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Doss [256]
3 years ago
7

Please please help !

Mathematics
2 answers:
BARSIC [14]3 years ago
6 0

Answer:

x = 13.7

Step-by-step explanation:

The angle at the top of the triangle = 90° - 17° = 73°

The left side of the triangle is x ( opposite sides of a rectangle )

Using the cosine ratio in the right triangle

cos73° = \frac{adjacent}{hypotenuse} = \frac{x}{47}

Multiply both sides by 47

47 × cos73° = x, hence

x ≈ 13.7

Yuliya22 [10]3 years ago
5 0

Answer:

13.74

Step-by-step explanation:

the top right angle is 90 (opposite angles in a quadrilateral add up to 180). use the sine rule. x = 47/sin 90 × sin 17

= 13.74

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Using the Empirical Rule, it is found that:

  • a) Approximately 99.7% of the amounts are between $35.26 and $51.88.
  • b) Approximately 95% of the amounts are between $38.03 and $49.11.
  • c) Approximately 68% of the amounts fall between $40.73 and $46.27.

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The Empirical Rule states that, in a <em>bell-shaped </em>distribution:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

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Item a:

43.5 - 3(2.77) = 35.26

43.5 + 3(2.77) = 51.88

Within <em>3 standard deviations of the mean</em>, thus, approximately 99.7%.

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Item b:

43.5 - 2(2.77) = 38.03

43.5 + 2(2.77) = 49.11

Within 2<em> standard deviations of the mean</em>, thus, approximately 95%.

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Item c:

  • 68% is within 1 standard deviation of the mean, so:

43.5 - 2.77 = 40.73

43.5 + 2.77 = 46.27

Approximately 68% of the amounts fall between $40.73 and $46.27.

A similar problem is given at brainly.com/question/15967965

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