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Andreas93 [3]
3 years ago
11

Each face of a six-sided cube is painted a different color. The cube is rolled twice and a coin is flipped. How many different p

ossible outcomes exist?
Mathematics
2 answers:
Lostsunrise [7]3 years ago
8 0
72 possible outcomes
Anvisha [2.4K]3 years ago
7 0

Answer with explanation:

When a Dice is rolled once , total possible Outcome ={1,2,3,4,5,6}=6

When a dice is rolled twice, total possible outcome={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6),(1,2),(1`,3),(1,4),(1,5),(1,6),(2,1),(3,1),(4,1),(5,1),(6,1),(2,3),(2,4),(2,5),(2,6),(3,2),(4,2),(5,2),(6,2),(3,4),(3,5),(3,6),(4,3),(5,3),(6,3),(4,5),(4,6),(5,6),(5,4),(6,4),(6,5)} =6²=36

When a coin is tossed , total possible Outcome ={H,T}=2

So, total number of Possible outcomes

       =If we join one H along 36 Possible outcome when dice is tossed twice +If we join one T with 36 Possible outcome when dice is tossed twice

= 36 + 36

= 72 Outcome

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Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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3 years ago
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Can someone help me please
aleksklad [387]

9514 1404 393

Answer:

 IS a parallelogram

Step-by-step explanation:

The slope formula for the slope of the line between points (x1, y1) and (x2, y2) is ...

  m = (y2 -y1)/(x2 -x1)

The distance formula for the length of that same line is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Here, you're asked to use each of these formulas 4 times, once for each side of the quadrilateral. I find it convenient to let a calculator or spreadsheet do the repetitive calculations. The result is attached.

The attachment shows that opposites sides have the same length and slope, so are parallel. The quadrilateral is a parallelogram. (The two points used in each calculation are the ones on the result line and the line immediately below. That is why point B is copied to the end of the list.)

_____

<em>Additional comments</em>

There are much simpler ways to prove the figure is a parallelogram. My favorite is to add the coordinates of the end points of the diagonals:

  B +D = (-2+6, -9-3) = (4, -12)

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These values being the same demonstrates the midpoints of the diagonals are coincident. That will only be the case if the quadrilateral is a parallelogram.

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If you must use slope and distance formulas, showing either pair of opposite sides is parallel and have the same length is sufficient to guarantee that the other two sides are also parallel and have the same length. That is, the calculations required in this problem only need to be applied to one pair of opposite sides. (Using a spreadsheet, it's not a lot of extra work to do the calculations for both pairs of opposite sides.)

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blagie [28]

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