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:
Step-by-step explanation:
The x difference:
8 - 1 = 7
The y difference:
-4 - -7 = 3
Distance:
7² + 3² = 58
√58 ≅ 7.62
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Answer:
Equation: w = (1/8) c
c at w = 44 minutes is 352 minutes
Explanation:
We are given that:
1- Time taken to cycle from library to mall is c minutes
2- Time taken to walk from library to mall is w minutes
3- Time taken to walk = 1/8 time taken to cylcle
Therefore:
w = (1/8) c
Now, we want to find c if w = 44 minutes
All we do is substitute with the w in the equation and get c as follows:
w = (1/8) c
44 = (1/8) c
c = 44*8 = 352 minutes
Hope this helps :)
Line through (a,b) with slope m is
y - b = m(x -a)
Here that's line through (a,b)=(5/3, -7) with slope m=-3/4
y - -7 = (-3/4) (x - 5/3)
Solve for y,
y + 28/4 = (-3/4) x + 5/4
y = (-3/4) x - 23/4
Look at the choices.
Answer: D