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fredd [130]
2 years ago
9

The variables x=9 and y=15 vary directly. Write an equation that relates the variables

Mathematics
2 answers:
snow_tiger [21]2 years ago
8 0
I love your profile picture 56
erik [133]2 years ago
7 0

Answer:

x = 0.6y.

Step-by-step explanation:

x = ky  is direct variation where k is some constant;

Now we find k:-

Substituting for x and y:

9 = k*15

k = 9/15 = 0.6

So the equation is

x = 0.6y.

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Over [174]

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:

P(B_2/B_1 )  = \frac{P(B_1\cap B_2)}{P(B_1)}

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.

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Putting these values in the formula, we get:

P(B_2/B_1 )  = \frac{P(B_1\cap B_2)}{P(B_1)} = \frac{1}{3}  \times\frac{2}{1} = \frac{2}{3}

⇒ P (B2 / B1)  =  2/3

Hence, there is a  2/3  probability that the other side is also black.

 

5 0
3 years ago
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Monica [59]

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