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iris [78.8K]
3 years ago
14

ANYONE...........help​

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0

Answer:

  • 1 cm

Step-by-step explanation:

<u>Sides of the picture added margin:</u>

  • l = 8 + 2x
  • w = 5 + 2x
  • A(margin) = 30 cm²

<u>Solution</u>:

  • A(margin) = Total area - A(picture)
  • (8 + 2x)(5 + 2x) - 5*8 = 30
  • 4x² + 10x + 16x + 40 - 40 - 30 = 0
  • 4x² + 26x - 30 = 0
  • 2x² + 13x - 15 = 0
  • x = (-13 + √(13² + 2*4*15))/4
  • x = (-13 + 17)/4
  • x = 1 cm

Note. The other root is ignored as negative.

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IgorLugansk [536]
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2 years ago
A ski gondola carries skiers to the top of a mountain. assume that weights of skiers are normally distributed with a mean of 199
Allushta [10]
A) maximum mean weight of passengers = <span>load limit ÷ number of passengers
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</span>B)  First, find the z-score:
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Now, look at a standard normal table to find <span>P(z < -1.20) = 0.11507, therefore:
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P(z > -0.29) = 1 - P(z < -0.29) = 1 - 0.3859 = 0.6141

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D) The mean weight of skiers is 199lb, therefore:
number</span> of passengers = <span>load limit ÷ <span>mean weight of passengers
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The new capacity of 20 skiers is safer than 25 skiers, but we cannot consider it safe enough, since the maximum capacity should be of 18 skiers.</span>
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