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Tcecarenko [31]
3 years ago
9

The ages of people on a jury are 41,45,39,56,48,45,42,34,47,62,35, and 58. Make a stem-and-leaf plot of the data.

Mathematics
2 answers:
KATRIN_1 [288]3 years ago
7 0
I drew out one, but I have terrible drawing skills. Hope this gives an idea of how it works

Nadya [2.5K]3 years ago
4 0

"34" is split into "3" (stem) and "4" (leaf).Answer:

Hi!

By definition a stem-and-leaf plot each data value of the data set is split into a "leaf" (usually the last digit) and a "stem" (other digits).

First, you have to sort the data set:

34, 35, 39, 41, 42, 45, 45, 47, 48, 56, 58, 62

Second, split the numbers:

  • "34" is split into "3" (stem) and "4" (leaf).
  • "35" is split into "3" (stem) and "5" (leaf).
  • "39" is split into "3" (stem) and "9" (leaf).
  • "41" is split into "4" (stem) and "1" (leaf).
  • "42" is split into "4" (stem) and "2" (leaf).
  • "45" is split into "4" (stem) and "5" (leaf).
  • "47" is split into "4" (stem) and "7" (leaf).
  • "48" is split into "4" (stem) and "8" (leaf).
  • "56" is split into "5" (stem) and "6" (leaf).
  • "58" is split into "5" (stem) and "8" (leaf).
  • "62" is split into "6" (stem) and "2" (leaf).

Last, complete the table for stem-and-leaf.

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Solve the following problem, round your answer to the nearest 2 decimal places if needed.
blondinia [14]

Applying the midsegment theorem, the <u>value of x = 5</u>

<em><u>Recall:</u></em>

  • The midsegment theorem of a triangle states that the length of the mid-segment (DE) which is parallel to the third side (AC), is half the length of the third side AC of triangle BAC.

<em><u>Thus:</u></em>

DE = 1/2(AC)

  • Substitute

2x - 3 = 1/2(x + 9)

  • Multiply both sides by 2

2(2x - 3) = x + 9

4x - 6 = x + 9

  • Combine like terms

4x - x = 6 + 9

3x = 15

  • Divide both sides by 3

x = 5

Therefore, applying the midsegment theorem, the <u>value of x = 5</u>

<u></u>

Learn more about the midsegment theorem on:

brainly.com/question/7423948

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