To complete the table it is necessary to know the possibilities that the sergeant has to change or remain in an intersection. The probabilities (depending on the box) are:
<h3>How to calculate the probability of intersection change?
</h3>
To know the probability of intersection change, it is necessary to locate the police officer at one of the intersections. Subsequently, count how many possibilities of change you have, for example: 3 possibilities and finally add the possibility of remaining in the intersection as shown below:
- Intersection 3 has 3 possibilities of changing towards intersections 2, 8 and 4. Additionally, it has the possibility of staying at intersection 3, that is, it has 4 possible decisions.
To know the probability we divide the number 1 (because it is only a decision that we have to make) and divide it by the number of possibilities (4).
According to the image we can infer that in some intersections they only have 3, 4 and 5 possibilities, so the probability of change will be different as shown below:
- 1 ÷ 3 = 0.33
- 1 ÷ 4 = 0.25
- 1 ÷ 5 = 0.2
Learn more about probabilities in: brainly.com/question/8069952
The equation represents the line that passes through (–6, 7) and (–3, 6)
.
<h3>What is the slope of the equation?</h3>
For all lines in slope y-intercept form, it would be very simple to just find the answer by finding yourself the slope and y-intercept of the line in question.
The slope of the line is;

The equation represents the line that passes through (–6, 7) and (–3, 6) is;

The required line of the equation is;

Hence, the equation represents the line that passes through (–6, 7) and (–3, 6)
.
To know more about the equation of line click the link given below.
brainly.com/question/8955867
Please put the image so I can see and help.
Here, angle (3x-1) is supplementary with 5x, so their sum would be equal to 180
3x - 1 + 5x = 180
8x = 180 + 1
x = 181/8
x = 22.625
Hope this helps!