Theoretical probability is approximated by conducting trials and recording the ratio for the number of occurrences of the event
1 answer:
You might be interested in
Answer:
(0, 1).
Method 1 (Substitution):
Substituting our two y's, we get the following:
Thus, the only set of solutions is (0, 1). A quick sketch (either by hand or on Desmos) can confirm this.
Method 2 (Elimination):
We have two equations. We'll let the top one be equation 1 and the bottom one be equation 2. Eliminating as many variables as we can, we subtract (2) from (1) to get:
0 = 3x => x = 0.
So the only set of solutions is (0, 1).
Method 3 (Gaussian elimination):
We can place this in an augmented matrix and row reduce.
Row reducing this gives us:
This tells us that the only solution for x is x = 0 (since we read this as "3x = 0") and thus, the only solution we get is (0, 1).
(1) y intercept= 4
and equation of line
y= 2x/3 + 4
Let's call the width and the length
based on this, we can make two equations based on the first and second sentences in the problem.
If we substitute for
into the second equation, we can make the following:
- Substitute
- Use the Distributive Property
- Combine like terms
- Subtract 4 from both sides
- Divide both sides by 4 and simplify
Now, let's find :
The length of the rectangle is and the width of the rectangle is
.