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AnnZ [28]
2 years ago
11

Find the number C(10,6)

Mathematics
1 answer:
EastWind [94]2 years ago
5 0

Answer:

210.

Step-by-step explanation:

Combination formula is

nCr = \frac{n!}{r!(n-r)!}

Then, we have that n = 10 and r=6:

C(10,6) = \frac{10!}{6!(10-6)!}

C(10,6) = \frac{10!}{6!4!}

To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.

C(10,6) = \frac{6!*7*8*9*10}{6!4!}

C(10,6) = \frac{7*8*9*10}{4!}

C(10,6) = \frac{5040}{4*3*2*1}

C(10,6) = \frac{5040}{24}

C(10,6) = 210.

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What is the slope of the line NP
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Answer:

The slope of NP is \frac{-5}{7} ⇒ B

Step-by-step explanation:

  • In any square, every two opposite sides are parallel and every two consecutive sides are perpendicular
  • Parallel lines have the same slope
  • The product of the slopes of the perpendicular lines is -1, which means if the slope of one m, then the slope of the other is \frac{-1}{m} (reciprocal m and change its sign)
  • The rule of the slope of the line which passes through the points (x1, y1) and (x2, y2) is m = \frac{y2-y1}{x2-x1}

In square MNPR

∵ MN and NP are adjacent sides

∴ MN ⊥ NP

∵ M = (3, 8) and N = (-2, 1)

∴ x1 = 3 and y1 = 8

∴ x2 = -2 and y2 = 1

→ Use the rule of the slope above to find the slope of MN

∴ m(MN) = \frac{1-8}{-2-3}

∴ m(MN) = \frac{-7}{-5}

∴ m(MN) = \frac{7}{5}

∵ MN ⊥ NP

∴ The product of their slopes = -1

→ Reciprocal the slope of MN and change its sign

∴ m(NP) = \frac{-5}{7}

∴ The slope of NP is \frac{-5}{7}

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

If 62% go to a four-year college, that means that those who don't represent 38% of the high-school graduates.

You pick up someone who is NOT going to a four-year college (so, he's among the 38%)... what's the chance he's in the 18% of the whole high-school graduates population that found a job?

To calculate that probability, we have to divide 18% by 38%.

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Since we are sure he doesn't go to a four-year college, there's 47.4% of chances he finds a job.

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