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sergejj [24]
3 years ago
12

Can someone help me?

Mathematics
1 answer:
hoa [83]3 years ago
5 0

Answer:

Step-by-step explanation:

If arccos (√3 / 2) = β, then cos β = adjacent side / hypotenuse = √3 / 2.  This tells us immediately that the adjacent side length is √3 and the hypotenuse is 2.  Via the Pythagorean Theorem, we know that the third side is 1.  

This information rules out the 1st and 3rd answer choices.

Because cos 30° = adj / hyp = √3 / 2, we can conclude that the correct answer is the 4th one:  30°, 60°, 90°

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In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes
ale4655 [162]

Answer:

The sample mean is \bar{x}=14.371 min.

The sample standard deviation is \sigma = 18.889 min.

Step-by-step explanation:

We have the following data set:

\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

\bar{x} = \frac{{\sum}x}{n}

where, n is the number of values in the data set.

\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }

The mean of a sample is  \bar{x}=14.371.

Create the below table.

Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889

7 0
3 years ago
HELP QUICK LIKE RIGHT NOW!please
pogonyaev

Answer:

1/2 = 1/2

Step-by-step explanation:

5/10 is equal to 1/2 and 1/2 cant get smaller making you answer 1/2 = 1/2

8 0
3 years ago
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(5x10^10) (5x10^5) in scientific notation​
ss7ja [257]

Answer:

2.5e+16

Step-by-step explanation:

8 0
3 years ago
What is the value of x in these questions
Mademuasel [1]

Answer:

a X=12

B X=4

C X=7

D X=24

E X=20

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3 years ago
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3 more than twice a number is 17 (how do I translate into a equation?)
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U need to convert it
8 0
3 years ago
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