Factor out the common terms 6m - 21p
1 answer:
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Answer:
We conclude that the equation of the line is:
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the data table
x -3 -5 -7 -9 -11
y -16 -26 -36 -46 -56
From the table taking two points
- (-3, -16)
- (-5, -26)
Determining the slope between (-3, -16) and (-5, -26)
Thus, the slope of the line is: m = 5
substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b
-16 = 5(-3) + b
-16 = -15 + b
b = -16+15
b = 1
Thus, the y-intercept b = 1
now substituting m = 5 and b = 1 in the slope-intercept form of the line equation
Therefore, we conclude that the equation of the line is:
Answer:
They are not independent
Step-by-step explanation:
Given
E = Occurrence of 1 on first die
F = Sum of the uppermost occurrence in both die is 5
Required
Are E and F independent
First, we need to list the sample space of a roll of a die
Next, we list out the sample space of F
In (1): the sample space of E is:
So:
In (2): the sample space of F is:
So:
For E and F to be independent:
Substitute values for P(E) and P(F)
This gives:
However, the actual value of P(E and F) is 0.
This is so because and
have 0 common elements:
So:
Compare and
.
These values are not equal.
Hence: the two events are not independent