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solmaris
2 months ago
5

Workers have packed 1,400 glasses in 7 boxes. If they pack 3 more boxes, how many glasses will they have packed in all?

Mathematics
1 answer:
Svet_ta [12.7K]2 months ago
5 0
2000


1 caja = 1400/7 = 200
200×3=600
1400+600=2000


Explicación paso a paso:
Dado: Los trabajadores han empaquetado 1,400 vasos en 7 cajas.
A buscar: Si empacan 3 cajas más, ¿cuántos vasos habrán empaquetado en total?
Solución:
Vasos empaquetados en 7 cajas = 1400
Vasos en 1 caja =
Vasos en 3 cajas =
Por lo tanto, al inicio empacaron 1400 vasos.
Si empacan 3 cajas más, agregarán 600 vasos adicionales.
Por lo tanto, el número total de vasos empaquetados por los trabajadores = 1400+600 = 2000
Así que han empaquetado 2000 vasos en total.
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Complete Question

The complete question appears in the first uploaded image

Answer:

a) Yes, selecting 15 corresponds to a binomial experiment

b)

c)

d) P(r = 15) = 3.2768 *10^{-11}

Step-by-step explanation:

Regarding question a:

For an experiment to qualify as binomial

the trials have to be independent

each trial must yield one of two possible outcomes

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Therefore, we conclude that the selection of 15 people at random is indeed a binomial experiment.

In question b:

The probability that all selected adults do not save for retirement is mathematically modeled as

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Here C signifies combination

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n refers to the population size equating to 15

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and q can be calculated as

=>

=> q = 1 - p

Thus

P(r = 15) = ^{15}C_{15} * p^{15} * q^{15-15}

P(r = 15) = 3.2768 *10^{-11} Regarding question c:

The probability that exactly five of the selected adults do not save for retirement is mathematically modeled as

P(r = 5) = ^{15} C_5 * (0.20)^5 * (0.80)^{15}

P(r = 5) = 0.1032

In relation to question d:

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P(r \ge 1 ) = 1 - P (r = 0 )

P(r \ge 1 ) = 1 - [ ^{15} C _ 0 * (0.20)^{0} * (0.80 )^{15}]

P(r \ge 1 ) = 1 - 0.0352

P(r \ge 1 ) = 0.9648

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