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3 years ago

How can I find the corresponding angles?

Mathematics

1 answer:

Alex3 years ago

4 0

It's A.

The corresponding angles are the ones in matching corners (e.g 1 and 5, 2 and 6, etc.).

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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

The diameter of a circle is 12 inches what is the area round to the nearest hundredth

Alisiya [41]

Answer: A≈113.1in²

Step-by-step explanation:

3 0

2 years ago

20. Three cards are selected form a standard deck of cards and not

frozen [14]

We have a probability of $\frac{13}{52}=\frac{1}{4}$ for the first card to be a diamond. Having drawn this first card without replacement, there are now 12 diamonds remaining in a deck of 51 cards, so the probability that the second card is a diamond, given that the first card was a diamond, is $\frac{12}{51}=\frac{4}{17}.$ Similarly, for the third card, there are 11 diamonds in a deck of 50, so the probability of drawing a third diamond is $\frac{11}{50}.$ Now, since these events are dependent, we multiply these three probabilities to get our answer of $\frac{11}{850}.$

6 0

3 years ago

PLZ ANSWER QUICKLY Write an equation that represents the line. Use exact numbers.

denpristay [2]

.......................

5 0

2 years ago

Simplify 6x^3y^9/36x^3y^-2

AnnZ [28]

6x^3y^9/36x^3y^-2 The x^3 values cancel each other out leaving the 1/6
(1/6)y^9/(y^-2) the y^-2 causes the y^9 to turn into y^11 (9+2=11)
(1/6)y^11/1 the 1/6 is multiplied by y^11
y^11/6

5 0

2 years ago