to changes in price. If the increase in price leads to a significant decrease in sales volume, it suggests that the demand for hot chocolate is elastic, meaning consumers are sensitive to price changes. Conversely, if sales remain relatively stable despite the price increase, it indicates that the demand is inelastic, indicating that consumers are less sensitive to price changes. The family can analyze the results of this experiment to make informed pricing decisions and optimize their profitability during the winter season.

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Help me on this please I’d appreciate it

Help me on this please Id appreciate it

Answers

Answer:

27.7 (rounded)

Step-by-step explanation:

The correct answer is 27.7

Adam riese developed the signs + and - as mathematical operations what is the title of the work that introduced them?

Answers

The title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.

What are mathematical operations?

In mathematics, an operation is a function that takes zero or more input values to a well-defined output value.

Adam Riese developed the signs + and - as mathematical operations and the title of the work introduced is Rechnung nach der lenge/auff den Linien und Feder.

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The temperature in a rectangular box is approximated by
T(x,y,z) = xyz(1-x)(3-y)(5-z),
0≤x≤1, 0≤y≤3, 0≤z≤5.
If a mosquito is located at (1, 2, 3), in which direction should it fly to cool off as rapidly as possible? as slowly as possible?

Answers

To determine the direction in which the mosquito should fly to cool off as rapidly as possible, we need to find the negative gradient of the temperature function T(x, y, z) = xyz(1-x)(3-y)(5-z) at the point (1, 2, 3). The negative gradient points in the direction of steepest descent, which represents the direction in which the temperature decreases most rapidly.

Let's calculate the negative gradient:

\(\nabla T(x, y, z) = \langle \frac{\partial T}{\partial x}, \frac{\partial T}{\partial y}, \frac{\partial T}{\partial z} \rangle\)

To find ∂T/∂x, we differentiate T(x, y, z) with respect to x while treating y and z as constants:

\(\frac{\partial T}{\partial x} = yz(1-x)(3-y)(5-z) + xyz(3-y)(5-z)\)

To find ∂T/∂y, we differentiate T(x, y, z) with respect to y while treating x and z as constants:

\(\frac{\partial T}{\partial y} = xz(1-x)(5-z) + xyz(1-x)(5-z)\)

To find ∂T/∂z, we differentiate T(x, y, z) with respect to z while treating x and y as constants:

\(\frac{\partial T}{\partial z} = xy(1-x)(3-y) + xyz(1-x)(3-y)\)

Now, let's evaluate the gradient at the point (1, 2, 3):

\(\nabla T(1, 2, 3) = \langle \frac{\partial T}{\partial x}(1, 2, 3), \frac{\partial T}{\partial y}(1, 2, 3), \frac{\partial T}{\partial z}(1, 2, 3) \rangle\)

Substituting the values into the partial derivatives, we get:

\(\nabla T(1, 2, 3) = \langle 2(1-1)(3-2)(5-3) + 1(1)(3-2)(5-3), 1(1)(1-1)(5-3) + 1(1)(3-1)(5-3), 1(1)(3-2)(3-1) + 1(1)(3-2)(5-3) \rangle\)

Simplifying, we have:

\(\nabla T(1, 2, 3) = \langle 0 + 1(1)(1)(2), 0 + 1(1)(2)(2), 0 + 1(1)(2)(2) \rangle\\\nabla T(1, 2, 3) = \langle 2, 4, 4 \rangle\)

Therefore, the negative gradient at the point (1, 2, 3) is given by:

\(- \nabla T(1, 2, 3) = \langle -2, -4, -4 \rangle\)

Hence, the mosquito should fly in the direction ⟨-2, -4, -4⟩ to cool off as rapidly as possible.

To determine the direction in which the mosquito should fly to cool off as slowly as possible, we consider the positive gradient, which points in the direction of steepest ascent. Thus, the mosquito should fly in the direction ⟨2, 4, 4⟩ to cool off as slowly as possible.

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