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AfilCa [17]
3 years ago
10

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circ

le is 1/16 of the circle.)
16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Answer:

  • 16. 3/8
  • 17. 1/8
  • 18. 5/18
  • 19. 0
  • 20. 1

Step-by-step explanation:

<u>As per the spinner we have:</u>

  • Green = 1/2 - 1/16 = 7/16
  • Red = 1/4
  • Purple = 1/8
  • Orange, blue, yellow = 1/16

<u>16. P(red, yellow, blue) = ?</u>

  • P = 1/4 + 1/16 + 1/16 = 3/8

<u>17. P(orange, yellow) = ?</u>

  • P = 1/16 + 1/16 = 1/8

<u>18. P(green, blue, purple) = ?</u>

  • P = 7/16 + 1/16 + 1/8 = 10/16 = 5/8

<u>19. P(pink) = ?</u>

  • P = 0 as no pink section

<u>20. P(red, orange, yellow, green, blue, purple) = ?</u>

  • P = 1 as all possible colors selected
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BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
A_{n}=A_{1}+(n-1)d

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d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so A_{1}=47
<span>d=-2 because the question gives you that
</span>
A_{n}=A_{1}+(n-1)d
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</span><span>A_{29}=47+(28)(-2)
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<u>                                                       </u>

<span>The answer is C. 158</span>

For the second one, it gives you A_{1}=4 and <span>A_{}=18
You can use this to find d

</span><span>A_{n}=A_{1}+(n-1)d
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</span>
Now you can just solve using the equation normally.
<span>A_{n}=A_{1}+(n-1)d
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</span><span>A_{23}=4+(22)(7)
</span><span>A_{23}=4+154
</span><span>A_{23}=158
</span>
The answer is C. 158
8 0
3 years ago
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