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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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A population of 1200 rabbits increases by 2.5% each year. At the end of 5 years, there will be approximately 1,358 rabbits in th
lubasha [3.4K]

Answer: y= 1200 (1.025)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t  

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

1200= 1200 (1+ 2.5/100)^5

1200= 1200 (1+ 0.025)^5

1200= 1200 (1.025)^5

For the number of rabbits, y, at the end of t years

y= 1200 (1.025)^t

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Find sin (A-B) if sin A = 4/5 with A between 90 and 180 and if cos B = 3/5 with B between 0 and 90
quester [9]

Answer:

sin(A-B) = 24/25

Step-by-step explanation:

The trig identity for the differnce of angles tells you ...

sin(A -B) = sin(A)cos(B) -sin(B)cos(A)

We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.

And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.

Then ...

sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25

The desired sine is 24/25.

3 0
3 years ago
the ratio of pine trees to elm trees in a park is 7:11. How many pine trees are there in the park if there are 68 more elm trees
Hitman42 [59]

Answer:

<em>The number of </em><em>pine tree is 119</em><em> and the number of </em><em>elm tree is 187.</em>

Step-by-step explanation:

The ratio of pine trees to elm trees in a park is 7:11

Let us assume that the number of pine tree is 7x and the number of elm tree is 11x.

It is also given that, there are 68 more elm trees as compared to the pine trees.

i.e 11x=7x+68

\Rightarrow 11x-7x=68

\Rightarrow 4x=68

\Rightarrow x=17

Hence, the number of pine tree = 7x=7\times 17=119 and the number of elm tree = 11x=11\times 17=187

8 0
3 years ago
If point A (-5, -3) is reflected across the X-axis, What quadrant will the reflection be located in?​
AnnyKZ [126]
It will be (-5, 3) so quadrant 2
8 0
2 years ago
a cyclist rides her bike at a speed of 2 meters per second. what is the speed in kilometers per hour? how many kilometers will t
zaharov [31]

1) 2m/s = 2*18/5 =7.2Km/h

2)In 3 hour, he would travel, 7.2*3 = 21.6Km.

7 0
2 years ago
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