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miv72 [106K]
3 years ago
6

15. The sum of two numbers is 8. The difference of the two numbers is 2.

Mathematics
1 answer:
matrenka [14]3 years ago
5 0

Answer:

3 AND 5

Step-by-step explanation:

LET THE TWO NUMBERS BE X AND Y

THEN

X + Y = 8 …….1

X – Y = 2 …… 2

WE SOLVE SIMULTANOUSLY  

SUBTRACTNG EQATION 2 FROM 1

X – X  + Y – (-Y) = 8 – 2

Y + Y = 6

2Y = 6

DIVIDING EACH TERM BY 2

2Y/2 = 6/2

Y = 3

THEN PUTTING Y = 3 IN EQUATION 1

X + 3 = 8

X = 8 – 3

X = 5

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Answer: 0.4065

Step-by-step explanation:

Given : In a sociology class there are 14 sociology majors and 11 non-sociology majors.

Total students = 14+11=25

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Then, the number of ways to select 3 students from 25 students :-

^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300

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^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

\dfrac{935}{2300}=0.40652173913\approx0.4065

8 0
3 years ago
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NeX [460]

7 would be the number cause;

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3 years ago
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