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IrinaVladis [17]
3 years ago
15

Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians HELP!

Mathematics
1 answer:
bixtya [17]3 years ago
8 0
In degrees: 3π/4 radians = 135°
Angle of x=135° is in the 2nd Quadrant and has negative cos x values and positive sin x values.
cos 135° = cos ( 90° + 45°)= - sin 45° =- \frac{ \sqrt{2} }{2}
sin 135° = sin ( 90° + 45° ) = cos 45° =\frac{ \sqrt{2} }{2}. You can also see the graph in the attachment. 
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How can you describe the solution 16x^2-8x+1=0
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2 years ago
A group of 59 randomly selected students have a mean score of 29.5 with a standard
algol [13]

Answer:

29.5-1.671\frac{5.2}{\sqrt{59}}=28.37    

29.5+1.671\frac{5.2}{\sqrt{59}}=30.63    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

\bar X = 29.5 represent the sample mean

\mu population mean  

s= 5.2 represent the sample standard deviation

n=59 represent the sample size  

Confidence interval

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The degrees of freedom are given by:

df=n-1=59-1=58

The Confidence interval is 0.90 or 90%, the significance is \alpha=0.1 and \alpha/2 =0.05, and the critical value is t_{\alpha/2}=1.671

Now we have everything in order to replace into formula (1):

29.5-1.671\frac{5.2}{\sqrt{59}}=28.37    

29.5+1.671\frac{5.2}{\sqrt{59}}=30.63    

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

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2 years ago
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Answer:

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Step-by-step explanation:

There's attached work for explanation

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