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sergiy2304 [10]
3 years ago
11

Consider the set S={1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,23,24, .............. ,123456789}, which consists of all positive

integers whose digits strictly increase from left to right. This set is finite. What is the median of the set?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
6 0

Answer:

  12345

Step-by-step explanation:

The number of numbers with n digits is the same as the number of combinations of n things taken from 9. That means as many numbers have 5 or more digits as have 4 or fewer, with the exception that the number 123456789 is not matched by the number 0 (or a number with no digits). There are 256 numbers with 5 or more digits, but only 255 with 4 or fewer.

So, the median number is the first number with 5 digits:

  12345

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evablogger [386]
C) -4 is the answer :)
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3 years ago
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A triangular sail has a base length of 2.5 centimeters. The area of the sail is 3.75 square meters. How tall is the sail?
seraphim [82]

The area of any triangle = (1/2) x (length of the base) x (height)

2.5 centimeters  =  0.025 meter

The area of the sail is           (3.75) = (0.5) x (0.025) x (height)

Multiply each side by  2 :      (7.5) =            (0.025) x (height)

Divide each side by  0.025 :  (7.5)/(0.025) = height  =<em>  300 meters</em>

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6 0
3 years ago
How do i get the factor of 3p2-2p-5
tensa zangetsu [6.8K]
3p² - 2p - 5 = 0

3p² + 3p - 5p - 5 = 0

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(3p - 5)(p + 1) = 0

p = 5/3 or -1

Hope this helps!
5 0
3 years ago
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What is the coefficient of the x9y-term in the binomial expansion of (2y 4x3)4?
Sonbull [250]
The binomial expansion: T_{k+1}=  \frac{n!}{(n-k+1 )!}a^{n-k} b^{k}
a = 2y,  b = 4 x^3, n = 4
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T_{4}= \frac{24}{6}(2y) ^{3-1} (4x^{3} )^{3}
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4 0
3 years ago
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Bess [88]

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from equation ( 1 )

x - y = - 11

x   = -11 + y  ...........( 3)      

putting x in equation  ( 2 )

y + 7 = - 2 x  

y  + 7 = -2 ( -11 + y )             y + 7 = 22 - 2 y                       y + 2 y =22 - 7            

3 y = 15                  y = 15 / 3

putting value of y in equation 3

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x  = -17 / 5                      

check      

x = -11 + y

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-17 /5   = -17 / 5

4 0
3 years ago
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