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labwork [276]
2 years ago
10

Julia is casting a play with 4 main roles. Six students

Mathematics
1 answer:
aev [14]2 years ago
7 0

Using the combination formula, it is found that Julia can take 15 combinations.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

For this problem, 4 students are taken from a set of 6, hence the number of combinations is given as follows:

C_{6,4} = \frac{6!}{4!2!} = 15

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

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3 years ago
An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of
vodka [1.7K]

Answer:

Actual speed = 288 miles per hour

Actual direction angle = 116.38^\circ

Step-by-step explanation:

"Bearing" is the relative position of an object outside the plane compared to the position of the plane.  

Heading the the direction the nose of the plane is pointing.  

Course is the direction that pilot wants the plane to go.  

Wind direction is always the direction the wind is blowing from.  

The airplane is traveling at a speed of 240 miles/hour with a bearing of 110°.  

If the plane is traveling with a bearing of 110° and the wind is blown at a bearing of 325°.  

 325^{\circ}- 110^{\circ} =225^{\circ}

215^{\circ}- 180^{\circ} =35^{\circ}

The Ground speed will be in excess of the airspeed and true direction will be south if the indicated heading.  

The tailwind component is:

56 cos (35^\circ)

And the cross wind component is:

56 sin (35^\circ)  


And that is,

C^2 = (286)^2 + (32)^2


c = 288

So the actual speed of the plane is 288 miles per hour.

The deviation in the direction is:

Let the direction angle be 'x'.

x = tan ^{-1}\left ( \frac{32}{286} \right )=6.38^\circ

So the actual direction angle is 110^\circ+ 6.38^\circ=116.38^\circ.

5 0
3 years ago
Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach
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Well what I would do first is divide the 900 student by the 445 teacher to get 20 students per teacher. Now I would take that 20 and multiply it by 110 teacher to get 2200 Students.

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Answer:

Please see attached picture for full solution.

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Answer:

I believe that it would be A+C+S but is there more to the question?

Step-by-step explanation:

5 0
3 years ago
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