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NeX [460]
3 years ago
12

The average person drinks 1 pint of milk a day. At this rate, how many gallons will a person drink in a leap year

Mathematics
2 answers:
julsineya [31]3 years ago
5 0

Answer:

45.75 gallons

Step-by-step explanation:

There are 365 days in a regular year. A leap year adds 1 more day so there are 366 days in a year.

Drinking 1 pint a day will result in 366 pints in a leap year.

To find the number of gallons, divide 366 / 8 since there are 8 pints in 1 gallon.

366 / 8 = 45.75 gallons

alexira [117]3 years ago
5 0

46 gallons!

1 pint x 364 days = 364 pints

1 pint is equal to 0.12500009 gallons

So, 364 x 0.12500009 = 46!

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A power system will collapse if a ground fault occurs on any two of lines A, B, and C simultaneously. Assume that ground faults
nadya68 [22]

Answer:

0.000298 = 0.0298% probability that the system will collapse

Step-by-step explanation:

Number of possible ways the system can fail:

2 lines from a set of 3 fail, or all three fail.

Two from a set of 3:

Can be A and B, A and C, or B and C. Three possible outcomes then.

The probability of each is:

0.01*0.01*0.99

Two failling, each with 0.01 probability, and 1 working, with 0.99 probability.

All three:

Each with 0.01 probability.

a) What is the probability that the system will collapse

Both cases, so

p = 3*(0.01)^2*0.99 + (0.01)^3 = 0.000298

0.000298 = 0.0298% probability that the system will collapse

5 0
3 years ago
Un padre tiene actualmente cuatro veces la edad de su hijo. Cuando pasen 5 años, su edad será solo tres veces superior. ¿Qué eda
julsineya [31]

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

  • Sea la edad del padre P.
  • Sea la edad del hijo h.

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

<em>h = 10 años </em>

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

<em>P = 40 años</em>

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3 years ago
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