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3 years ago

To control the traffic during Ramadan month, a Police Sergeant is assigned to control the traffic

Mathematics

1 answer:

m_a_m_a [10]3 years ago

3 0

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:

0
0.2
0.25
0.33

<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).

1 ÷ 4 = 0.25

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

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3(2x+1)=21 <br> Solve this multi-step equation using the distributive property

Tasya [4]

3 (2x + 1) = 21
6x + 3= 21
-3 -3
6x = 18

Divide each side by 6, and x equals 3.

3 (2(3) + 1) = 21
3 (6 + 1) = 21
18 + 3 = 21

Hope this helps! Can I please have brainliest so I can level up? Thank you!

7 0

3 years ago

Two sides of a trapezoidal are 25 meters. The third side is 40 meters. The fourth side is 20 meters shorter than the longest sid

Aloiza [94]

Answer:

110

Step-by-step explanation:

longest side would by 40 so 40 - 20 = 20. Add all the sides up 25+25+40+20=110

3 0

3 years ago

I want solution of ulike unsolved paper 2 Q.23

irakobra [83]

We need the question to help

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3 years ago

Solve the system of equations

rewona [7]

Answer:

x = 1/4

y = -1/2

z = 9/4

Step-by-step explanation:

Here we have a system of 3 equations with 3 variables:

4*x + 2*y + 1 = 1

2*x - y = 1

x + 3*y + z = 1

The first step to solve this, is to isolate one of the variables in one of the equations, let's isolate "y" in the second equation:

2*x - y = 1

2*x - 1 = y

Now that we have an expression equivalent to "y", we can replace this in the other two equations:

4*x + 2*(2*x - 1) + 1 = 1

x + 3*(2*x - 1) + z = 1

Now let's simplify these two equations:

8*x - 1 = 1

7*x - 3 + z = 1

Now, in the first equation we have only the variable x, so we can solve that equation to find the value of x:

8*x - 1 = 1

8*x = 1 + 1 = 2

x = 2/8 = 1/4

Now that we know the value of x, we can replace this in the other equation to find the value of z.

7*(1/4) -3 + z = 1

7/4 - 3 + z = 1

z = 1 + 3 - 7/4

z = 4 - 7/4

z = 16/4 - 7/4 = 9/4

z = 9/4

Now we can use the equation y = 2*x - 1 and the value of x to find the value of y:

y = 2*(1/4) - 1

y = 2/4 - 1

y = 1/2 - 1

y = -1/2

Then the solution is:

x = 1/4

y = -1/2

z = 9/4

7 0

3 years ago

A game of chance has a spinner with five equal-sized sections, The results of 625 spins are shown below. For which color is the

andrew-mc [135]

The color that has the greatest difference between the theoretical and experimental probability is yellow.

<h3>Which color has the greatest difference?
</h3>

Theoretical probability of each color = number of color in each section / total number of sections

1/5 = 0.2

Experimental probability is based on the result of an experiment that has been carried out multiples times

Experimental probability

Experimental probability of choosing orange = 118 / 625 = 0.19

Difference = 0.2 - 0.19 = 0.01

Experimental probability of choosing purple = 137 / 625 = 0.22

Difference 0.22 - 0.2 = 0.02

Experimental probability of choosing brown = 122 / 625 = 0.20

0.2 - 0.2 = 0

Experimental probability of choosing yellow = 106 / 625 = 0.17

0.20 - 0.1696 = 0.0304

Experimental probability of choosing green = 142 / 625 = 0.23

0.2272 - 0.20 = 0.0272

To learn more about experimental probability, please check: brainly.com/question/23722574

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4 0

2 years ago