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Over [174]
3 years ago
10

Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate o

f 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

  • D. 216/625

Step-by-step explanation:

  • The length of the segment JM is 25 units.
  • The segment JL is between 0 and 12, so is 12 units.
  • The segment KL is between 5 and 12, so is 7 units.

<u>The probabilities for each point:</u>

  • P(point on JL) = 12/25
  • P(point not on KL) = 1 -  7/25 = 18/25

<u>Required probability:</u>

  • P = 12/25*18/25 = 216/625

Correct choice is D

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Let's solve for x.

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Step 1: Add -15y to both sides.

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Step 2: Divide both sides by 5.

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Let's solve for y.

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Step 1: Add -5x to both sides.

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