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Karo-lina-s [1.5K]
2 years ago
13

Please help me find the area of this shape

Mathematics
2 answers:
umka21 [38]2 years ago
4 0

<u>Answer:</u>

  • The area of the shaded shape is 62 m².

<u>Step-by-step explanation:</u>

<u>Area of shape: (7 x 4) + (9 x 3) + (7 x 1)</u>

  • => 28 + 27 + 7
  • => 62 m²

<u>Hence, </u><u>the area of the shaded shape is 62 m².</u>

Please check the PDF file for work.

Hoped this helped.

BrainiacUser1357

Download pdf
natulia [17]2 years ago
3 0

Answer:

62m squared

Step-by-step explanation:

Area= Length x Width. To figure out the area of a strange shape, you should divide it into portions. The top section would be calculated as 4x7=28. The second long and skinny rectangle at the middle is 3x10 (the three being from 7-4 and the 10 from 14-10, both values being the remainder of the space without the first shape), which equals 30. The final shape is the rectangle at the bottom, and to calculate its area the equation would be 1x4=4. You add all these values together (28+30+4) to get 62 metres squared (dont forget the sqaured!).

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kobusy [5.1K]

Using the normal distribution, it is found that:

a) The pilot is at the 72th percentile.

b) 19.13% of pilots are unable to fly.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 72.6, \sigma = 2.7.

Item a:

The percentile is the <u>p-value of Z when X = 74.2</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{74.2 - 72.6}{2.7}

Z = 0.59

Z = 0.59 has a p-value of 0.7224.

72th percentile.

Item b:

The proportion that is able to fly is the <u>p-value of Z when X = 78 subtracted by the p-value of Z when X = 70</u>, hence:

X = 78:

Z = \frac{X - \mu}{\sigma}

Z = \frac{78 - 72.6}{2.7}

Z = 2

Z = 2 has a p-value of 0.9772.

X = 70:

Z = \frac{X - \mu}{\sigma}

Z = \frac{70 - 72.6}{2.7}

Z = -0.96

Z = -0.96 has a p-value of 0.1685.

0.9772 - 0.1685 = 0.8087 = 80.87%.

Hence the percentage that is unable to fly is:

100 - 80.87 = 19.13%.

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

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Answer:

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Step-by-step explanation:

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