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wolverine [178]
3 years ago
8

You cannot remember your 4-digit bike-lock combination. What is the probability that you guess the combination correctly? (Enter

your probability as a fraction.)
=_________
Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
3 0
1/10000 every try














..................
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The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
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(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

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from general equation:

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3 years ago
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6(3)-3

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6 0
2 years ago
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Ben’s driving test had 40 questions and he correctly answered 12 more than he missed. How many questions did he miss?
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Total = Right + Miss ⇒ t = r + m

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3 0
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Evaluate 11c3 and 11p4
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_{n}C_{r} = \frac{n!}{r!(n-r)!}  \\ \\ _{11}C_{3}= \frac{11!}{3!*(11-3)!} =\frac{11*10*9*8*7*6*5*4*3*2*1}{3*2*1*8*7*6*5*4*3*2*1} =\frac{11*10*9}{3*2} =165 \\ \\_{11}C_{4}=\frac{11!}{4!(11-4)!} =\frac{11*10*9*8*7!}{4!*7!} =\frac{11*10*9*8}{4*3*2*1} =330

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3 years ago
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