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Kamila [148]
3 years ago
12

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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If the subspace of all solutions of Ax 0 has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A
Nuetrik [128]

Question: If the subspace of all solutions of

Ax = 0

has a basis consisting of vectors and if A is a ​matrix, what is the rank of​ A.

Note: The rank of A can only be determined if the dimension of the matrix A is given, and the number of vectors is known. Here in this question, neither the dimension, nor the number of vectors is given.

Assume: The number of vectors is 3, and the dimension is 5 × 8.

Answer:

The rank of the matrix A is 5.

Step-by-step explanation:

In the standard basis of the linear transformation:

f : R^8 → R^5, x↦Ax

the matrix A is a representation.

and the dimension of kernel of A, written as dim(kerA) is 3.

By the rank-nullity theorem, rank of matrix A is equal to the subtraction of the dimension of the kernel of A from the dimension of R^8.

That is:

rank(A) = dim(R^8) - dim(kerA)

= 8 - 3

= 5

4 0
4 years ago
The minute hand of a clock is 7 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the
FromTheMoon [43]

The movement of the minute hand is circular.

Tangence speed is V=2Rπ/T= 2*7*3.14/3600 inches/sec=0.012211 inches/sec

The path (distance) that minute hand past is D=V*t = 0.012211 * 5 min= 0.012211 * 300sec=>

D=3.663≈3.66 inches

Good luck!!!

6 0
3 years ago
Jada rode her bike at a constant speed for 3 hours. During that time, she traveled 7.2 miles. What was Jada's riding speed?
NeTakaya

Answer: 2.4 miles per hour

Step-by-step explanation: just do 7.2/3=2.4

or another way you could do this is do 2.4 x 3=7.2

3 0
3 years ago
WILL MARK AS BRAINLIEST FOR GOOD WORKING AND CORRECT ANSWER PLEASE HELP ME
Feliz [49]

ANSWER

My answer is in the photo above

EXPLANATION

For all the equations I have used the cross multiplication method although you can also use the LCM method

6 0
3 years ago
Parallel to y=2/3x+4 and goes through (-9,-2)
Ostrovityanka [42]
Hey there :)

y = \frac{2}{3}x + 4

Since this line is parallel to the line to be found, both have the same slope: \frac{2}{3}

Coordinates: ( - 9 , - 2 )

y - ( -2 ) = \frac{2}{3} ( x - ( -9 ) )
y + 2 = \frac{2}{3} x + 6
y = \frac{2}{3} x + 6 - 2

y = \frac{2}{3}x + 4


8 0
3 years ago
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