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AveGali [126]
2 years ago
15

What is the correct ratio?

Mathematics
1 answer:
damaskus [11]2 years ago
5 0

Answer:

A: 9/40

Step-by-step explanation:

Hopefully this helps!

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Prove that C(50,3) + C(50,4) = C(51,4)
valkas [14]

By definition of the binomial coefficient,

C(n,k) = \dfrac{n!}{k!(n-k)!}

so we have

C(50,3) + C(50,4) = \dfrac{50!}{3!47!} + \dfrac{50!}{4!46!} \\\\ = \dfrac{50!}{3!46!} \left(\dfrac1{47} + \dfrac14\right) \\\\ = \dfrac{50!}{3!46!} \times \dfrac{51}{188} \\\\ = \dfrac{51!}{3!46!} \times \dfrac1{4\times47} \\\\ = \dfrac{51!}{4!47!} \\\\ = \dfrac{51!}{4!(51-4)!} = C(51,4)

as required.

5 0
2 years ago
Solve for n.<br> n<br> 2–1 &lt; 3
Schach [20]

N 2-1 < 3

n is equal to :

2-1 = 1 so n would have to be 1 in order to be less than 3

5 0
3 years ago
Read 2 more answers
6+16k factored using the GCF
ICE Princess25 [194]
2 is the GCF 3+8k

Hope this answer helps you
8 0
3 years ago
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2 to the power of 3+7+6÷2 BDMAS PLEASE HELP GUYS SCHOOL IN 30 MINUTES​
chubhunter [2.5K]

Answer:

10.5

Step-by-step explanation:

Break the problem down into small parts:

2 to the power of 3= 8

8+7+6=

15+6=21

21/2

21 divided by 2 is 10.5

Hope this helps!

7 0
2 years ago
The difference between two numbers is 4. Three times the larger is 2 more than five times the smaller. Find the numbers.
Vitek1552 [10]

Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given 
Now we can just substitute; let x=4+y 
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11 
8 0
3 years ago
Read 2 more answers
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