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Rashid [163]
3 years ago
6

The system dx dt = −sx + sy dy dt = −xz + rx − y dz dt = xy − bz is the famous Lorenz system. It was developed as a model for we

ather prediction, but it has since become famous because its solutions display chaotic behavior. (a) (2 points) Let b = 8/3, s = 10, and r = 27. Use initial conditions x(0) = −4, y(0) = 5, and z(0) = 10. Use ode45 to solve this system on 0 ≤ t ≤ 30. Plot x(t). (b) (1 point) Change one of the initial conditions by 0.1, and solve it again. How do the two solutions for x(t) compare? This is an example of the chaotic behavior of this system of equations. (c) (2 points) Plot the 3D trajectory. Use the plot3 command with the x(t), y(t), and z(t) arrays as arguments. You will see the famous Lorenz strange attractor. Rotate it around a bit, and turn in a plot of an angle you like.
Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

Answer:67

Step-by-step explanation:cause id no not know

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Assume that we have two events, and , that are mutually exclusive. Assume further that we know and . If an amount is zero, enter
sweet [91]

Answer:

Explained below.

Step-by-step explanation:

The complete question is:

Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.30 and P(B) =0.40.

What is P(A and B)?

What is P(A | B)?

Is P(A | B) equal to P(A)?

Are events A and B dependent or independent?

A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Is this statement accurate?

What general conclusion would you make about mutually exclusive and independent events given the results of this problem?

Solution:

The probability of the two events <em>A</em> and <em>B</em> are:

P(A) = 0.30 and P(B) =0.40

(a)

Compute the value of P (A ∩ B) as follows:

P(A\cap B)=0

This is because mutually exclusive events are those events that cannot occur together.

(b)

Compute the value of P (A | B) as follows:

P(A|B)=\frac{P(A\cap B)}{P(B)}=\frac{0}{0.40}=0

Thus, the value of P (A | B) is 0.

(c)

No, P (A | B) is not equal to the P (A).

(d)

As mentioned in part (a), mutually exclusive events are those events which cannot occur together.

That is, P(A\cap B)=0.

Events A and B are independent  if the chance of their concurrent happening is equivalent to the multiplication of their distinct probabilities.

That is, P(A\cap B)=P(A)\times P(B).

The concepts of mutually exclusive events and independent events are not the same.

(e)

As the it is provided that A and B are mutually exclusive events, we know that P(A\cap B)=0.

Now compute the value of P(A)\times P(B) as follows:

               P(A)\times P(B)=0.30\times 0.40=0.12\neq 0

Thus, the events A and B are not independent.

Thus, if two events are mutually exclusive events they cannot be independent.

4 0
3 years ago
If you multiply two integers together and then add 4, the result is 40. Which of the following could NOT be the sum of the two n
marta [7]

Answer:

18

Step-by-step explanation:

xy + 4 = 40

xy = 40 - 4

xy = 36

What two numbers can b multiplied to give 36? Then add them.

9 + 4 = 13

18 + 2 = 20

6 + 6 = 12

12 + 3 = 15

The odd option is 18

6 0
3 years ago
Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17?
Zinaida [17]

Answer:

(-3, -4).

Step-by-step explanation:

-4x + y = 8

x - 5y = 17           Multiply this by 4:

4x - 20y = 68     Add this to the first equation:

-19y = 76

y = 76/-19

y = -4.

Plug this into the second equation:

x - 5(-4) = 17

x = 17 - 20

x = -3.

CHECK this result in equation 1:

-4(-3) + -4 =  8

12 - 4 = 8

8 = 8  <------ OK.

8 0
3 years ago
HELP PLEASE I DONT KNOW HOW TO DO THIS PLS HELP!!!
insens350 [35]
16 represents the # of small pair of gloves and 2 is the # of large pair of gloves
5 0
3 years ago
Find the area of the polygon.
Katen [24]

Answer:

12 x 24 = 288

32 - 24 = 8

8 x 12 = 96

96 divided by 2 = 48

288 + 48 = 336 ft2 is your answer.

6 0
3 years ago
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