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jekas [21]
3 years ago
14

what is the probability that a red or green marble will be selected from a bag containing 9 red marbles, 7 green marbles, and 11

yellow marbles if one is selected randomly ?
Mathematics
1 answer:
Westkost [7]3 years ago
5 0
Total marbles : (9 + 7 + 11) = 27

red or green : (9 + 7) = 16

probability of red or green : 16/27
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Keith had 1 1/2 cups of flour.he used 5 2/3 cups to make bread.How many cups of flour does Keith have left
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2/3 of the sum of three times a number and six is 10. what is the number?
mestny [16]

9514 1404 393

Answer:

  3

Step-by-step explanation:

Let x represent the number. The problem statement tells you ...

2/3(3x +6) = 10

  2x +4 = 10 . . . . . . use the distributive property

  x +2 = 5 . . . . . . . . divide by 2

  x = 3 . . . . . . . . . . .subtract 3

The number is 3.

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<em>Comment on the solution</em>

The above shows an "alternative" solution method. The more usual way this might be done is ...

  2(3x +6) = 30 . . . . . multiply by 3 to clear fractions

  6x +12 = 30 . . . . . . . eliminate parentheses

  6x = 18 . . . . . . . . . . . subtract 12

  x = 3 . . . . . . . . . . . . divide by 6

3 0
3 years ago
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Determine whether the graph is the graph of a function. <br><br>Yes or No
tankabanditka [31]
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Answer:

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Multiply both sides by sin² x:

cot² x + 2 − cos² x = 2 sin² x

Add cos² x to both sides:

cot² x + 2 = 2 sin² x + cos² x

Pythagorean identity:

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Subtract 1 from both sides:

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Pythagorean identity:

csc² x = sin² x

Multiply both sides by sin² x:

1 = sin⁴ x

Take the fourth root:

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Solve for x:

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Which simplifies to:

x = π/2 + πk

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