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kkurt
3 days ago
8

Determine if each scenario is either a permutation or combination. Do NOT solve these scenarios. a) An art gallery displays 125

different pieces of artwork at a time. However, 15 pieces are selected to be displayed prominently throughout in the gallery. For instance, the most popular piece is displayed in a location that can be seen as soon as you walk in the door. Determine how many ways these more popular 15 pieces can be displayed throughout the gallery. b) An art gallery has a total of 320 different pieces of art. However, only 125 pieces can be displayed at a time. Determine how many ways those 125 pieces can be selected.
Mathematics
1 answer:
PIT_PIT [3.9K]3 days ago
3 0

Answer:

a) Permutaciones

b) combinaciones

Step-by-step explanation:

a)

Dado que el orden de las 15 obras de arte más importantes es relevante, comenzando por la más popular y luego las que ocupan los lugares 2, 3, 4, y así sucesivamente. Cuando nos ocupamos del "orden de colocación", el tema se refiere a permutaciones.

b)

De un total de 320 obras, se deben "seleccionar" 125 para ser exhibidas, el proceso de selección implica combinaciones en las que el orden de la selección no importa.

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Let x represent the number of pages in the U.S. Tax Code and y denote the pages in the King James Bible.

According to the provided information,
x= y+18,528 ⇒ y=x-18,528
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5 days ago
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​A factory manufactures tennis balls. Each tennis ball is stamped with the number ​1, 2, 3, or 4. The table shown below lists th
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Answer:

Step-by-step explanation:

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4 days ago
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
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Answer:

∠ R > 90°

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\angle R > \angle T

\angle R > \angle S    

Explicación paso a paso:

Dado que en el triángulo RST

\angle R> (\angle s +\angle T)

Ahora, según la condición, un ángulo es mayor que la suma de los otros dos ángulos.

En un triángulo, la suma de los tres ángulos es 180°

Por lo tanto, si un ángulo mide  90°, la suma de los otros dos debe ser igual a 90°

Y si uno de los ángulos es de 90°, solo los otros dos pueden ser de 45° cada uno.

Aquí suponiendo que el ángulo s = ángulo T = 30°, entonces con esta condición el ángulo r sería de 120°, que es mayor que 90°.

De lo anterior, se concluye que

Para, \angle R> (\angle s +\angle T)

∵ ∠ R = 120°, por lo tanto es mayor que 90°.

Es decir, ∠ R > 90°

\angle s + \angle T < \angle 90

\angle R > \angle T

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5 0
7 days ago
A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particula
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Answer: 26.3 mm

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