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makkiz [27]
2 years ago
15

Three integers have a mean of 7, a median of 6 and a range of 13. Find the three integers.

Mathematics
1 answer:
aalyn [17]2 years ago
6 0

Answer:

1, 6 and 14.

Step-by-step explanation:

6 is  the median (the middle number of the 3 numbers)

Then we need to know the first and last number

To get the mean, you  add all of the numbers up and divide that by how many numbers there are.

Since the mean is 7 and there are 3 numbers,  the sum of all three numbers is  21 because    (21/3=7)    

The  range of all the numbers is 13  The range is the difference between the largest and smallest number

The largest number subtracted by the smallest number should  be 13

 14-1=13      

1+6 +14 =21.

The three integers are, 1, 6 and 14.

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Answer:

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Step-by-step explanation:

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nCr = \frac{n!}{(n-r)!r!}

Now If A company has 7 male and 9 female employees, and needs to nominate 2 men and 2 women for the company bowling team, then this can be done in the following way;

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7C2 = \frac{7!}{5!2!} \\= \frac{7*6*5!}{5!*2} \\= 7*3\\= 21ways\\\\similarly;\\\\9C2 = \frac{9!}{7!2!}\\9C2= \frac{9*8*7!}{7!*2} \\9C2 = 9*4\\9C2 = 36

7C2 * 9C2 = 21*36

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