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mestny [16]
3 years ago
5

Aspen trees tend to be smaller in the highlands of the park because they are subject to strong winds. While the number of aspen

trees in the highlands of the park is about the same as the number of aspen trees in the lowlands of the park, the park ranger is concerned that 24 out of the 30 trees in the random sample came from the highlands. Propose a sampling method to address this concern and describe the benefit of using that sampling method.
Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Answer:

Systematic-sampling method is the right answer.

Step-by-step explanation:

A method of sampling in which the sample members are selected from a larger population according to a random starting spot but with a fixed, interval, is known as the systematic sampling method.

We can use the systematic sampling method in the given situation. Individual sample members are chosen at regular intervals from the sampling data. We use to chose the intervals to ensure enough sample size. The main advantage of using this method is that it is more convenient and it is easy to administer. The benefit of using this method will be that the number of aspen trees will be sampled from all across the national park.

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1. Se dispara una bala de 10grbcon una velocidad de 500m/s contra un muro de 10cm de espesor. Si la resistencia del muro al avan
vodomira [7]

Answer:

1) La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.

Step-by-step explanation:

1) La velocidad final de la bala puede determinarse mediante el Teorema del Trabajo y la Energía, a partir del cual se tiene la siguiente fórmula:

\frac{1}{2}\cdot m\cdot v_{o}^{2} -F\cdot \Delta s = \frac{1}{2}\cdot m \cdot v_{f}^{2} (1)

Where:

m - Masa de la bala, en kilogramos.

v_{o}, v_{f} - Velocidades inicial y final de la bala, en metros por segundo.

F - Resistencia del muro al avance de la bala, en newtons.

\Delta s - Espesor del muro, en metros.

Si sabemos que m = 0,01\,kg, v_{o} = 500\,\frac{m}{s}, F = 3000\,N and \Delta s = 0,1\,m, entonces la velocidad final de la bala es:

v_{f}^{2}=v_{o}^{2} -\frac{2\cdot F\cdot \Delta s}{m}

v_{f} = \sqrt{v_{o}^{2}-\frac{2\cdot F\cdot \Delta s}{m} }

v_{f} \approx 435,890\,\frac{m}{s}

La velocidad de la bala después de atravesar el muro es de aproximadamente 435,890 metros por segundo.

2) Asumamos que el automóvil acelera a tasa constante, significando que la fuerza neta será constante. Para un sistema cuya fuerza neta sea constante, la potencia experimentada queda descrita por la siguiente ecuación:

P = m\cdot a(t)\cdot v(t) (2)

a(t) = a (3)

v(t) = v_{o} + a\cdot t (4)

Donde:

P - Potencia, en watts.

m - Masa del automóvil, en kilogramos.

a(t) - Aceleración, en metros por segundo al cuadrado.

v(t) - Velocidad, en metros por segundo.

v_{o} - Velocidad inicial del automóvil, en metros por segundo.

Si sabemos que m = 1000\,kg, a = 3,472\,\frac{m}{s}, v_{o} = 0\,\frac{m}{s} y t = 8\,s entonces la potencia experimentada por el automóvil es:

P = 96438,272\,W (131,208\,C.V.)

La potencia del automóvil es 96438,272 watts o 131,208 caballos de vapor.

3) El cuerpo experimenta un Movimiento de Caída Libre, el cual es un Movimiento Uniformemente Acelerado debido a la gravedad terrestre. La velocidad del cuerpo al llegar al suelo se determina mediante la siguiente fórmula cinemática:

v_{f} = \sqrt{v_{o}^{2}+2\cdot g\cdot h} (5)

Donde:

v_{o} - Velocidad inicial del cuerpo, en metros por segundo.

v_{f} - Velocidad final del cuerpo, en metros por segundo.

g - Aceleración gravitacional, en metros por segundo al cuadrado.

h - Altura recorrida por el cuerpo, en metros.

Si sabemos que v_{o} = 0\,\frac{m}{s}, g = 9,807\,\frac{m}{s^{2}} y h = 10\,m, entonces la velocidad al llegar al suelo es:

v_{f} \approx 14,005\,\frac{m}{s}

La velocidad del objeto al llegar al suelo es aproximadamente 14,005 metros por segundo.

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