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Alex
3 years ago
13

A drawer contains 12 brown socks and 12 black socks, all unmatched. A man takes socks out at random in the dark. 21. Required in

formation The least number of socks that he must take out to be sure that he has at least two black socks is _____.
Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

6  socks

Step-by-step explanation:

What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.

There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:

12/24

and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:

11/23

the final probability is the multiplication of these events:

(12/24) * (11/23)

P = 0.24

Now, to know how many you should get, we multiply the probability by the total number of socks, that is:

0.24 * 24 = 5.76

So you must take out at least 6 socks for the above to happen.

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Answer:

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Hope this helps

8 0
3 years ago
Read 2 more answers
The ratio of the side lengths of a quadrilateral is 3:2:6:7, and its perimeter is 126 meters. What is the length of the shortest
scoundrel [369]

since the lengths of all those four sides are in a 3:2:6:7 ratio, and the whole perimeter is 126, what we do is, simply divide the whole by (3+2+6+7) and distribute accordingly.


\bf \stackrel{3\cdot \frac{126}{3+2+6+7}}{3}~~:~~\stackrel{2\cdot \frac{126}{3+2+6+7}}{2}~~:~~\stackrel{6\cdot \frac{126}{3+2+6+7}}{6}~~:~~\stackrel{7\cdot \frac{126}{3+2+6+7}}{7} \\\\\\ 3\cdot \cfrac{126}{18}~~:~~2\cdot \cfrac{126}{18}~~:~~6\cdot \cfrac{126}{18}~~:~~7\cdot \cfrac{126}{18} \\\\\\ 21~~:~~\stackrel{shortest}{14}~~:~~42~~:~~49

7 0
3 years ago
Can someone help with this
mixas84 [53]

Step-by-step explanation:

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5 0
2 years ago
Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasiang<br><br><br><br> help
Degger [83]
Please use " ^ " to denote exponentiation:  

<span>f(x) = –(x + 8)^2 – 1 
Find the first derivative:  f '(x) = -2(x+8)(1)
Set this = to 0:  -2(x+8) = 0
solve for x:  x = -8
Divide the number line into subintervals based upon x=-8:

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Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.

Subst. this test value into the derivative, shown above.

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Questions welcome!</span>
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3 years ago
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Lesechka [4]

Answer:

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Step-by-step explanation:

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5 0
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