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Artist 52 [7]
3 years ago
15

The numbers 1 through 9 are written in separate slips of paper, and the slips are placed into a box. Then, 4 of these slips are

drawn at random.
What is the probability that the drawn slips are "1", "2", "3", and "4", in that order?
Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0
Let's think of the problem as follows.

Write all the 4-digit numbers that can be formed using the digits from 1 to 9, without repetition, in pieces of paper, and put them in a bag. What is the probability of picking the 4-digit number 1234, among these numbers.

The connection of the 2 problems is as follows:

The 4-digit number, for example 5489, represents drawing first 5, then 4, then 8, then 9 , in the original question.

we did not allow repetition, because for example the number 8918 would represent drawing 8, then 9, then 1 then 8 (again!!), which is not possible, so we lose the connection between the problems.


So there are in total 9*8*7*6= 3024  4-digit numbers, with non-repeating digits.

One of these numbers is 1234 (representing drawing 1, then 2, then 3, then 4)

among these 3024 numbers, the probability of picking 1234 is 
\frac{1}{3024}= 0.00033


We could have solved this problem also as :

P(drawing 1, 2, 3, 4 in order)= \frac{1}{9} * \frac{1}{8} * \frac{1}{7} * \frac{1}{6} = \frac{1}{3024}

Answer:\frac{1}{3024}= 0.00033
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Given f(x)=3x^2+5 and g(x)=x−2 . What is (fg)(x) ? 3x^2−x+7 3x^3−6x2+5x−10 −3x^2+x−7 3x^3−10
wolverine [178]

For this case we have that by definition:

(fg) (x) = f (x) * g (x)

So:

(fg) (x) = (3x ^ 2 + 5) (x-2)

We apply distributive property that states that:

(a + b) (c + d) = ac + ad + bc + bd

In addition, we take into account that:

+ * - = -

(fg) (x) = 3x ^ 3-6x ^ 2 + 5x-10

Answer:

3x ^ 3-6x ^ 2 + 5x-10

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1,034 / 95 as a mixed number
tia_tia [17]

Answer:

10 and 84/95

Step-by-step explanation:

First, you divide 1034 by 95 to see how many times it fits in there. Then, after it comes out to a ten with a lot of decimal points, you multiply 95 times 10, and then subtract the product from 1034 to see what the leftover fraction is. 95×10=950. 1034-950=84. Then, you look at 84/95 and see if it can be simplified-which it can't, so your final answer is 10  84/95.

(hope this helps, sry if its badly written)

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Answer:

The student incorrectly used the Distributive property!

Step-by-step explanation:

The Distributive property says a(b+c)=ab+ac

In this problem the answer SHOULD be 3n-15, however the <u>student forgot to distribute the 3 to the -5</u>!

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