Answer:
I am going to say x3
Step-by-step explanation:
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:
118•
Step-by-step explanation:
The interior side lengths are:
90
180-34
180-x
180-x
The sum of these are 360º
90 + 180-34 + 180-x + 180-x = 360
-2x = -236
x = 118º
Answer:
C, y=4.5
Step-by-step explanation:
y=2.5x-3 if you plug in 3 for x and sole the equation its y = 7.5 - 3 so then it's 4.5 equals y.
<h3>
Answer: Perpendicular</h3>
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Work Shown:
Solve the first equation for y
3x+7y = 15
7y = -3x+15
y = (-3x+15)/7
y = (-3/7)x + 15/7
The slope here is -3/7
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Solve the second equation for y
7x-3y = 6
-3y = -7x+6
y = (-7x+6)/(-3)
y = (7/3)x - 2
The slope here is 7/3
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The slopes -3/7 and 7/3 are not equal, so we don't have parallel lines.
The lines however are perpendicular because the slopes multiply to -1
(-3/7)(7/3) = (-3*7)/(7*3) = -21/21 = -1
