The differential equation that has the given slope is: dy/dx = -xy.
<h3>How to find the differential equation that models the situation?</h3>
We have to look at the slope, given in the graph of the solution of the differential equation, and represented by dy/dx. From the graph, we have that:
- In quadrants I and III, in which x and y have the same signal, the differential equation is decreasing, hence the slope is negative.
- In quadrants II and IV, in which x and y have different signals the differential equation is increasing, hence the slope is positive.
The differential equation that is negative when x and y have the same signals and positive when they do not have is given by the following option:
dy/dx = -xy.
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Answer:
Step-by-step explanation:
So we have the inequality:
Divide both sides by 5:
And, we're done!
This means that the solution of the inequality is all values less than or equal to 9.
I hope this helps!
10 kids total
picking Truman would be 1 out of 10 or 1/10
then there would be 9 kids left so picking Ryan would be 1 out of 9 or 1/9
the probability of picking both would be 1/10 * 1/9 = 1/90
Probability of success =
(number of possibilities that would be considered successful)
divided by
(total number of different possible outcomes) .
Total number of different possible outcomes =
total number of different possible values of the last 2 digits
= the quantity of numbers from 00 to 99
= 100 of them .
The number of possibilities that will match your age = only 1 .
Probability that the last 2 digits match your age = 1/100 = 0.01 = 1 % .
