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3 years ago

11

If you are picking a number between 1-20 what is the probability that you will pick a multiple of two or a number greater than 1

5

2 answers:

Alisiya [41]3 years ago

5 0

Multiple of two has a 50 percent chance. greater than 15 is 25 percent. if both it's 10 percent

konstantin123 [22]3 years ago

4 0

5/20 or 1/4 because 20-5=15

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4 years ago

3 times the square root of 28??<br> 3√28

Dovator [93]

First of all, the square root of 28 is 5.3. That is because 5.3*5.3=28.09 but mainly just 28. So now that we know what the square root of 28 is now we can multiply it by 3.

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3 years ago

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Is the environment a major issue with Americans? To answer that question, a researcher conducts a survey of 1255 randomly select

Furkat [3]

Answer:

The point estimate of this proportion is $\pi = 0.5857$

The 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them is (0.5584, 0.6130).

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

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1255, \pi = \frac{735}{1255} = 0.5857$

The point estimate of this proportion is $\pi = 0.5857$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5857 - 1.96\sqrt{\frac{0.5857*0.4143}{1255}} = 0.5584$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5857 + 1.96\sqrt{\frac{0.5857*0.4143}{1255}} = 0.6130$

The 95% confidence interval to estimate the proportion of Americans who feel that the environment is a major issue with them is (0.5584, 0.6130).

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