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10. the following spinner is spun and a normal six - sided die is rolle…

Question

  1. the following spinner is spun and a normal six - sided die is rolled. the product of their respective results is recorded.

Explanation:

Response

To solve this, we need to fill in the table with the product of the spinner result (1, 2, 4, 6) and the die result (1 - 6). Let's go step by step for each row (die result) and column (spinner result):

Step 1: Die result = 1

For spinner result 1: \(1\times1 = 1\) (already filled)
Spinner result 2: \(1\times2 = 2\)
Spinner result 4: \(1\times4 = 4\)
Spinner result 6: \(1\times6 = 6\)

Step 2: Die result = 2

Spinner result 1: \(2\times1 = 2\)
Spinner result 2: \(2\times2 = 4\)
Spinner result 4: \(2\times4 = 8\)
Spinner result 6: \(2\times6 = 12\)

Step 3: Die result = 3

Spinner result 1: \(3\times1 = 3\)
Spinner result 2: \(3\times2 = 6\)
Spinner result 4: \(3\times4 = 12\)
Spinner result 6: \(3\times6 = 18\)

Step 4: Die result = 4

Spinner result 1: \(4\times1 = 4\)
Spinner result 2: \(4\times2 = 8\)
Spinner result 4: \(4\times4 = 16\)
Spinner result 6: \(4\times6 = 24\)

Step 5: Die result = 5

Spinner result 1: \(5\times1 = 5\)
Spinner result 2: \(5\times2 = 10\)
Spinner result 4: \(5\times4 = 20\)
Spinner result 6: \(5\times6 = 30\)

Step 6: Die result = 6

Spinner result 1: \(6\times1 = 6\)
Spinner result 2: \(6\times2 = 12\)
Spinner result 4: \(6\times4 = 24\)
Spinner result 6: \(6\times6 = 36\)

The filled table will be:

Die \ Spinner1246
224812
3361218
4481624
55102030
66122436

If the question was to fill the table (assuming), the above is the completed table with products.

Answer:

To solve this, we need to fill in the table with the product of the spinner result (1, 2, 4, 6) and the die result (1 - 6). Let's go step by step for each row (die result) and column (spinner result):

Step 1: Die result = 1

For spinner result 1: \(1\times1 = 1\) (already filled)
Spinner result 2: \(1\times2 = 2\)
Spinner result 4: \(1\times4 = 4\)
Spinner result 6: \(1\times6 = 6\)

Step 2: Die result = 2

Spinner result 1: \(2\times1 = 2\)
Spinner result 2: \(2\times2 = 4\)
Spinner result 4: \(2\times4 = 8\)
Spinner result 6: \(2\times6 = 12\)

Step 3: Die result = 3

Spinner result 1: \(3\times1 = 3\)
Spinner result 2: \(3\times2 = 6\)
Spinner result 4: \(3\times4 = 12\)
Spinner result 6: \(3\times6 = 18\)

Step 4: Die result = 4

Spinner result 1: \(4\times1 = 4\)
Spinner result 2: \(4\times2 = 8\)
Spinner result 4: \(4\times4 = 16\)
Spinner result 6: \(4\times6 = 24\)

Step 5: Die result = 5

Spinner result 1: \(5\times1 = 5\)
Spinner result 2: \(5\times2 = 10\)
Spinner result 4: \(5\times4 = 20\)
Spinner result 6: \(5\times6 = 30\)

Step 6: Die result = 6

Spinner result 1: \(6\times1 = 6\)
Spinner result 2: \(6\times2 = 12\)
Spinner result 4: \(6\times4 = 24\)
Spinner result 6: \(6\times6 = 36\)

The filled table will be:

Die \ Spinner1246
224812
3361218
4481624
55102030
66122436

If the question was to fill the table (assuming), the above is the completed table with products.