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timofeeve [1]
3 years ago
6

84 - 3 . (17. (60 - 15)]

Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

84−3(17(60−15))

=84−3(17)(45)

=84−(3)(765)

=84−2295

=−2211

Hope this Helped!

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A church group is interested in estimating the true proportion of Americans who attend weekly religious services. How large a sa
artcher [175]

Answer:

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

We can use an estimatior for the population proportion as \hat p=0.5 since we don't know previous info. And replacing into equation (b) the values from part a we got:

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:

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 the confidence level is 99%, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.005. And the critical value would be given by:

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

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)  

We can use an estimatior for the population proportion as \hat p=0.5 since we don't know previous info. And replacing into equation (b) the values from part a we got:

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Answer:

For K=0

cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0

For K=1:

cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510

For K=2:

cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587

For K=3:

cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587

For K=4:

cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510

Step-by-step explanation:

Fifth Root is given by:

\sqrt[5]{z}=1+0i

The above equation will become:

z=(1+0i)^5

It can be written as:

z=[cos(0)+isin(0)]^5

|z|=1,

According to De-moivre's Theorem:

z=cos(\frac{0}{5})+isin(\frac{0}{5})\\  z=cos(0)+isin(0)

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For K=0

cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0

For K=1:

cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510

For K=2:

cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587

For K=3:

cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587

For K=4:

cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510

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Answer:

35°, how far above the ground is: the kite? 4 q. 0tt. "S. 'K,' ... 13. A ladder 14 feet long rests against the side ofa building. Thebase of the ladder rests on level ground ... A 24-foot ladder leaning against a building forms an 18° angle with the side of the building.


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