A relationship between two variables in which the product is a constant. When one variable increases the other decreases in proportion so that the product is unchanged. If b is inversely proportional to a, the equation is of the form b = k/a (where k is a constant). Equation: y = 60/x
3x^2(4x^3)^3
3x^2*4^3x^9
3*4^3x^11
192x^11
Because all outcomes are equally weighted, the probability you are looking for is given by :-
Number of favorable eventsTotal number of events
Number of favorable events
Total number of events
In your case: 6 or Even outcome={2,4,6}
6
or Even outcome
=
{
2
,
4
,
6
}
and Outcomes={1,2,3,4,5,6}
Outcomes
=
{
1
,
2
,
3
,
4
,
5
,
6
}
Hence:
Number of favourable eventsTotal number of events=36=12
The equation in slope-intercept form is y = 13/8x -17/8 and the equation in standard form is 13x -8y = 17
<h3>Equation of a line</h3>
A line is the shortest distance between two points. The equation of a line in slope-intercept form is y = mx + b while as a standard notation is Ax+By = C
Given the coordinate points (-3, -7) and (5, 6)
<u>Determine the slope</u>
Slope = 6-(-7)/5-(-3)
Slope = 13/8
<u>For the y-intercept</u>
6 = 13/8(5) + b
6 = 65/8 + b
b = 6 - 65/8
b = -17/8
The equation in slope-intercept form is y = 13/8x -17/8
Write in standard form
Recall y = 13/8x - 17/8
<em>Multiply through by 8</em>
8y = 13x - 17
-13x + 8y = -17
13x -8y = 17
Hence the equation in standard form is 13x -8y = 17
Learn more on equation of a line here: brainly.com/question/13763238
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Answer:
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