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seropon [69]
3 years ago
10

Which of the following is true of rounding the optimized solution of a linear program to an integer?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
6 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

the optimized solution of a linear program to an integer as it does not affect the value of the objective function.

As if we round the optimized solution to the nearest integer, it does not change the objective function .

while it is not true that it always produces the most optimal integer solution or feasible solution.

Hence, Option 'c' is correct.

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A European high-speed passenger train is made up of two first-class passenger cars, five second-class cars, and a restaurant car
Sliva [168]

Answer:

The train can be made up in a total of \frac{8!}{5!2!} ways

Step-by-step explanation:

FIrst, lets assume that all cars are distinct. If that is the case, then, since we have a total of 8 cars, we have

- 8 possibilities for the first car

- 7 possibilities for the second car

- 6 possibilities for the third car

and so on.

So we have a total of 8! = 8*7*6*...*3*2*1 possibilities to make a train.

Now lets take into account that 5 of the cars are identical within each other. Then we could make a permutation of those 5 cars and we wouldnt notice. Hence, the order of the 5 cars of second-class doesnt matter and as a result, we should divide 8! by the total of possible permutations of the 5 second class cars, that it, 5!

We also need to divide the result by 2! = 2, because which first class car came first doesnt matter either. Therefore, the train can be made up in a total of \frac{8!}{5!2!} ways.

8 0
3 years ago
You run around the perimeter of the baseball field at a rate of 9 ft. per second. How long does it take you to run around the ba
Nataliya [291]

Answer:

Step-by-step explanation:

Perimeter of a shape is the total distance around it.

The formula for determining the perimeter of a circle is

Perimeter = 2πr

Where

r represents radius of the circle.

π is a constant whose value is 3.14

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The perimeter of the base ball field would be

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Time it will take you to run around the baseball field is

1165.2/9 = 129.5 seconds

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3 years ago
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If its talking about the temperature decreased it would be -11 but it's asking for an integer
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3 years ago
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What is ttm mean? And what do you mean by points?

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3 years ago
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Juliette [100K]
Triangle,quadrilateral,pentagon,hexagon,octagon,decagon. 

Triangle quadrilateral octagon - regular
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3 0
3 years ago
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