Answer:
Option 2
Step-by-step explanation:
When completing the square, you have to find the number that will allow you to find the perfect square trinomials and when you factor that it should get the form a^2 + 2ab + b^2 and if a is equal to 1, then to find b, you have to take the half of the coefficient and square it because of the equation, and to maintain a balanced equation, you have to add it to both sides (same to both sides)
Hope this helped.
Answer:
no
Step-by-step explanation:
because that is not the correct way to calculate percentage
Polygon, 3 straight sides
Answer:
True
Step-by-step explanation:
If two events X and Y are mutually exclusive,
Then,
P(X∪Y) = P(X) + P(Y)
Let A represents the event of a diamond card and B represent the event of a heart card,
We know that,
In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )
That is, those cards which are heart can not be diamond card,
⇒ A ∩ B = ∅
⇒ P(A∩B) = 0
Since, P(A∪B) = P(A) + P(B) - P(A∩B)
⇒ P(A∪B) = P(A) + P(B)
By the above statement,
Events A and B are mutually exclusive,
Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.
Answer:
see explanation
Step-by-step explanation:
To find the terms of the sequence substitute n = 1, 2, 3, 4, 10 into the rule.
n = 1 → 2(1)² = 2(1) = 2
n = 2 → 2(2)² = 2(4) = 8
n = 3 → 2(3)² = 2(9) = 18
n = 4 → 2(4)² = 2(16) = 32
n = 10 → 2(10)² = 2(100) = 200
The first 4 terms are 1, 8, 18, 32 and the 10 th term is 200
