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3 years ago

Find the X- and y-intercept of the line. 2x + 3y = -18

Mathematics

2 answers:

svetlana [45]3 years ago

6 0

Answer:

x-intercept = -9

y-intercept = -6

Step-by-step explanation:

The equation is

=> 2x+3y = -18

Finding x-intercept

Let's assume y = 0

The equation becomes

=> 2x = -18

Dividing both sides by 2

=> x = -9

Finding y-intercept:

Let's assume x = 0

The equation becomes

=> 3y = -18

Dividing both sides by 3

=> y = -6

Bad White [126]3 years ago

3 0

Answer: x = -9, y = -6

y = mx + b

2x + 3y = -18

Assuming x = 0

2(0) + 3y = -18

y = -6

Assuming y = 0

2x + 3(0) = -18

x = -9

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3 years ago

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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

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