In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. What is the margin of error with a confidence level of 95%?

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Answer 1
In an ecological study, the sampling mean proportion is 0.28 and the sample size is 50. a) What is the margin of error with a confidence level of 95%?
The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the negative reciprocal of the slope of the first. The system described above is represented by the following equations: y --X-2 y - 4x - 19 Please select the best answer from the choices provided
Answer 2

The margin of error is 0.1245 (approx) with a confidence level of 95%.

What is margin of error ?

Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.

Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

where [tex]z^{*}[/tex] is the value for confidence level or quantile,

p is the sampling mean proportion and n is the sample size.

How to find margin of error in given problem ?

Here, The sampling mean proportion(p)= 0.28

The sample size(n)= 50

Confidence level = 95%

Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96

Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]

                            = [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]

                            = [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]

                            = [tex]1.96\sqrt{0.004032}[/tex]

                            = [tex]1.96[/tex]×[tex]0.0635[/tex]

                            = [tex]0.1245[/tex] (approx)

So, The margin of error is 0.1245 (approx).

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Related Questions

Find the greatest common factor of 28a^3 , 12a^4 and 26a^5

Answers

Answer:

2a³

Step-by-step explanation:

2a³ can divide all these without living a remainder

WILL GIVE BRAINLIEST!
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X=14.72

Using cosine

can you solve this problem please​

Answers

Answer:

k = 11

Step-by-step explanation:

Given the points are collinear then the slopes between consecutive points are equal.

Using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = [tex]\frac{-1-1}{1-5}[/tex] = [tex]\frac{-2}{-4}[/tex] = [tex]\frac{1}{2}[/tex]

Repeat with another 2 points and equate to [tex]\frac{1}{2}[/tex]

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)

m = [tex]\frac{4+1}{k-1}[/tex] , then

[tex]\frac{5}{k-1}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

k - 1 = 10 ( add 1 to both sides )

k = 11

Answer: K=11

Explanation:

can you slve fasssst pls

Answers

Step-by-step explanation:

the value of x is 18 degree and the value of Y is 15 degree

Help me pls
this is very important

Answers

Answer:

C/3rd one. (y=2x+4)

Step-by-step explanation:

In the equation y=mx+b, m=slope of the line and b=y-intercept. From the graph, we know the y-intercept is 4 so we can write y=mx+4. To find the slope: (0-4)/(-2-0) = (-4)/(-2) = 2. We can replace the m with 2 to get the final equation of y=2x+4 which is also the third answer.

Which is equivalent to7^(3/2) over 7^(1/2)?

A. 7^(1/3)
B. 7^(3/4)
C. 7^1
D. 7^2
E. 7^3

Answers

the answer is c! you just subtract: 3/2-1/2, which is 1.

Given the expression below:

[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } }[/tex]

Use the following property:

[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]

Therefore:

[tex] \large{ \frac{ {7}^{ \frac{3}{2} } }{ {7}^{ \frac{1}{2} } } = \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } } \\ \large{ \frac{ \sqrt{ {7}^{3} } }{ \sqrt{7} } = \frac{ \sqrt{7 \times 7 \times 7} }{ \sqrt{7} } \longrightarrow \frac{7 \sqrt{7} }{ \sqrt{7} } } \\ \large{ \frac{7 \cancel{ \sqrt{7} }}{ \cancel{ \sqrt{7} }} = 7}[/tex]

Note that a¹ = a. Therefore, 7¹ = 7.

Answer

7¹ or 7.

monkeys at the zoo eat 4 cups of food every day .elephants eat 76 times as much what is the equation?

Answers

Answer:

304 cups daily

Step-by-step explanation:

4 cups of food (monkeys) multiplied by 76 (amount elephants eats more)

4 x 76

?????????????????????

Answers

Answer:

[tex]\sqrt{x+6}[/tex]

Step-by-step explanation:

So, there are a few things we need to go over to graph a function,

When a number is outside of a root, it changes the y value. For example:

y=[tex]\sqrt{x}+6[/tex]

With the +6, y will always be 6 higher than normal.

If it was -6, then y will always be 6 lower than normal.

What if the number is inside the root? Well, it works a little differently.

Instead of changing the y value, it changes the x value. For example:

y=[tex]\sqrt{x+6}[/tex]

So if you put a number in for x, lets say -6, wht would you get?

You would get -6+6=0

The square root of 0 is 0, so when x=-6, y=0

Normally, x would have to equal 0 for the y value to be 0.

So basically, when we see the number isnide of the root, we can think the our x coordinate being subtracted by that number.

This makes since, because if we subtract the +6 from x:

x-(+6)= x-6, and -6 is our x coordinate.

If it was -6 at the start, this would also work:

x-(-6)= x+6. So our x coordinate would start at 6.

Now, lets look at our graph.

As we can see, the x values start at -6, and the y values starts at 0.

This eliminates A and D, since the +6 would change the y value, not the x.

Remember that x-6 would make x a postive 6.

x+6 however, would make x a negative 6.

So we need x+6 in a square root.

This eliminates B, since it has a x-6, making the x coordinate postive 6, not negative 6.

So c is our answer.

Hope this helps!

Pls answer this needs to be turned in at 3:00 pm today

Answers

it is 14m^2. you can figure this out just by taking areas of the figures separately and adding!

Find the y-intercept of the quadratic function: g(x) = 5х2 + 9x + 4 о (0, 18) (4.0) ООО (0.4) (0,5)​

Answers

Answer:

(0,4)

Step-by-step explanation:

Here, we want to find the y-intercept of the quadratic function

g(x) = 5x^2 + 9x + 4

Mathematically, we know that the y-intercept is the position on the graph where we have x = 0

so, to find the y-intercept value, we have to find g(0)

simply put, we have to substitute the value of 0 for x

Mathematically, we have this as;

g(0) = 5(0)^2 + 9(0) + 4

g(0) = 0 + 0 + 4

g(0) = 4

thus, we have the y-intercept point as (0,4)

pleaaseee explain !!

Answers

Answer:

64

Step-by-step explanation:13+51=64

MARKING BRAINLIEST HELP PLS

Answers

Answer:

R(x) = 3.5x

Step-by-step explanation:

In economics, formula for total revenue is;

Total revenue = quantity sold × price.

In this question;

Let he quantity of drinks sold be x

We are told that the selling price is $3.50 per drinks

Since quantity is "x", then total revenue can be said to be R(x)

Thus;

Total revenue; R(x) = x × 3.50

R(x) = 3.5x

2. Dado un número, la suma de su mitad, su doble y su triple es 55. ¿Qué número es?

Answers

Answer:

English

Step-by-step explanation:

can you speak English plzzz

we need that

Answer:

i dont speak taco ask again in english

Step-by-step explanation:

How do you ratify the denominator for 2/ 2(sqrt2)? When I multiply by sqrt2/sqrt 2 I'm still left with a radical in the denominator.

Answers

Answer: [tex]\dfrac{\sqrt{2}}{2}[/tex]

Step-by-step explanation:

Given

The fraction is [tex]\dfrac{2}{2\sqrt{2}}[/tex]

Making denominator a number, multiply and divide by [tex]\sqrt{2}[/tex]

[tex]\Rightarrow \dfrac{2}{2\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}\\\\\Rightarrow \dfrac{2\sqrt{2}}{2\sqrt{2}\times \sqrt{2}}=\dfrac{2\sqrt{2}}{2\sqrt{2\times 2}}\\\\\text{cancel out the common term 2}\\\\\Rightarrow \dfrac{\sqrt{2}}{2}[/tex]

Find the value of angle y

Answers

Answer:

116

Step-by-step explanation:

116 is parallel to y so that are the same its called corresponding angles

When a transversal cuts two parallel lines, the corresponding angles are equal.

In the given figure, the corresponding angles are 116° and y

So, they are equal

⇒   y = 116°

Again answer this for real

Answers

Answer: 20/300 = 1/15

Hope this helps...

Have a great day.

1 in 15 because if you add all the numbers up it’s 300 and there’s 20 newspapers, 20/300 simplified is 1/15

Type the equation for the graph below.
please help!!!

Answers

Answer:

y = 1sin(3x)

Step-by-step explanation:

y = A sin( (2π/ω)x )

A is amplitude = 1

ω is period = 2π/3

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

y = 1sin( 2π / (2π/3) x)

y = 1sin(3x)

The equation for the graph with a sinusoidal wave, given an amplitude of 1, a period of 2π/3, and a phase shift of 0, is y = sin((2π/3)x).

The equation for a sinusoidal wave can be written as:

y = A * sin(ωx + φ)

In this case, we are given the values of amplitude (A = 1), period (ω = 2π/3), and phase shift (φ = 0).

The amplitude (A) represents the maximum displacement or height of the wave from the center line. In this case, it is 1.

The period (ω) represents the length of one complete cycle of the wave. The period is the reciprocal of the frequency, and in this case, it is 2π/3.

The phase shift (φ) represents any horizontal displacement of the wave. In this case, the phase shift is 0, indicating that the wave starts at its equilibrium position.

Using these values, the equation for the given graph would be:

y = 1 * sin((2π/3)x + 0)

Simplifying it further:

y = sin((2π/3)x)

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Esmerelda flips a coin and draws a card. What is the possibility that she gets “heads” and a black card?

Answers

the possibility of flipping heads is 1 in 2 (1/2)
the possibility of pulling a black card is 26 in 52 (26/52) which equals 1 in 2 (1/2)
multiply those together and you get 1 in 4, 1/4, or a 25%

Answer:

1/4

Step-by-step explanation:

The probability of flipping a coin and landing a heads is 1/2. Their are 26 black cards in a standard deck of 52 cards- 26/52 (1/2). Multiply the fractions to get the probability.

1/2 * 1/2 = 1/4

Find the value of x ​

Answers

Answer:

x=19.78

Step-by-step explanation:

Given triangle:

P=2.0

h=5.9

[tex]sin x=\frac{2.0}{5.9} \\sin x=0.338\\x= sin ^-10.338\\x=19.78^0[/tex]

The organizers want the zip line to have two platforms (towers / anchors). The first platform (on the higher ground) should be about 50 m away from the second platform. The slope length from the top of platform one to the top of platform two should be about 70 m. What would be the angle of depression from platform one to two to the nearest degree?

Answers

Answer:

The angle if depression is 44.4 degree.

Step-by-step explanation:

horizontal distance, d = 50 m

slope length, L = 70 m

The angle of depression is given by

[tex]cos\theta=\frac{d}{L}\\\\cos \theta = \frac{50}{70}\\\\cos \theta = 0.714\\\\\theta = 44.4^o[/tex]

WILL GIVE BRAINIEST ONLY IF YOU GET IT RIGHT!!!!

Answers

the answer is 15! brainliest would be nice
1025 because if you add both numbers to the power of two, that is your answer

find the area of the figure below

A.832in^2
B.768^2
C.416^2
D.384in^2

Answers

The area is the average of the 2 heights times the base, which is:
(24+16)/2*19.2=384 in^2=D

what number represents the same amount as 4 tens+0 ones

Answers

Answer: 40

4 tens= 10+10+10+10=40
and there’s no one’s so it’s just 40

hope that helped!
Y=Mx+b thanks for the pound

Two vertices of a right triangle have the coordinates (-2, 5) and (9, 5). What is the length of the side formed by these vertices?

Answers

Answer:

11 unit

Step-by-step explanation:

Applying,

s = √[(y₂-y₁)²+(x₂-x₁)²]...................... Equation 1

Where s = length of the side formed.

From the question,

Given: x₁ = -2, x₂ = 9, y₁ = 5, y₂ = 5

Substitute these values into equation 1

s = √[(9+2)²+(5-5)²]

s = √(11²)

s = 11 unit.

Hence the length of the side formed by the vertices is 11 unit

The total resistance in a circuit with two parallel resistors is 2 ohms and R1 is 6 ohms. Using the equation for R2, in terms of RT and R1, what is R2 R2 blank is ohms

Answers

Answer:

[tex]R_2[/tex]  is 3 ohms

Step-by-step explanation:

In a circuit containing two resistors [tex]R_1[/tex] and [tex]R_2[/tex] connected together in parallel, the total resistance [tex]R_T[/tex] is given by;

[tex]\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2}[/tex]              ---------(i)

Make [tex]R_2[/tex] subject of the formula;

=> [tex]\frac{1}{R_2} = \frac{1}{R_T} - \frac{1}{R_1}[/tex]  

=> [tex]\frac{1}{R_2} = \frac{R_1 - R_T}{R_TR_1}[/tex]

=>   [tex]{R_2} = \frac{R_TR_1}{R_1 - R_T}[/tex]       ---------------(ii)

From the question,

[tex]R_1[/tex] = 6Ω

[tex]R_T[/tex] = 2Ω

Substitute these values into equation (ii) as follows;

=> [tex]{R_2} = \frac{2*6}{6 - 2}[/tex]

[tex]{R_2} = \frac{12}{4}[/tex]

[tex]R_2[/tex] = 3Ω

Therefore, the value of [tex]R_2[/tex] = 3 ohms or [tex]R_2[/tex] = 3Ω

Answer: is 3 ohms.

Explanation: edmentum/plato :)

choose the pair of sets which is equivalent

Answers

Answer:

set ={Sunday,Monday,Tuesday,Wednesda,Thursda,Friday, Saturday} and set={1,2,3,4,5}

Step-by-step explanation:

To be equivalent, the sets should have the same cardinality.

A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Pie Eating Contest or the Chili Cookoff. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?

Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50. Histogram with title Chili Cookoff, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 30, the second goes to 50, the third goes to 40, and the last goes to 10.

The Chili Cookoff would be more skewed.

The Pie Eating Contest would be more skewed.

The Chili Cookoff would be more symmetrical.

The Pie Eating Contest would be less symmetrical.

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

A) The Chili Cookoff would be more skewed.

keep going! you are doing GREAT!

If mABC=125 and mABD=94 then m DBC, somebody help!

Answers

Answer:

31 degrees

Step-by-step explanation:

Subtract 94 from 125 to get the measure of angle DBC.

In the diagram, PN is perpendicular bisector of AB and is also the ange bisector of ​

Answers

CPD because of the angle bisector theorem

What is the value of this expression when a = 7 and b = -4? 1201 - 6 3 OA. -6 OB. - 31 Oc. 37 D. 6​

Answers

Answer:

OA . -6

Step-by-step explanation:

correct me if I'm wrong

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