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sukhopar [10]
3 years ago
14

En una olimpiada matemática, cada estudiante recibe un punto por cada pregunta acertada. En la siguiente tabla de frecuencias se

muestra la clasificación de la cantidad de estudiantes de acuerdo con su puntaje obtenido. ¿Cuál es la probabilidad de seleccionar aleatoriamente un participante que haya obtenido entre 71 y 85 puntos?
Mathematics
1 answer:
Leviafan [203]3 years ago
4 0

La tabla relacionada con la pregunta se puede encontrar en la imagen adjunta a continuación:

Responder:

70%

Explicación paso a paso:

probabilidad de seleccionar aleatoriamente a un participante que haya obtenido entre 71 y 85 puntos:

Probabilidad = resultado requerido / Total de resultados posibles

Resultados posibles totales = Sumando la frecuencia para obtener el número total de estudiantes = (9 + 12 + 12 + 18 + 9) = 60 estudiantes

Resultado requerido:

Clase :

(71 - 75) = frecuencia = 12

(76 - 80) = frecuencia = 12

(81 - 85) = frecuencia = 18

Total = (12 + 12 + 18) = 42 = resultado requerido

Por tanto, P = 42/60 = 0,7 = (0,7 * 100%) = 70%

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Margo can purchase tile at a store for $.99 per tile and rent a tile saw for $10. At another store she can borrow the tile saw f
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Answer:

The indifference point is 20 tiles.

Step-by-step explanation:

<u>First, we need to establish the total cost formulas for each store:</u>

<u></u>

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2 years ago
Show your work F(x)=5x^2-4x+1 G(x)=3x-2 H(x)=x+1 K(x)= 4x What is (g*h)(x)= What is g(k(x))= What is k(g(0)) =
andre [41]

<u>Answer</u><u>:</u>

— What is (g × h)(x)?

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>3x²</em><em>+</em><em>x-2</em>

— What is g(k(x))?

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>12x</em><em> </em><em>-</em><em> </em><em>2</em><em> </em><em>or</em><em> </em><em>2</em><em>(</em><em>6x-1</em><em>)</em>

<em>—</em><em> </em>What is k(g(0))

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>-</em><em /><em>8</em>

<u>Explanation:</u>

Given these functions —

f(x)  = 5 {x}^{2}  - 4x + 1 \\ g(x) = 3x - 2 \\ h(x) = x + 1 \\ k(x) = 4x

<u>Find</u><u> </u><u>(</u><u>g</u><u> </u><u>×</u><u> </u><u>h</u><u>)</u><u>(</u><u>x</u><u>)</u><u />

(g \times h)(x) = g(x) \times h(x)

Substitute g(x) = 3x - 2 and h(x) = x + 1

(3x - 2) \times (x + 1) \\ (3x - 2)(x + 1)

Multiply the polynomial.

3 {x}^{2}  + 3x - 2x - 2

Subtract - 2x out of 3x —

3 {x}^{2}  + x - 2

Thus, the answer is —

(g \times h)(x) = 3 {x}^{2}  + x - 2

<u>Find</u><u> </u><u>(</u><u>g</u><u>(</u><u>k</u><u>(</u><u>x</u><u>)</u><u>)</u><u />

Substitute k(x) = 4x in g(x).

g(x) = 3x - 2 \\ k(x) = 4x

g(k(x)) = g(4x)

g(4x) = 3(4x) - 2

Distribute 3 in 4x —

g(4x) = 12x - 2

Thus the answer is —

g(k(x)) = 12x - 2

<u>Alternative</u><u> </u><u>Solution</u>

g(k(x)) = 2(6x - 1)

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Given two functions — k(x) and g(x)

k(x) = 4x \\ g(x) = 3x - 2

Evaluate the value of g(0) as we substitute x = 0 in g(x)

g(0 ) = 3(0) - 2 \\ g(0) = 0 - 2 \\ g(0) =  - 2

Since we need to find k(g(0)), our currently input is g(0).

From k(x) and g(0) —

k(x) = 4x \\ g(0) =  - 2

Substitute g(0) = -2 in k(x)

k(g(0)) = 4(g(0)) \\ k( - 2) = 4( - 2) \\ k( - 2) =  - 8

Thus, the answer is —

k(g(0)) =  - 8

7 0
3 years ago
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