The probability that a senior takes the bus to school every day, given that he or she has a driver’s license is 17%.
<h3>What is Probability?</h3>Probability helps us to know the chances of an event occurring.
As per the rule of conditional probability, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license can be written as,
P(Have License | Takes school bus)
= (Probability the seniors have driver’s licenses and take the bus to school every day) / (Probability of Having a licenses)
= 0.14 / 0.84
= 0.16667 ≈ 17%
Hence, the probability that a senior takes the bus to school every day, given that he or she has a driver’s license is 17%.
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Answer:
Option C. His answer is not correct, because the same can not be less than either attend
Step-by-step explanation:
we have
we know that
substitute
----> is not true
therefore
His answer is not correct, because the same can not be less than either attend
By solving the system of equations, we can see that the solutions are:
(A, B) = (4, 9)
(C, D) = (1, -6).
<h3>How to solve the system of equations?</h3>Here we have the following system of equations:
x^2 - y = 7
y - 5x = -11
If we isolate the variable y in both equations, we get:
y = x^2 - 7
y = -11 + 5x
Now we can equate these two to get:
x^2 - 7 = -11 + 5x
now we have a quadratic equation, this can be rewritten as:
x^2 - 7 + 11 - 5x = 0
x^2 - 5x + 4 = 0
Using the quadratic formula, we will see that the solutions are:
Solving that we get:
So the two solutions for x are:
x = (5 + 3)/2 = 4
x = (5 - 3)/2 = 1
Evaluating the second equation in these x-values we get:
y = -11 + 5*4 = -11 + 20 = 9
y = -11 + 5*1 = -6
Then we have the coordinate pairs: (4, 9) (on the first quadrant) and (1, -6) on the fourth quadrant.
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