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SCORPION-xisa [38]
3 years ago
15

You are surveying people exiting from a polling booth and asking them if they voted independent. The probability (p) that a pers

on voted independent is 20%. What is the probability that 15 people must be asked before you can find 5 people who voted independen
Mathematics
1 answer:
choli [55]3 years ago
4 0

Answer:

Step-by-step explanation:

Let the distribution law followed is exponential law .

mean m = np where n = 15 , p = .2

m = 15 x .2 = 3

probability of 5 successes

= \frac{e^{-m}m^r}{r!}

= \frac{e^{-3}3^5}{5!}

= .1

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En la tienda de mascotas "Animalo-T", se desea elevar un elefante de 2,900 kg utilizando una elevadora hidráulica de plato grand
Korvikt [17]

Answer:

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Step-by-step explanation:

Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:

\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}} (1)

Donde:

F_{1} - Fuerza experimentada por el elefante, medida en newtons.

F_{2} - Fuerza aplicada sobre el plato pequeño, medida en newtons.

A_{1} - Área del plato grande, medida en metros cuadrados.

A_{2} - Área del plato pequeño, medida en metros cuadrados.

La fuerza aplicada sobre el plato pequeño es:

F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}

La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:

F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g (2)

Donde:

D_{1} - Diámetro del plato grande, medido en centímetros.

D_{2} - Diámetro del plato pequeño, medido en centímetros.

m - Masa del elefante, medida en kilogramos.

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

Si sabemos que D_{1} = 0.75\,m, D_{2} = 0.13\,m, m = 2900\,kg y g = 9.807\,\frac{m}{s^{2}}, entonces la fuerza a aplicar al émbolo pequeño es:

F_{2} = \left(\frac{0.13\,m}{0.75\,m} \right)^{2}\cdot (2900\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)

F_{2} = 854.473\,N

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

3 0
3 years ago
Find the reciprocal of 18/5÷2=
alekssr [168]
18/5 ÷2=18/5x1/2 =9/5
reciprocal=5/9
4 0
3 years ago
12.42 + (-20) =<br>A) 4 B) -4 C)-12 D) 12<br>PLEASE answer quick ​
Ivan

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Shureka Washburn has scores of 67​, 68​, 76​, and 63 on her algebra tests. a. Use an inequality to find the scores she must make
mash [69]
Average=(total number)/(number of items)
given that the final exam counts as two test, let the final exam be x. The weight of the final exams on the average is 2, thus the final exam can be written as 2x because any score Shureka gets will be doubled before the averaging.
Hence our inequality will be as follows:
(67+68+76+63+2x)/6≥71
(274+2x)/6≥71
solving the above we get:
274+2x≥71×6
274+2x≥426
2x≥426-274
2x≥152
x≥76

b] The above answer is x≥76, the mean of this is that if Shureka is aiming at getting an average of 71 or above, then she should be able to get a minimum score of 76 or above. Anything less than 76 will drop her average lower than 71.


8 0
3 years ago
What is the rule of the function table?
Leokris [45]

Answer:

y = 3x - 2

Step-by-step explanation:

The 'rule' of a function table is the expression which you use to put in a value of 'x' to get the value of 'y'.  In this case you can look at the table and look for a pattern of 'x' and 'y' values:

       +1  +1  +1  

x = 1    2    3    4  

y = 1    4    7    10

      +3   +3   +3

So, the 'x' is increasing by 1 each time and the y is increasing by 3.  However, what is 'y' when 'x' is 0?  Subtract 1 - 0 to get x = 0 and subtract 1 - 3 to get the value of 'y' or y = 1-3 = -2.  

If we multiply x by 3 and subtract -2:  3x - 2, then we should get our value of 'y' each time:

y = 1(3) - 2 = 1

y = 2(3) -2 = 4

y = 3(3) - 2 = 7

y = 4(3) - 2 = 10

3 0
3 years ago
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