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3 years ago

6 * 10^8 is how many times as large as 2 * 10^3

Mathematics

2 answers:

REY [17]3 years ago

6 0

Answer:

300000 or 3 * 10^5

Maslowich3 years ago

5 0

Hope this helps good luck

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Kim wants to determine a 90 percent confidence interval for the true proportion of high school students in the area who attend t

PolarNik [594]

Answer:

We need a sample of at least 752 students.

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 $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

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

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a pvalue of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How large of a sample must she have to get a margin of error less than 0.03

We need a sample of at least n students.

n is found when M = 0.03.

We have no information about the true proportion, so we use $\pi = 0.5$ .

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

$0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}$

$0.03\sqrt{n} = 1.645*0.5$

$\sqrt{n} = \frac{1.645*0.5}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.645*0.5}{0.03})^{2}$

$n = 751.67$

Rounding up

We need a sample of at least 752 students.

6 0

4 years ago

What is the volume (in cubic centimeters) of a cube with 4cm sides?

vova2212 [387]

I think it is 64 just multiply 4 times 4 times 4 because of the sides and to find volume you need to multiply the sides and the height so it should be 64.

8 0

3 years ago

Passe os números a seguir para notação científica.

Naddika [18.5K]

Answer:

$a)105=1.05 \times 10^2\\b)0.0019=1.9 \times 10^{-3}\\c)6 590 000 000 000 000=6.59 \times 10^{15}\\d)0.000000000016=1.6 \times 10^{11}$