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3 years ago

There are 12 people in a class. 10 are randomly chosen. How many possible combinations are there?

Mathematics

1 answer:

Mazyrski [523]3 years ago

3 0

long way

12 x 11 x 10 x 9 x 8 x 7 x6 x5 x4 x3x2/ 10x9x8x7x6x5x4x3x2x

but you can shorten that by crossing out identical numbers so you get 12 x 11

12 x 11 = 132 combinations

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Not including four play in games, there are 64 teams in the tournament. once a team loses one game they are eliminated. how many

Natasha_Volkova [10]

Every time teams play with each other (assuming there are no draws) half of them win
and the others get eliminated so
64÷2=32 32 games played and 32 teams eliminated
32÷2=16 16 games played and 16 teams eliminated
16÷2=8 the same goes here
8÷2=4 and here
4÷2=2 .
2÷2=1 .

32+16+8+4+2+1=63 games

7 0

4 years ago

Kdhdihfufngdjfhfhfjdjdyfifnfyf please help

ladessa [460]

Answer:

mean: 6.9

median: 7

range: 2

Step-by-step explanation:

7 0

3 years ago

Three of the sides will require fencing and the fourth wall already exists. If the farmer has 116 feet of fencing, what are the

dolphi86 [110]

Answer:

29 ft x 58 ft

Step-by-step explanation:

Let x be the length of each side perpendicular to the wall, and y be the length of the side parallel to the wall.

The amount of wire available is:

$116 = 2x+y\\y=116-2x$

The area of the region is:

$A=xy=x(116-2x)\\A(x)=116x-2x^2$

The value of 'x' for which the derivate of the area function is zero will yield the maximum area:

$A(x)=116x-2x^2\\A'(x) = 116-4x=0\\x=29\ ft$

The value of y is:

$y=116-2*29\\y=58\ ft$

The dimensions of the region with the largest area are 29 ft x 58 ft.

7 0

3 years ago

Giving branliest pls help

Natasha2012 [34]

Answer:

${( \frac{ {2x}^{4} {y}^{4} }{ {4x}^{2} } )}^{3} \\$

open the bracket:

$= \frac{ {2x}^{(4 \times 3)} {y}^{(4 \times 3)} }{ {4x}^{(2 \times 3)} } \\$

simplify:

$= \frac{ {2x}^{12} {y}^{12} }{ {4x}^{6} } \\$

group x terms together:

$= ( \frac{ {2x}^{12} }{ {4x}^{6} } ) \times {y}^{12} \\ \\ = (\frac{ {x}^{(12 - 6)} }{2} ) \times {y}^{12} \\ \\ = \frac{ {x}^{6} }{2} \times {y}^{12}$

factorise out power 6:

${ \boxed{= \frac{ {(xy {}^{2}) }^{6} }{2} }}\\$

3 0

3 years ago

Micheal runs 8m, South then turns around and runs 12m North. what is the distance and displacement covered?

Dmitriy789 [7]

Answers:

Distance = 20 meters
Displacement = 4 meters North

=================================================

Explanation:

To find the distance traveled, we add the two values to get 8+12 = 20 meters.

------------

For the displacement, I recommend drawing a vertical number line. Mark the values 0, -8 and 4 on the number line. Going from 0 to -8 represents going 8 meters south. From -8, move up 12 units and you should arrive at 4 on the number line, which represents being 4 meters north of the original position 0. The displacement only cares about the start and end points, more specifically, the change between the two. The direction is also important for the displacement.

In other words, Michael started at 0, did a bunch of movements, and ended up at 4 on the number line. So we can simplify all those movements to one single movement of "move north 4 meters" to represent the displacement.

As you can see, it's possible to get a displacement of 0 meters, which is not the case for the distance traveled in the previous section.

8 0

2 years ago