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kap26 [50]
3 years ago
8

Se escriben, cada uno en un papel, los dígitos desde el 1 al 9. Si se eligen al azar 2 papeles ¿Cual es la probabilidad de obten

er como diferencia entre los dígitos el número 3?
Mathematics
1 answer:
kati45 [8]3 years ago
5 0
This can be solved by a contingency table to enumerate all possibilities.

  1 2 3 4 5 6 7 8 9
1 - 1 2 3 4 5 6 7 8
2 1 - 1 2 3 4 5 6 7
3 2 1 - 1 2 3 4 5 6
4 3 2 1 - 1 2 3 4 5
5 4 3 2 1 - 1 2 3 4
6 5 4 3 2 1 - 1 2 3
7 6 5 4 3 2 1 - 1 2
8 7 6 5 4 3 2 1 - 1
9 8 7 6 5 4 3 2 1 -

The diagonal entries are void because we cannot pick two tags with the same number.  We count 72 outcomes (excluding diagonal) and 12 of them are threes.  Therefore
Probability that the difference is 3 = 12/72 = 1/6
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4 0
3 years ago
A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t
pav-90 [236]

Answer:

a_{n}= 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and a_{n} can be determined by the formula

a_{n}= a1 + d (n-1)

Let " a_{n} " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row  has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

a_{n}= 3 + 2(n-1)

a_{n}= 3 + 2n -2

a_{n}= 1+2n

-> In order to find total number of band members 'S_{7}'

Let S_{n} represent total number in n rows

We'll use the formula, i.e  S_{n} = n/1 (a_{1} +  a_{n})

where, n is the number of terms, a_{1} is the first term and a_{n} is the last term

So,

n=7

a_{7} = 1 + 2(7)= 15

=>S_{7} = 7/2 (3 + 15)

S_{7} = 63

The total number of band members are 63

8 0
3 years ago
1.Mr. Bowen’s test is normally distributed with a mean of 75 and a standard deviation of 3 points.
lianna [129]

Answer:

2.28%

Step-by-step explanation:

Mr. bowens test is normally distributed with a mean (μ) of 75 and a standard deviation (σ) of 3 points.

The z score is used in probability to show how many standard deviation is a raw score below or above the mean. The formula for the z score (z) is given by:

z=\frac{x-\mu}{\sigma}

For a raw score (x) of 81 points, the z score can be calculated by:

z=\frac{x-\mu}{\sigma}=\frac{81-75}{3}=2

Therefore from the normal probability distribution table, the probability that a randomly selected score is greater than 81 can be given as:

P(x > 81) = P(z > 2) = 1 - P(z < 2) = 1 - 0.9772 = 0.0228 = 2.28%

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3 years ago
Is 22+ 32 = 42 a true statement? Explain.
ivolga24 [154]
No, this is not true, 22+32 =54 this is not a true statement
4 0
3 years ago
The following formula relates three quantities Force (F) mass (m) and acceleration (a).
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a. F = ma

F/a = ma/a

m = F/a

b. F = ma

-30 = -6a

a = 5

c. F = ma

30 = 10a

a = 3

4 0
3 years ago
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