There are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
To determine the number of Asians, Africans, Europeans, and Americans in the village, the following calculation must be performed:
- A.S + A.F + E.U + A.M = 177
- A.S = A.F + E.U + 69
- E.U - A.M = 13
- E.U = A.M + 13
- 2A.F = E.U + A.M + 29
- A.F + E.U + 69 + A.F + E.U + A.M = 177
- A.F + A.M + 13 + 69 + A.F + A.M + 13 + A.M = 177
- 2A.F + 3A.M = 177 - 13 - 13 - 69
- E.U + A.M + 29 + 3A.M = 82
- A.M + 13 + A.M + 29 + 3A.M = 82
- 5A.M = 82 - 13 - 29
- A.M = 40/5
- A.M = 8
- E.U = 8 + 13 = 21
- A.F = (21 + 29) / 2 = 25
- A.S = 177 - 25 - 21 - 8 = 123
Therefore, there are 123 Asians, 25 Africans, 21 Europeans and 8 Americans in the village.
Learn more about maths in brainly.com/question/25818763
a) We kindly invite to check the image attached below to see a detailed graph of the <em>piecewise</em> function.
b) The <em>piecewise</em> function is continuous.
<h3>How to understand a piecewise function</h3>
A <em>piecewise</em> function is a <em>conditional</em> combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.
a) The <em>piecewise</em> function described in the question is plotted on a graphing tool (i.e. <em>Desmos</em>), whose result is presented in the image attached below.
b) A function is <em>continuous</em> if and only if there is one value from range for every value of domain. The <em>piecewise</em> function is continuous as <em>linear</em> functions are continuous and the two functions of the <em>conditional</em> combination have the same value for x = 30.
To learn more on piecewise functions: brainly.com/question/12561612
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