Answer:
P(draw a blue or red marble) = ![\frac{16}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B21%7D)
Step-by-step explanation:
The bag contains 8 blue, 5 green, and 8 red marbles
Total number of marbles is 8 + 5 + 8 = 21
P(draw a blue or red marble) = P(blue marble) or P(red marble)
In probability,"Or" means addition (+)
So, P(draw a blue or red marble) = P(blue marble) + P(red marble)
P(draw a blue or red marble) =
+
= ![\frac{16}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B21%7D)
P(draw a blue or red marble) = ![\frac{16}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B21%7D)
Answer:
Upper P (Upper A or Upper B ) = 0.59
Step-by-step explanation:
We have that:
![P(A) = 0.48](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.48)
![P(B) = 0.23](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.23)
![P(A \cap B) = 0.12](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.12)
The question asks:
![P(A \cup B)](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29)
According to the set theory, it is
![P(A \cup B) = P(A) + P(B) - P(A \cap B)](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%20%5Ccap%20B%29)
Then
![P(A \cup B) = 0.48 + 0.23 - 0.12 = 0.59](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%200.48%20%2B%200.23%20-%200.12%20%3D%200.59)
Answer:
I cannot view the picture so I will tell you the formula
Step-by-step explanation:
Multiply the base by the height and divide the product by two.
Answer:
B) (2x + 3)(2x - 3)
Step-by-step explanation:
Use the FOIL method for each answer choice.
FOIL = First, Outside, Inside, Last
(2x)(2x) = 4x²
(2x)(-3) = -6x
(3)(2x) = 6x
(3)(-3) = -9
4x² -6x +6x -9
Simplify. Combine like terms:
4x² (-6x + 6x) - 9
4x² - 9
4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer
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