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scoray [572]
3 years ago
7

The Mathematics Department at Sun Tan University is sending a delegation of mathematicians and graduate students to a conference

. They will pay for 4 mathematicians and 5 graduate students to go. If the department has 16 mathematicians and 24 graduate students, how many different delegations are possible?
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0
Since order does not matter, we use combinations to find the total number of delegations.
We have 4 out of 16 mathematicians: 16C4
And 5 out of 24 graduate students: 24C5
Multiplying: 16C4 x 24C5
= 16!/(12!4!) * 24!/(19!5!)
= (16*15*14*13)/(4*3*2) * (24*23*22*21*20)/(5*4*3*2)
= 77,357,280 delegations
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Combine any like terms in the expression. If there are no like terms, rewrite the expression.
Verdich [7]

Answer:

4t

Step-by-step explanation:

Note that teach term has the variable t in it. Also, note that if t is by itself, it actually means 1t. Combine the given constants:

5t + 1t - 2t

= (5t + 1t) - 2t

= (6t) - 2t

= 4t

4t is your answer.

~

3 0
2 years ago
4 1/6 + 5 2/3<br><br> Enter your answer as a mixed number in simplest form
anyanavicka [17]

Answer:9 5/6

Step-by-step explanation:

4 0
1 year ago
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1. Use the formula S(d)=√9.8d to calculate the estimated speed, in meters per second, of a tsunami if the disturbance occurred a
postnew [5]

Answer: 1. 210 meters per second .

2.  756  kilometers per hour.

Step-by-step explanation:

Given : The formula S(d)=\sqrt{9.8d} to calculate the estimated speed, in meters per second of a tsunami.

1. If the disturbance occurred at an ocean depth of 4,500 meters.

Then put d= 4500 in the above formula , we get

S(d)=\sqrt{9.8\times4500}

S(d)=\sqrt{44100}=\sqrt{21\times21\times10\times10}\\\\=\sqrt{210^2}=210

Hence, if the disturbance occurred at an ocean depth of 4,500 meters , the estimated speed would be 210 meters per second .

Also, A meter per second is equal to 3.6 kilometers per hour.

i.e. 1 meter per second = 3.6 kilometers per hour

Then by unitary method ,

210 meters per second  =3.6\times210 kilometers per hour

=756  kilometers per hour.

3 0
3 years ago
Cheddar cheese costs 7.50 for 1 kg Marie buys 200 grams of cheddar cheese how much does she pay
Varvara68 [4.7K]
Marie would pay $1.50 because 200 grams is .2 Kg and you would multiply 7.50 by .2 and you'd get your answer
8 0
3 years ago
Read 2 more answers
If f(x)=-3x-2, find f(-2)+9
mash [69]

Answer:

13

Step-by-step explanation:

Replace the variable x with -2 in the expression.

f (-2) = -3 x -2 -2

Simplify (-3 x -2 -2) + 9

Multiply -3 by -2

6 - 2 + 9

Subtract 2 from 6

4 + 9

add 4 and 9

13.

4 0
2 years ago
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