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Archivo de la Categoría 'Matemáticas'Pag 2 de 3

Madrid. Octubre 2008. Matemáticas. 4.

Publicado

por

el 1 Julio 2009

. 0 Comentarios

4. En un estudio de mercado se preguntó a un grupo de personas por el país al que les gustaría viajar en las próximas vacaciones y las respuestas fueron las siguientes:
Inglaterra, Francia, Italia, Inglaterra, Austria, Italia, Italia, Francia, Alemania, Austria, Francia, Italia, Inglaterra, Francia, Inglaterra, Italia, Inglaterra, Italia, Austria, Italia, Alemania, Italia, Inglaterra, Italia.

a) Construya la tabla de frecuencias absolutas e indique el valor de la moda.
b) Dibuje el diagrama de barras.
c) Construya el diagrama de sectores.

a) Construya la tabla de frecuencias absolutas e indique el valor de la moda.

País	Personas
Inglaterra	6
Francia	4
Italia	9
Austria	3
Alemania	2

Italia es la moda pues es el valor que presenta mayor frecuencia absoluta (9 personas).

b) Dibuje el diagrama de barras.

c) Construya el diagrama de sectores.

Para construir el diagrama hemos de trazar un círculo y dividirlo en 5 sectores de modo que:

c.1) Cada sector represente uno de los 5 países.
c.2) El área y el ángulo de cada sector sean proporcionales a la frecuencia absoluta correspondiente.

Antes de dibujar el diagrama de sectores procedamos a calcular y tabular los datos necesarios:

País	Personas	Área ( % ) (100 / 24 ) x Personas	Ángulo (grados) (360 / 24) x Personas
Inglaterra	6	25 %	90 º
Francia	4	16,66 %	60 º
Italia	9	37,50 %	135 º
Austria	3	12,50 %	45 º
Alemania	2	8,33 %	30 º
Total	24	100 %	360 º

He aquí, por fin, el diagrama de sectores solicitado:

Diagrama de sectores del estudio de mercado

Nota: Los diagramas de sectores se trazan con el auxilio de un transportador de ángulos:

Madrid. Junio 2009. Matemáticas. 1. c.

Publicado

por

Juan Carlos

el 30 Junio 2009

en Científico-Tecnológico, Madrid y Matemáticas

. 0 Comentarios

1. c) Examine el gráfico y escriba los valores de los números representados.
Recta de los números reales

A = -2 - 1/3 ~~~~~ B = 0 - 3/4 = - 3/4 ~~~~~ C = 2 + 5/6 ~~~~~ D = 3 + 1/2

Cataluña. Matemáticas.

Publicado

por

Juan Carlos

el 24 Diciembre 2008

en Catalunya, Científico-Tecnológico y Matemáticas

. 0 Comentarios

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Resuelve el siguiente sistema de ecuaciones:
matrix{2}{1}{{x+y=4}{y-x=6}}{rbrace}

Se trata de un sistema de dos ecuaciones lineales con dos incógnitas.
Abordaremos su resolución por el método de reducción:
- Empecemos numerando las ecuaciones:
~~matrix{2}{2}{(1){x+y=4}(2){y-x=6}}{rbrace}

~~matrix{2}{2}{(1){x+y=4}(2){y-x=6}}{rbrace}

- A continuación preparamos la segunda ecuación:
~~(2)~y-x=6~doubleleftright~-x+y=6

- Sumamos las dos ecuaciones miembro a miembro:
~~+underline{matrix{2}{2}{(1){x+y=4}(2){-x+y=6}}{rbrace}}

~~~~x-x+y+y=10~doubleleftright~2y=10~doubleleftright~y=10/2~doubleleftright~y=5

- Reemplazamos

, por su valor, en la primera ecuación:
~~(1)~x+y=4

~~(1)~x+5=4~doubleleftright~x=4-5~doubleleftright~x=-1

- Solución:
~~x=-1 ~{/}~ y=5

Cataluña. Matemáticas.

Publicado

por

Juan Carlos

el 21 Diciembre 2008

en Catalunya, Científico-Tecnológico y Matemáticas

. 0 Comentarios

Resuelve la siguiente ecuación:
2x-5(2-x)+3({-}x+1)=1

Cataluña. Matemáticas.

Publicado

por

Juan Carlos

el 21 Diciembre 2008

en Catalunya, Científico-Tecnológico y Matemáticas

. 2 Comentarios

Resuelve la siguiente ecuación:
{x-2}/2=x/3

Resolución de sistemas de ecuaciones

Publicado

por

Juan Carlos

el 21 Diciembre 2008

en Científico-Tecnológico, Matemáticas y Vídeos didácticos

. 0 Comentarios

En el siguiente multivídeo se explica qué es un sistema de ecuaciones y se presentan, con ejemplos prácticos, tres métodos de resolución: igualación, sustitución y reducción:

Ecuaciones de primer grado con una incógnita, fraccionarias y con denominador monomio

Publicado

por

Juan Carlos

el 20 Diciembre 2008

en Científico-Tecnológico, Matemáticas y Vídeos didácticos

. 7 Comentarios

En el siguiente multivídeo se presentan 9 ejemplos de resolución de ecuaciones de primer grado con una incógnita, fraccionarias y con denominador monomio:

Ecuaciones de primer grado con una incógnita y productos indicados

Publicado

por

Juan Carlos

el 20 Diciembre 2008

en Científico-Tecnológico, Matemáticas y Vídeos didácticos

. 2 Comentarios

Ahí van 3 ejemplos de resolución de ecuaciones de primer grado con una incógnita y productos indicados:

Ecuaciones de primer grado con una incógnita y signos de agrupación

Publicado

por

Juan Carlos

el 20 Diciembre 2008

en Científico-Tecnológico, Matemáticas y Vídeos didácticos

. 6 Comentarios

A continuación se presentan 4 ejemplos de resolución de ecuaciones de primer grado con una incógnita y signos de agrupación:

Ecuaciones de primer grado con una incógnita sencillas

Publicado

por

Juan Carlos

el 20 Diciembre 2008

en Científico-Tecnológico, Matemáticas y Vídeos didácticos

. 4 Comentarios

A continuación se presenta la teoría y 4 ejemplos de resolución de ecuaciones de primer grado con una incógnita sencillas. Como es costumbre en el profesor Grillo, cada vídeo concluye con una batería de ejercicios propuestos:

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Cataluña. Matemáticas.

Cataluña. Matemáticas.

Cataluña. Matemáticas.

Resolución de sistemas de ecuaciones

Ecuaciones de primer grado con una incógnita, fraccionarias y con denominador monomio

Ecuaciones de primer grado con una incógnita y productos indicados

Ecuaciones de primer grado con una incógnita y signos de agrupación

Ecuaciones de primer grado con una incógnita sencillas

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