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Kryger [21]
3 years ago
6

0.66x10 to the 3rd power

Mathematics
2 answers:
11111nata11111 [884]3 years ago
7 0

Answer:

660

Step-by-step explanation:

0.66 x 10^3, you move the decimal point to the front three times and you get 660

Bas_tet [7]3 years ago
4 0
The answer to this is 660
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Of 1000 randomly selected cases of lung cancer, 823 resulted in death within 10 years.
Arada [10]

Answer:

a) 0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799

0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847

The 95% confidence interval would be given by (0.799;0.847)

b) n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79  

And rounded up we have that n=622

c) n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

Step-by-step explanation:

Part a

\hat p=\frac{823}{1000}=0.823

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.823 - 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.799

0.823 + 1.96\sqrt{\frac{0.823(1-0.823)}{1000}}=0.847

The 95% confidence interval would be given by (0.799;0.847)

Part b

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.823(1-0.823)}{(\frac{0.03}{1.96})^2}=621.79  

And rounded up we have that n=622

Part c

n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11  

And rounded up we have that n=1068

5 0
3 years ago
Find the distance between <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B12%7D" id="TexFormula1" title="\frac{7}{12}" alt="\
jek_recluse [69]

Answer:

5/36

Explanation:

Distance on a number line is basically difference between two numbers. So we subtract the two numbers. This can be solved on a calculator btw. 7/12 - √16/81 = 5/36.

3 0
2 years ago
2 = 81 please help lol
djverab [1.8K]

Answer:

40.5 is what they are divided

Step-by-step explanation:

4 0
3 years ago
66/100 simplest friend
tamaranim1 [39]
Assuming you mean simplified, 66/100=33/50, which can be achieved by dividing both the numerator and denominator by 2.
8 0
3 years ago
A radio station claims that the amount of advertising per hour of broadcast time has an average of 10 minutes and a standard dev
podryga [215]

Answer:   -0.36

Step-by-step explanation:

Given: Mean : \mu=10\text{ minutes}

Standard deviation : \sigma=5\text{ minutes}

We know that the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=8.2 minutes, we have

z=\dfrac{8.2-10}{5}=0.36

Hence, the z-score for this amount of advertising time = -0.36

4 0
3 years ago
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