The solution to the set of equations is (0,2).
Reasoning:
m + 4n = 8 -> 0 + 4(2) = 8
m = n - 2 -> 0 = 2 - 2
If the probability of independent event A is 0.5, then P(A|B) will be 0.5. Then the correct option is B.
<h3>Which pair of events are called independent events?</h3>
When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.
Symbolically, we have:
Two events A and B are said to be independent iff we have:
P(A ∩ B) = P(A)P(B)
Comparing it with chain rule will give
P(A|B) = P(A)
P(B|A) = P(B)
Suppose A and B are dependent events.
If P(A) = 0.5
Then P(A|B) will be
P(A|B) = P(A)
P(A|B) = 0.5
Then the correct option is B.
Learn more about probability here:
brainly.com/question/1210781
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Answer:

Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:

EDIT
Answer: x≤6
Explanation: the total number of hours (x) is less than or equal to 6 hours.
Because if you check my math below where I misread the question and gave a function... LOL
You will see that 7 hours would be too many.
So very sorry for the initial confusion!!
Answer: f(x)=12X-15
Step-by-step explanation:
X represents the number of hours.
F(1)= 12(1)-15 = $-3 or free. In real life I'm sure there'd be a requirement that you rent at least 2 hours to get the discount
Part A.
We could take, for example:

For x ≥ -3 we have vertical line (x-intercept = -3) and shaded region on the right side of the line.
For y ≥ 3 we have horizontal line (y-intercept = 3) and shaded region above that line.
Part B.
Simply, substitute x and y coordinates of D and E <span>to the system of inequalities from part A, and check if its is true, what we get.
</span>

so point D is a solution,

and point E is also a solution to <span>our system of inequalities.
</span>
Part C.
There are two ways we could do that. First is the same as in part B. We substitute x and y coordinates of each school and check if inequality is true or false:


So Timothy can attend schools C and F.
We can also draw a graph of that inequality (pic 2).