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kiruha [24]
3 years ago
6

A scale model of an airplane has a length of 19 centimeters and a wingspan of 18 centimeters. The length of the real airplane is

38 meters. What is the wingspan of the real airplane?
Mathematics
2 answers:
deff fn [24]3 years ago
7 0
The wingspan is 36 m.

Using a proportion to solve this, we write the scale factor as a ratio first:  19/38, since 19 is the size of the model's length and 38 is the real length.  For the second ratio, we have 18 for the size of the model wingspan and x for the real wingspan:

19/38 = 18/x

Cross multiply:
19*x = 38*18
19x = 684

Divide both sides by 19:
19x/19 = 684/19
x = 36 m
topjm [15]3 years ago
3 0
For this case we can use the following rule of three:
 19 cm -------> 38 m
 18 cm -------> x
 From here, we clear the value of x.
 We have then:
 x = (18/19) * (38)
 x = 36 m
 Answer:
 The wingspan of the real airplane is:
 x = 36 m
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The new test designed for detecting TB is being analysed.

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The information provided is:

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P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264

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P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188

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