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Molodets [167]
3 years ago
7

Plz help me schools in 2 more days

Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0

So, to begin, we can set the scenario into an equation to solve for the amount of magnets that Sarah had...

Joseph had 28 magnets, plus an unknown amount, <em>x</em> :

28 + x

Sarah had 157, plus the same unknown amount.

157 + x

Also, Sarah had <u>four</u> times the amount of Joseph at the end:

4(28 + x)


As a full equation:


157 + x = 4(28 + x)


Now, all we have to do is solve for <em>x</em>, the unknown amount:


157 + x = 4(28 + x)


Use the Distributive Property on <em>4(28 + x)</em>:


157 + x = 112 + 4x


Subtract <em>x</em> on both sides:


157 + x - x = 112 + 4x - x

157 = 112 + 3x


Subtract <em>112</em> on both sides:


157 - 112 = 112 - 112 + 3x

45 = 3x


Divide by <em>3</em> on both sides:

15 = x


<em>15</em> is the unknown amount added to each pile of magnets!


Hope I could help you out!

Have a good one, and God bless!

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Answer:

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Step-by-step explanation:

  • Given data is: 71, 67, 67, 17, 69, 84, 21, 87

  • Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87

  • Here N = 8 (Even number)

  • N/2 = 4 and N/2 + 1 = 5

  • 4th term = 67, 5th term = 69

  • -> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66

  • Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87

  • Here, 4th term = 69, 5th term = 71

  • New median = (69 + 71)/2 = 140/2 = 70

  • -> new median > initial median

CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.

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