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Molodets [167]
3 years ago
10

Consider the following systems of rate of change equations:System A(dx/dt)= 3x(1-(x/10))- 20xy(dy/dt)= -5y+(xy/20)System B(dx/dt

)= 0.3x-(xy/100)(dy/dt)= 15y(1-(y/17))+25xyIn both of these systems, x and y refer to the number of two different species at time t. In particular, in one of these systems the prey are large animals and the predators are small animals, such as piranhas and humans. Thus it takes many predators to eat one prey, but each prey eaten is a tremendous benefit for the predator population. The other system has very large predators and very small prey.
Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Answer:

Knowing others is intelligence; knowing yourself is true wisdom. mastering others is strength; mastering yourself is true power. if you realize that you have enough, you are truly rich, "And the cause of not following your heart, is in spending the rest of your life wishing you had."

Explanation:

I need points so SORRY!

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Can someone please solve this using quadratic formula <br><br> 2x^2 -7x -15=0
saw5 [17]

Step-by-step explanation:

a=2

b=-7

c=-15

-(-7)+-sq root (-7)²-4(2)(-15) / 2(2)

7 +- sq root 169 / 4

7+- 13 / 4

7+13 / 4, 7-13 / 4

x=5 x=-3/2

7 0
3 years ago
This problem demonstrates the concept of redundancy, the principle of improving reliability of systems by using redundant or bac
AysviL [449]

Answer:

hello,

Step-by-step explanation:

a)

p(fail)=0.05

p(not fail)=1-0.05=0.95

b)

p(3 fails)=0.05³=0,000125

c)

p(1 or more system not fail)=1-0.05³=0.999875

d)

it increase the security.( here  4/100 for 3 systems)

3 0
3 years ago
Nick can do a certain job in 3 hours less than it takes bonnie to do the same job. If they complete the job together in 9 hours,
il63 [147K]

Answer:

Step-by-step explanation:

Let the number of hours Nick does the job alone to be x - 3 hours

Hence, in 1 hour, Nick has done 1/x - 3

Together they complete the job in 9 hours

Hence, let's represent the job as 1

9/x + 9/x - 3 = 1

Multiply through by (x)(x-3)

9(x- 3) + 9(x) = 1

9x - 27 + 9x = (x)(x-3)

-27 = x² - 3x

x² - 3x +27 = 0

4 0
3 years ago
O
VMariaS [17]
The slope is the slope :D
4 0
3 years ago
Read 2 more answers
Suppose the number of messages that an inbox receives may be modeled by a Poisson distribution. If the average number of message
docker41 [41]

Answer:

0.36427

Step-by-step explanation:

Mean = λ = 18 messages per hour

P(X = x) = (e^-λ)(λ⁻ˣ)/x!

P(X ≤ x) = Σ (e^-λ)(λ⁻ˣ)/x! (Summation From 0 to x)

But the probability required is that the messages thay come in an hour is between 15 and 20, that is, P(15 < X < 20)

P(15 < X < 20) = P(X < 20) - P(X ≤ 15)

These probabilities will be evaluated using a cumulative frequency calculator.

P(X < 20) = 0.65092

P(X ≤ 15) = poissoncdf(18, 15) = 0.28665

P(15 < X < 20) = P(X < 20) - P(X ≤ 15) = 0.65092 - 0.28665 = 0.36427.

You can use the Poisson distribution calculator here

https://stattrek.com/online-calculator/poisson.aspx

4 0
3 years ago
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