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Assoli18 [71]
3 years ago
15

What is the y intercept of the function f(x)=2 x 3^x

Mathematics
1 answer:
Lelechka [254]3 years ago
5 0

Answer:

(0,2)

Step-by-step explanation:

by substituting 0 for x you can find the y-intercept

f(x)=2*3^x

f(x)=2*3^0

f(x)=2*1

f(x)=2

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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i
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Answer:

a) We need a sample size of at least 3109.

b) We need a sample size of at least 4145.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

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The margin of error is:

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(a) he uses a previous estimate of 25​%?

we need a sample of size at least n.

n is found when M = 0.02, \pi = 0.25. So

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

0.02 = 2.575\sqrt{\frac{0.25*0.75}{n}}

0.02\sqrt{n} = 2.575\sqrt{0.25*0.75}

\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.02}

(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.25*0.75}}{0.02})^{2}

n = 3108.1

We need a sample size of at least 3109.

(b) he does not use any prior​ estimates?

When we do not use any prior estimate, we use \pi = 0.5

So

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

0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 2.575\sqrt{0.5*0.5}

\sqrt{n} = \frac{2.575\sqrt{0.5*0.5}}{0.02}

(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.5*0.5}}{0.02})^{2}

n = 4144.1

Rounding up

We need a sample size of at least 4145.

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