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Aloiza [94]
3 years ago
6

You spin the spinner and flip a coin. Find the probability of the compound event.

Mathematics
1 answer:
Mademuasel [1]3 years ago
7 0

Answer:

The probability of spinning an even number and flipping heads is 1/4

Step-by-step explanation:

You spin the spinner and flip a coin.

A spinner that has 1 of each number, 1-6

Total events =12

(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)

We are supposed to find  probability of spinning an even number and flipping heads

Favorable events : (2,H),(4,H)(6,H) = 3

Total events = 12

The probability of spinning an even number and flipping heads =\frac{3}{12}=\frac{1}{4}

Hence The probability of spinning an even number and flipping heads is 1/4

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12.5%

Step-by-step explanation:

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1 out of 8.

1/8 = 0.125

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\\x=1\Rightarrow y=8^1=8
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What expression is equivalent to 8^4/3?
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Step-by-step explanation:

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What is the answer to 8x + 15 = 3m + 5
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3 years ago
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balandron [24]

Answer:

  • The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.

Explanation:

By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.

You can check that analitically

Departing from the triangle: XYZ

  • <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)

  • Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
  • Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
  • Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)

  • <u>Translation 1 unit down</u>: (x,y) → (x, y-1)

  • (-11,2) → (-11, 2 - 1) = (-11, 1)
  • (-9,7) → (-9, 7 - 1) = (-9, 6)
  • (-7, 2) → (-7, 2 - 1) = (-7, 1)

  • <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)

  • (-11, 1) → (-11, -1), which are the coordinates of vertex X"
  • (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
  • (-7, 1) → (-7, -1), which are the coordinates of vertex Z"

Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.

7 0
3 years ago
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