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erica [24]
3 years ago
12

A hiker attempting to cross a wilderness area has two GPS systems of intermittent reliability because of the areas remoteness .f

rom past experience he estimates that at any moment the probability that system I will work is 0.85, that system II will work is 0.90 , and both will work is 0.80 . the probability that at any moment at least one of the systems will work is about___________.A. 0.87
B. 0.92
C. 0.75
D. 0.95
E. 0.88
Mathematics
1 answer:
ale4655 [162]3 years ago
5 0

Answer:

D. 0.95

Step-by-step explanation:

The probability that at any moment, at least one of the systems will work is determined by the probability that system I works, added to the probability that system II works, and subtracted by the probability that both systems work:

P(S_I\cup S_{II}) =P(S_I)+P(S_{II})-P(S_I\cap S_{II})\\P(S_I\cup S_{II}) =0.85+0.90-0.80\\P(S_I\cup S_{II}) =0.95

The probability that at any moment at least one of the systems will work is about 0.95.

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Three consecutive odd integers are such that the square of the third integer is 1515 greater than greater than the sum of the sq
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Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol de campeonato. Los conductores tienen auto
NemiM [27]

Esta pregunta esta incompleta

Pregunta completa

Se necesitan conductores voluntarios para llevar a 80 estudiantes al juego de béisbol del campeonato. Los conductores cuentan con automóviles, con capacidad para 4 estudiantes, o camionetas, con capacidad para 6 estudiantes. La ecuación describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes.

Seleccione todas las afirmaciones que sean verdaderas sobre la situación.

a) Si van 12 coches, se necesitan 2 furgonetas.

b) c = 14 y v = 4 son un par de soluciones de la ecuación.

c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.

d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.

e) Si pasan 20 autos, no se necesitan camionetas.

f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.

Answer:

La opción b, e y f.

Step-by-step explanation:

Pasando por las opciones dadas:

c = coches que pueden llevar a 4 estudiantes

v = furgonetas con capacidad para 6 estudiantes

a) Si van 12 coches, se necesitan 2 furgonetas.

= 12 (4) + 2 (6)

= 48 + 12

= 60

60 ≠ 80

La opción a es incorrecta

b) c = 14 y v = 4 son un par de soluciones de la ecuación.

14 (4) + 4 (6)

56 + 24 = 80 estudiantes

La opción b es correcta

c) Si van 6 coches y van 11 furgonetas, habrá espacio adicional.

Por lo tanto:

5 (4) + 11 (6)

= 20 + 66

= 86.

86 es mayor que 80, la opción c es correcta, habría un espacio adicional para 6 estudiantes.

d) 10 coches y 8 furgonetas no son suficientes para transportar a todos los estudiantes.

Por lo tanto:

10 (4) + 8 (6)

40 + 48

= 88

e) Si pasan 20 autos, no se necesitan camionetas.

20 (4) = 80 estudiantes

La opción e es correcta

f) 8 furgonetas y 8 coches son números que cumplen con las limitaciones en esta situación.

8 (6) + 8 (4)

= 48 + 32

= 80 estudiantes.

La opción b es correcta

Por lo tanto, la ecuacióna que describe la relación entre la cantidad de automóviles y la cantidad de camiones que pueden transportar exactamente 80 estudiantes es la opción b, e y f.

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2 years ago
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