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Montano1993 [528]
3 years ago
12

The number of Proper subsets of a set with m element

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

In general, number of proper subsets of a given set = 2m - 1, where m is the number of elements.

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Nadia built a robot to filter air and water efficiently she expects the robot to filter more than 343 liter of air and water whi
crimeas [40]

Step-by-step explanation:

If she is able to achieve her aim, then the robot is very efficient, as it uses as low as 49 joules in filtering 343 litres of air and water.

It will now be a question of what time the robot is able to achieve this feat, if it is able to do it in a time that matches the quality of the work it does, then it will be reasonable to call the robot efficient, and fast too.

7 0
3 years ago
a product code consists of picking a two-digit number (including 00) and 3 not necessarily distinct letters. How many codes are
Brrunno [24]

Answer:

The codes are:

N,_,_,_

Where each _ represents a possible letter, out of 26.

And N is a number of two digits.

So in total we can think that we have 5 empty slots.

_,_,_,_,_

In the first slot we can put any digit between 0 and 9, so here we have 10 options.

In the second slot we can put any digit between 0 and 9, so here we have 10 options.

In the third slot we can put any letter, so here we have 26 options (and exactly the same for the fourth and fifth slots)

The total number of different combinations is equal to the product of the number of options for each slot.

C = 10*10*26*26*26 = 1,757,600

Now, if we want to have at least one nine, we can fix it in the first slot.

Then we have:

in the first slot we have only one option (the 9)

In the second slot we can put any digit between 0 and 9, so here we have 10 options.

In the third slot we can put any letter, so here we have 26 options (and exactly the same for the fourth and fifth slots)

The number of combinations is:

C = 1*10*26*26*26 = 175,760

But we also should consider the case where we fix the 9 in the second slot, so the actual number of combinations is twice the number above.

C = 2*175,760 = 351,520

The probability that the code does not contain the number 9.

Now in the first slot we have only 9 options, all the whole numbers between 0 and 8.

The same for the second slot, 9 options.

For the third, fourth and fifth slot is the same as before.

The total number of combinations is:

C = 9*9*26*26*26 = 1,423,656

4 0
3 years ago
Please help me solve this
grigory [225]

Answer:

The length of river D is 2550

length of river C is 2550+500=3050

Step-by-step explanation:

Let the river D be 'x'

and the river C is (x+500)

x + x + 500 = 5600

2x + 500 = 5600

2x = 5600 - 500

2x = 5100

x = 5100/2

x = 2550

The length of river D is 2550

length of river C is 2550+500=3050

7 0
2 years ago
A drive-in theater costs $20 per car, plus an additional fee of $4 per person. The cost, C, of the movie when p people are in th
ozzi

Answer:

P=\frac{C}{4} -5

Step-by-step explanation:

Step one:

given

cost  per drive= $20

additional fee per person= $4

let the number of persons be p

and the total cost be C

The total cost function is expressed as

C=20+4p

Step two:

Required:

<u><em>We want to make P subject of the cost function </em></u>

Take 20 to the other side we have

C-20=4p

divide through by 4

P=C-20/4

simplify

P=C/4-5

P=\frac{C}{4} -5

8 0
3 years ago
The graph below represents a library fine
Llana [10]
The graph shows that the fee caps at 21 days. If the fee was the same today as it was yesterday, that means she must be at least 22 days late as it is the first day the fee is the same as the day before.
5 0
3 years ago
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