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Answers ( 521 )
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    Fixida, why does 94*15.5 = 141. There are something wrong here.
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    ANSWER:

    Recall that a number is divisible by 4 if the two-digit number formed by the tens and ones digits is divisible by 4. Using the digits 1, 2, 3, 4 and 5, the following two-digit multiples of four can be formed: 12, 24, 32 and 52. There are 5 × 4 = 20 permutations of two digits chosen from the digits 1, 2, 3, 4 and 5. Therefore, the probability that the five-digit number is divisible by 4 is 4/20 = 1/5.

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    ANSWER:

    Multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, … . It appears that every fifth multiple of 3 is also a multiple of 5. The percent probability that a randomly selected multiple of 3 is also a multiple of 5 is 1/5 = 20%.

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    ANSWER:

    After that circuit is turned on, lights A and B will blink together every 55 seconds. Lindsey sees light A blink alone. Because light B blinks once every 11 seconds, and it did not blink this time, it will blink in one of the 10 following seconds, with equal lihood. In 5 of those cases, it will blink before or at the same time as light A; and in the other 5 cases, light A will blink alone first. Therefore the probability that the next light to blink will be light A blinking alone is 5/10 = 0.50 = 50%. Alternative solution: Whether or not light B blinks with A, A will always blink alone twice before the next time light B blinks. When she sees light A blink alone, it could be either the first or the second time, so the probability that it’s the first time is 50%.

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    ANSWER: 

    The probability that the nickel comes up heads is 1/2. The probability that one or more of the other two coins comes up heads is 3/4. The probability that at least two heads come up, with one of them being the nickel, is 1/2 × 3/4 = 3/8.

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    ANSWER:

    The probability of pulling out two green socks is 2/5 × 1/4 = 1/10. The probability of pulling out two blue socks is 3/5 × 2/4 = 3/10. The probability, therefore, of randomly pulling out a matching pair of socks is 1/10 + 3/10 = 4/10 = 2/5.

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    ANSWER:

    Danya can get a total of 10 with two or three chips if the first two chips drawn are 4 and 6, which can occur in 2 ways, or if the first three chips drawn are 2, 3 and 5, which can occur in 6 ways. There are 5 × 4 = 20 ways to randomly select two chips, and there are 5 × 4 × 3 = 60 ways to randomly select three chips. The probability that Danya’s total will equal 10 at some point is 2/20 + 6/60 = 1/10 + 1/10 = 2/10 = 0.2

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    ANSWER:

    There are 8 situations of the cup. Only two of the cups contain three or more dimes. Therefore, the probability that Max randomly selects one of these cups is 2/8 = 1/4.

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    ANSWER:

    In a standard deck of 52 playing cards, the red number cards greater than 6 are the 7, 8, 9 and 10 in the suits of diamonds and hearts. That’s a total of 8 cards. The percent probability that Perta randomly selects one of these 8 cards, then, is 8/52 ≈ 15.38%.

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    He has:  \(\dfrac{1}{3}-\dfrac{1}{4}=\dfrac{1}{12}\left(pizza\right)\) left for lunch.

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    \(124:8=15,5\)

    If there are 15 cars, it will only carry 120 people (there are still 4 people)

    If there are 16 cars, it will carry all 124 people

    So to take 124 people, 16 cars are needed.

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    Nick spent: 100% - 25% = 75% (money) left after he bought the book.

    75% of Nick's money equaled: 17 + 28 = 45 (dollars).

    So he spent: \(\dfrac{45}{75\%}\cdot25\%=15\left(dollars\right)\)on thế book.

    ANSWER: 15 dollars

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    In Anna's second line: father cross, x or y returns
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    \(\dfrac{3}{4}+\dfrac{5}{36}+\dfrac{7}{144}+...+\dfrac{2n+1}{n^2\left(n+1\right)^2}\)

    \(=1-\dfrac{1}{2^2}+\dfrac{1}{2^2}-\dfrac{1}{3^2}+\dfrac{1}{3^2}-\dfrac{1}{4^2}+...+\dfrac{1}{\left(n-1\right)^2}+\dfrac{1}{n^2}\)

    \(=1-\dfrac{1}{n^2}< 1\)

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    We have: \(1^3=1;2^3=8;...;6^3=216\)

    => # \(=7^3=343\)

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    My answer is C: 6
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    Dao Trọng Luan: I'm wrong.
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    So M < 1
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    M = \(1-\dfrac{1}{2^2}+\dfrac{1}{2^2}-\dfrac{1}{3^2}+...+\dfrac{1}{2015^2}-\dfrac{1}{2016^2}\)

    M = \(1-\dfrac{1}{2016^2}=1-\dfrac{1}{4064256}=\dfrac{4064255}{4064256}\)

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    This is not a page for users to curse each other. This is a math-english page. So anyone who wants to curse I'll tell the administrator about this. And about FA Liên Quân Garena and Help you solve math and all other negative members, whọ break any more rules, your account will disappear from this page THANK YOU VERY MUCH.
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