The events are not independent.
The probability of selecting a football card and a basketball card is 0.16.
<h3>What is the probability?</h3>
Probability is the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability of selecting a football card and a basketball card = (number of football cards / total number of cards) x (number of basketball cards / total number of cards)
2/10 x 8/10 = 0.16
To learn more about probability, please check: brainly.com/question/13234031
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Answer:
The largest side of given triangle is: AB
Step-by-step explanation:
In order to find the largest side, we have to find all the triangles first.
The two angles at point A will sum up to 180° as the angles on the straight line are supplementary.
So,
∠A = 44°
∠C = 71°
The sum of interior angles of a triangle is 180°
Using this:
∠A+∠B+∠C = 180°
44°+∠B+71° = 180°
∠B+115° = 180°
∠B = 180°-115°
∠B = 65°
In a triangle, the side opposite to the largest angle is the largest. In the given triangle, ∠C is the largest so the side AB which is opposite to ∠C is the largest.
Hence,
The largest side of given triangle is: AB
I will show you how to do first one but it is simple addition and subtraction.
7y + 5 + (3 - y)
We just combine like terms
7y - y + 5 + 3
6y + 8
I will do the second one for subtraction
5 + 5q - (3q - 9)
since the subtracroon sign is outsiDr patenthesis you have to apply it to both terms
5 + 5q - 3q + 9
since it was -9 it became --9 which is +9
so:
5q - 3q + 5 + 9
2q + 14
That's a quadratic, a nice parabola in vertex form.
The parabola has a positive x^2 term, so it's a CUP, concave up positive. It will have a minimum at the vertex, which is (2,5). Plot that point.
Now we need a couple of guide points to draw the usual parabola going up from both sides of its vertex. We try x=0 giving (0,9) and see that x=4 also gives 9, (4,9). Plot the parabola through those two points and the vertex and you're done.
