Answer:
The correct answer is A
Step-by-step explanation:
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Answer:
Independent event
Step-by-step explanation:
We have different type of event occurrence: an event could be dependent, independent or mutually exclusive.
Two event are mutually exclusive if disjoint if they cannot both occur at the same time. An example of mutually exclusive event is the set of outcomes of a single coin toss, which can result in either heads or tails, but not both.
Two events are independent if the occurrence of one does not affect the probability of occurrence of the other. Independent Events are not affected by previous events.
Two events are dependent if the occurrence of one does affect the occurrence of the second one.
If you mean "factor over the rational numbers", then this cannot be factored.
Here's why:
The given expression is in the form ax^2+bx+c. We have
a = 3
b = 19
c = 15
Computing the discriminant gives us
d = b^2 - 4ac
d = 19^2 - 4*3*15
d = 181
Note how this discriminant d value is not a perfect square
This directly leads to the original expression not factorable
We can say that the quadratic is prime
If you were to use the quadratic formula, then you should find that the equation 3x^2+19x+15 = 0 leads to two different roots such that each root is not a rational number. This is another path to show that the original quadratic cannot be factored over the rational numbers.
9. there are 22 signs
10. 34.46 square miles
11. 77.9 miles
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