Answer:
There is a 2/3 probability that the other side is also black.
Step-by-step explanation:
Here let B1: Event of picking a card that has a black side
B2: Event of picking a card that has BOTH black side.
Now, by the CONDITIONAL PROBABILITY:
Now, as EXACTLY ONE CARD has both sides BLACK in three cards.
⇒ P (B1 ∩ B2) = 1 /3
Also, Out if total 6 sides of cards, 3 are BLACK from one side.
⇒ P (B1 ) = 3 /6 = 1/2
Putting these values in the formula, we get:
⇒ P (B2 / B1) = 2/3
Hence, there is a 2/3 probability that the other side is also black.
Answer:3.1105
Step-by-step explanation:
Factor trees are very simple. Like for example. 4
2 2
1 1
It is the multiples of the number you originate from.
If f(x)=x²+2 and g(x)=x²+5 then the domain of the (fog) (x) is (-∞,∞).
Given the f(x)=x²+2 and g(x)=x²+5
We have to find the domain of the (fog) (x)
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
then,(fog) (x)= (x²+5)²+ 2
=x⁴+25+10x²+2
= x⁴+27+10x²
Now on any real value of x the value of (fog) (x) exists therefore (fog) (x) can take all the values of the real number.
So domain (fog) (x)= (-∞,∞).
Learn more about the domain here: brainly.com/question/26098895
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The length of SR is 10 inches ⇒ answer B
Step-by-step explanation:
The median of a triangle is the segment drawn from one vertex to
the mid-point of the opposite side to this vertex
In Δ PQR
1. QS is a median
2. RT is a median
We need to find the length of SR
∵ QS is a median in Δ PQR
∵ PR is the opposite side to vertex Q
∴ S is the mid-point PR
∴ PS = SR
∵ PS = 4x - 2
∵ SR = 2x + 4
∴ 4x - 2 = 2x + 4
- Subtract 2x from both sides
∴ 2x - 2 = 4
- Add 2 to both sides
∴ 2x = 6
- Divide both sides by 2
∴ x = 3
Substitute the value of x in the expression of SR
∵ SR = 2x + 4
∵ x = 3
∴ SR = 2(3) + 4
∴ SR = 6 + 4
∴ SR = 10 inches
The length of SR is 10 inches
Learn more:
You can learn more about triangles in brainly.com/question/3358617
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