1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Write the equation of the line in point-slope form of the given point and slope. This is an essay style question. If you hit the
svp [43]

Answer:

<h3>y + 2 = 3/7(x-7)</h3>

Step-by-step explanation:

The point-slope form of the equation will be expressed as;

y - y0 = m(x-x0) where;

m is the slope

(x0, y0) is the point on the line

Given

Slope m = 3/7

Point (x0, y0) = (7, -2)

Substitute into the equation;

y - y0 = m(x-x0)

y - (-2) = 3/7 (x - 7)

<em>y + 2 = 3/7(x-7)</em>

<em>Hence the equation in point-slope form is y + 2 = 3/7(x-7)</em>

3 0
3 years ago
Two intersecting lines will form how many pairs of congruent angles?
HACTEHA [7]
Two intersecting lines will form 2 pairs of congruent vertical angles. Congruent angles have the same angle measure and vertical angles are opposite angles formed by two intersecting lines. Hope this helps.
7 0
3 years ago
Is a function always a relation
ziro4ka [17]

Answer:

No, to be a function a relation must fulfill two requirements: existence and unicity.

Step-by-step explanation:

  • Existence is a condition that establish that every element of te domain set must be related with some element in the range. Example: if the domain of the function is formed by the elements (1,2,3), and the range is formed by the elements (10,11), the condition is not respected if the element "3" for example, is not linked with 10 or 11 (the two elements of the range set).
  • Unicity is a condition that establish that each element of the domain of a relation must be related with <u>only one</u> element of the range. Following the previous example, if the element "1" of the domain can be linked to both the elements of the range (10,11), the relation is not a function.
3 0
3 years ago
34​% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a
finlep [7]

Answer:

a) There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

b) There is a 71.62% probability that more than two students use credit cards because of the rewards program.

c) There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

Step-by-step explanation:

There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this problem by the binomial distribution.

Binomial probability

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem, we have that:

10 student are sampled, so n = 10

34% of college students say they use credit cards because of the rewards program, so \pi = 0.34

(a) exactly​ two

This is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

There is a 18.73% probability that exactly two students use credit cards because of the rewards program.

(b) more than​ two

This is P(X > 2).

Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities must be 1. So:

P(X \leq 2) + P(X > 2) = 1

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

So

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{10,0}.(0.34)^{0}.(0.66)^{10} = 0.0157

P(X = 1) = C_{10,1}.(0.34)^{1}.(0.66)^{9} = 0.0808

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0157 + 0.0808 + 0.1873 = 0.2838

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.2838 = 0.7162

There is a 71.62% probability that more than two students use credit cards because of the rewards program.

(c) between two and five inclusive

This is:

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.34)^{2}.(0.66)^{8} = 0.1873

P(X = 3) = C_{10,3}.(0.34)^{3}.(0.66)^{7} = 0.2573

P(X = 4) = C_{10,4}.(0.34)^{4}.(0.66)^{6} = 0.2320

P(X = 5) = C_{10,5}.(0.34)^{5}.(0.66)^{5} = 0.1434

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1873 + 0.2573 + 0.2320 + 0.1434 = 0.82

There is a 82% probability that between two and five students, inclusive, use credit cards because of the rewards program.

6 0
3 years ago
Lorrie bought 3 1/2 yards of ribbon. She had 2 feet 6 inches of ribbon left after trimming a banner. How many inches of ribbon d
galina1969 [7]

Answer:

7 ft 11 inches

Step-by-step explanation:

Convert 3 1/2 yards into 10 ft 5 inches.

Subtract 2 ft 6 inches from 10 ft 5 inches.

5 0
3 years ago
Other questions:
  • 3.23 x 1,000? <br> really need your help, plz help me
    10·2 answers
  • What might a model for 3 x 3/5 look like? How many fifths would be shaded in all?
    13·1 answer
  • How do I know what integer the irrational number that was squared is closest to?
    14·1 answer
  • A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 1.5 feet, 30 feet a
    8·1 answer
  • Alana ate breakfast at a restaurant. The bill came to $79.75. If she left 20% tip, how much was the tip?
    7·1 answer
  • !!!WILL MARK THE BRAINIEST!!!
    13·2 answers
  • Describe the end behavior of the graph of the function
    6·1 answer
  • Can someone help? I'm awful at this :/
    8·2 answers
  • By paying $50 cash up front and the balance at $35 a
    14·1 answer
  • Ollie, a young man with insurance coverage, ends up in the hospital with a broken wrist suffered while playing football with a g
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!