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DanielleElmas [232]
3 years ago
14

The student body of 24 students

Mathematics
1 answer:
postnew [5]3 years ago
7 0

There are 10,626 ways of arranging the required offices from a body of 24 students.

<h3>What is combination?</h3>

Combination deals with the way in which a arrangement can be made from a particular lot. In  this case, we want to select  a president, minister of Arts, minister of PE department, and minister of Science from a body of 24 students.

Hence;

24C4 = 24!/4! (24 - 4)! = 24!/4!20!

So;

24 * 23 * 22 * 21 * 20!/20! * 4 * 3 * 2*1

= 24 * 23 * 22 * 21 / 4 * 3 * 2*1

= 10,626 ways

Learn more about combination: brainly.com/question/26852614

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Simplify (3x)-1. A. 81x^4. B. 4x^6. C. 1/3x. D. 1/x^6
elena55 [62]
If you mean: (3x)^-1

When you have a power to a negative number (1 in this case), place the power on the numerator, with the base in the denominator.

(3x)^-1 = 1/3x

1/3x, or C) is your answer


hope this helps
3 0
3 years ago
Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59
andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree

So, we will use "Sine formula ":

\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet

Similarly,

\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

4 0
3 years ago
Read 2 more answers
1/6 times what is 4<br> please answer asap
Scorpion4ik [409]
Answer is 24, becuase if you just do the opposite, 4 divided by 1/6 you get 24
6 0
4 years ago
Read 2 more answers
After a 2 1/2 hour rainstorm, there are 5 inches of water in a bucket outside. What is the rate per inch?
xeze [42]

Answer:

2 inches per hour

Step-by-step explanation:

2 1/2 hours is equivalent to 150 minutes.

Set up a proportion; let x equal inches of rain

\frac{5}{150}=\frac{x}{60}

Cross multiply -> 150x=300

Divide both sides by 150 to get -> x=2

5 0
3 years ago
How do u write 25% as a fraction or mixed number?
mixas84 [53]

Answer:

fraction- 1/4

8 0
3 years ago
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