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vlada-n [284]
4 years ago
11

Can someone please help me on this problem

Mathematics
1 answer:
guapka [62]4 years ago
5 0
Can u give me a more clearer picture
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A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If8 flutists try out, and 11 trumpeters
tensa zangetsu [6.8K]

A town orchestra needs 3 new flute players and 4 new trumpet players. 8 flutists and 11 trumpeters try out, then the orchestra should select 3 flutists from 8 and 4 trumpeters form 11.

They can choose 3 flutists from 8 in

C_8^3=\dfrac{8!}{3!(8-3)!}=\dfrac{8!}{3!\cdot 5!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8}{1\cdot 2\cdot 3\cdot 1\cdot 2\cdot 3\cdot 4\cdot 5} =56 ways.

They can choose 4 flutists from 11 in

C_{11}^4=\dfrac{11!}{4!(11-4)!}=\dfrac{11!}{4!\cdot 7!}=\dfrac{1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8\cdot 9\cdot 10\cdot 11}{1\cdot 2\cdot 3\cdot 4\cdot 1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7} =330 ways.

Use the product rule: 56·330=18480 ways for conductor to choose his new members.

3 0
3 years ago
Evaluate the expression 3x^2+ y if x = 1 and<br> y = -3.
elena-14-01-66 [18.8K]
3(1)^2-3= 0
Plug in the numbers because x=1 plug In 3(1)^2 and it equals 3 then subtract y which is 3-3= 0
4 0
3 years ago
What is the volume of a cube if the diagonal of one side is 5sqrt(2)<br>Must include diagram ​
jenyasd209 [6]

The what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units

<h3>What is a square?</h3>

A square is a shape with 4 sides

Let the side of the square be x units. If the length of the diagonal is 5√2, the value of x can be expressed using the pythagoras theorem as shown;

x² + x² = (5√2)²

2x²  = 25(2)

x² = 25

x = 5 units

Determine the volume

V = x³

V = 5³

V = 125 cubic units

Hence the what is the volume of a cube if the diagonal of one side is 5sqrt(2) is V = 125 cubic units

Learn more on volume of cube here: brainly.com/question/1972490

#SPJ1

5 0
2 years ago
What are the factors of 36? <br> And is it prime or composite
stepladder [879]

Answer:

Step-by-step explanation:

Notice that

96 = 9 \times 4\\= 3^2 \times 2^2\\

So the factors of 36 are all of the form 3^a\times 2^b[\tex] where [tex]0\leq a,b\leq 2.

If we list all of them we have

3 0
3 years ago
Read 2 more answers
5=1 2/3x how do I solve for x?
LiRa [457]

You'll first Cross multiply: 5× 3x

that'll give you 15x.

15x=12(12 is a numerical constant).

Divide both sides by the the coefficient of X .That is 15x/15= 12/15

Therefore the answer is 12/15= x

7 0
2 years ago
Read 2 more answers
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