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dedylja [7]
3 years ago
11

A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er

ror for this survey if we want 90% confidence in our estimate of the percentage of American adults who approve of cloning endangered animals.
Mathematics
1 answer:
Kobotan [32]3 years ago
3 0

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

\hat{p} = 89\% = 0.89

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting the values, we get:

M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016

Thus, the margin of error for the survey is 0.016

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Which ordered pairs are solutions to the inequality 2x-y>1?
RideAnS [48]

Answer:

Any points in the shaded region including (2,-2) and (-3,-8)

Step-by-step explanation:

Convert the line into slope intercept form and graph it.

2x-y > 1 becomes -y>1-2x. Divide both sides by -1 and you get y<2x-1. Graph it with the shaded area on the right and a dashed line.

Any point which falls within the shaded red of the graph is a solution. No points on the line since it is not equal to (its dashed) are solutions. Check the location of your points to verify that they fall within this area.

(-3, -8)  ---Yes

(-1, -3)  ---No

(0, 5)  --- No

(1, 6)  --- No

(2, -2) ---Yes

8 0
3 years ago
Jerry solved the system of equations. x minus 3 y = 1. 7 x + 2 y = 7. As the first step, he decided to solve for y in the second
Reika [66]

Answer:

A. The variable x in the first equation has a coefficient of one so there will be fewer steps to the solution.

Step-by-step explanation:

Given

Equation\ 1: x - 3y = 1

Equation\ 2: 7x + 2y = 7

Required

Efficient way of solving the equations

<em>The efficient way of solving this problem is by solving for x in the first equation because it has a coefficient of 1;</em>

The evidence is shown as follows;

<em>Make x the subject of formula in equation 1</em>

x = 1 + 3y

<em>Substitute 1 + 3y for x in equation 2</em>

7x + 2y = 7

7(1 + 3y) + 2y = 7

<em>Open bracket</em>

7 + 21y + 2y = 7

7 + 23y =7

<em>Make y the subject of formula</em>

23y = 7 - 7

23y = 0

<em>Divide both sides by 23</em>

\frac{23y}{23} = \frac{0}{23}

y = 0

Recall that x = 1 + 3y

<em>Substitute 0 for y in the above expression</em>

x = 1 + 3(0)

x = 1 + 0

x = 1

Solving for y in the second equation will take more steps

6 0
3 years ago
a store clerk has 45 shirts to pack inboxes. Each box holds 6 shirts . What is the fewest boxes the clerk will need to pack all
statuscvo [17]

Answer:

8

Step-by-step explanation:

45/6=7.5

so 8 boxes

4 0
3 years ago
Explain why the two figures below are not similar. Use complete sentences and provide evidence to support your explanation.
jonny [76]

They are not similar because one is bigger than the other one. Also, some of the sides are longer than the ones on the other side making them a slightly different shape.

3 0
2 years ago
Read 2 more answers
Given the vector "v" and its inital point, find the terminal point:
katovenus [111]

The final point can be done by simple vector addition. Just add the corresponding components.

Final point: (4 + -1, 2 + 3) = (3, 5).

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
5 0
2 years ago
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