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3 years ago

7

PLEASE HELP ASAP! The interior angles of a triangle have measures 100°,(4y+25)degrees and (3y+20) degrees. What is the value of

y?

1 answer:

erastova [34]3 years ago

7 0

100°+(4y+25)+(3y+20)=180°

100+4y+25+3y+20=180

7y+145=180

7y=35

y=5

100°; 45°; 35°

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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.

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

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

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3 years ago

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Kazeer [188]

Answer:

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Step-by-step explanation:

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3 years ago

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3241004551 [841]

Answer:

Hey there!

The answer is 2 1/4, which is 2.25

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3 years ago

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Here are the endpoints of the segments BC, FG, and JK.<br> B, −67

yulyashka [42]

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2 years ago

By hiring 45 new employees, a department store increased its help by 18% during the Christmas season. How many employees did the

bagirrra123 [75]

Hi!

We can set up a proportion then cross multiply to solve this.

$\frac{45}{x} \frac{18}{100}$

45 x 100 = 4500
4500/18 = 250

The answer is 250

Hope this helps! :)

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3 years ago