List A contains the numbers [20,10,30], while list B contains the numbers [10,30,20,40,30]. We choose one number from list A ran
1 answer:
Chance that the number we drew from list A is larger than or equal to the number we drew from list B is as
Number chosen is 30:
Number chosen is 10:
Number chosen is 20:
<u>Step-by-step explanation:</u>
We have , List A contains the numbers [20,10,30], while list B contains the numbers [10,30,20,40,30]. We choose one number from list A randomly and one number from list B randomly. Let's assume 3 cases for above problem:
Number chosen is 20:
We compare that 20 from list A is greater than or equal to 10 , 20 in list B . So probability that this number drew from list A is larger than or equal to the number we drew from list B is .
Number chosen is 10:
We compare that 10 from list A is greater than or equal to 10 in list B . So probability that this number drew from list A is larger than or equal to the number we drew from list B is .
Number chosen is 30:
We compare that 30 from list A is greater than or equal to 10 , 20, 30,30 in list B . So probability that this number drew from list A is larger than or equal to the number we drew from list B is .
∴ Chance that the number we drew from list A is larger than or equal to the number we drew from list B is as
Number chosen is 30:
Number chosen is 10:
Number chosen is 20:
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Two equations will be called independent if their graphs touch only on one point (they have one solution for the x-value and one solution for the y-value), and two equations will be dependent if they touch at every point (there is an infinite number of solutions).
This definition of independent and dependent equations is shown in the following diagram. Consider that there are two lines, one red line and one blue line:
They are independent if they touch only on one point and dependent if they touch at every point (they are the same line).
In our case, we are asked to write an equation in order to create an independent consistent linear system.
Note: Consistent means that the system has a solution.
First, we graph the given equation:
There are many different equations that will form an independent consistent linear system with this equation.
We are going to choose the following line equation:
Because when we graph this equation next to the previous line:
We can see that they touch at one point, thus there is a solution and the system is independent --> we have created an independent consistent linear system.
Answer:
