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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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vaieri [72.5K]

1/4 is equal to 0.25

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2 years ago
A curve is given by y=(x-a)√(x-b) for x≥b, where a and b are constants, cuts the x axis at A where x=b+1. Show that the gradient
ankoles [38]

<u>Answer:</u>

A curve is given by y=(x-a)√(x-b) for x≥b. The gradient of the curve at A is 1.

<u>Solution:</u>

We need to show that the gradient of the curve at A is 1

Here given that ,

y=(x-a) \sqrt{(x-b)}  --- equation 1

Also, according to question at point A (b+1,0)

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0=(b+1-a) \sqrt{(b+1-b)}

0=b+1-c --- equation 2

According to multiple rule of Differentiation,

y^{\prime}=u^{\prime} y+y^{\prime} u

so, we get

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y^{\prime}=1 \times \sqrt{(x-b)}+(x-a) \times \frac{1}{2} \sqrt{(x-b)}

By putting value of point A and putting value of eq 2 we get

y^{\prime}=\sqrt{(b+1-b)}+(b+1-a) \times \frac{1}{2} \sqrt{(b+1-b)}

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2 years ago
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Tema [17]
Given:
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Each car has 4 columns
And 1 column hold 50 passengers

So, total of seats will be = 6 * 4 * 50 = 1200

Now, there are 25 empty seats, 

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Number of seats per car: 4 × 50 = 200

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P = -16

Subtract 7 from both sides to isolate the variable.

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