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8_murik_8 [283]
3 years ago
13

the dimensions of a rectangular playground are 50 times the dimensions of a scale drawing of the playground. the area of the sca

le drawing is 6 square feet. what is the area of the actual playground?
Mathematics
1 answer:
drek231 [11]3 years ago
8 0
Area of rectangular playground -= length x width = 6 sq feet

dimension of rectangular playground = 50 times the dimension of scale
                                                           = 50 x 6 sq ft
                                                           = 300sq ft

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Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a 0.1635 = 16.35% probability of a sample result with 68% or fewer returns prior to the third day.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

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In this problem:

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The <u>mean and the standard error</u> are given by:

\mu = p = 0.7

s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{500}} = 0.0205

The probability is the <u>p-value of Z when X = 0.68</u>, hence:

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

By the Central Limit Theorem

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

Z = \frac{0.68 - 0.7}{0.0205}

Z = -0.98

Z = -0.98 has a p-value of 0.1635.

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A similar problem is given at brainly.com/question/25735688

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