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fgiga [73]
3 years ago
8

In how many ways can we choose a 12 member jury from 30 possible people?

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
3 0
This is a problem dealing with permutations and combinations.
Order does not matter in this problem.
Since order doesn't matter, it is a combination.
Repetition matters, since you can't have the same person count as two people.

There are twelve slots.

_ _ _ _ _ _ _ _ _ _ _ _ 

Each slot needs to be multiplied by the next.

_*_*_*_*_*_*_*_*_*_*_*_

Now we have to fill in the slots.
Each slot will be filled with a number one less than the one before it. It has to be one less, since repetition matters.
The numbers will be decreasing from 30, since there are 30 possible people.

30 * 29 * 28 * 27 * 26 * 25 * 24 * 23 * 22 * 21 * 20 * 19

Multiply these numbers together and you get your answer.

41,430,393,164,160,000 ways
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Given rectangle QUAD, If DU = 5x - 4 and QP = 2x + 7, then find the length of DU.
ira [324]

Answer:

DU = 86

Step-by-step explanation:

Properties of a rectangle,

- Opposite sides are equal in measure.

- Diagonals of a rectangle are equal.

- Diagonals bisect each other.

In the given rectangle QUAD,

Diagonals AQ and DU bisect each other at P.

AQ = DU

2(QP) = DU [Since, AQ = 2(PQ)]

2(2x + 7) = 5x - 4

4x + 14 = 5x - 4

5x - 4x = 14 + 4

x = 18

Since, DU = 5x - 4

DU = 5(18) - 4

     = 90 - 4

     = 86

Therefore, measure of DU = 86 units

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3 years ago
Sandy's orchard has only 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 av
LUCKY_DIMON [66]
<span>current ratio: 4 apple trees for every 3 pear trees. wants: 2 avocado trees for every 5 pear trees in the orchard. Sandy is planting 18 avocado trees so 2 avocado trees for every 5 pear trees =1 avocado trees for every 2.5 pear trees therefore if we have 18 avocado trees 18 x 2.5 = 45 pear trees 4 apple trees for every 3 pear trees 4/3 = 1.333 apple trees for every 1 pear tree therefore if we have 45 avocado trees 45 x 1.333 = 60 apple trees therefore ratio of avocado to apple trees = 18 : 60 18 : 60 = 9 : 30 = 3 : 10</span>
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For a circle.

Step-by-step explanation:

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I just did the test hope this helps :)
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