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24 Dec 2024, 06:57
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Quote:
AI employees: 32 * 0.75 = 24. Master: No Master = 5x: 3x
-> Total 8x = 24 -> x = 3
Master = 15, No Master = 9
Cybersecurity: 32-24 = 8. Master: No Master = 3x: 5x
-> total 8x - 8 -> x = 1
Master = 3, No Master = 5
Ratio of total Master : No Master across 2 departments = p : q = (15+3) : (9 + 5) = 18 : 14 = 9 : 7
Tick 9 and 7 for p and q
24 Dec 2024, 07:49
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Total employees = 32
Employees in AI = 75% * 32 = 24
Employees in cybersecurity = 25% * 32 = 8
In the AI team,
Ratio of employees with a master’s degree to those without = 5:3
Let the number of employees with a master’s degree in AI be 5x and those without be 3x
5x + 3x = 24
x = 3
Employees with a master’s degree = 5 * 3 = 15
Employees without a master’s degree = 3 * 3 = 9
In the cybersecurity team,
Ratio of employees with a master’s degree to those without = 3:5
Let the number of employees with a master’s degree be 3x and those without be 5x
5x + 3x = 8
x = 1
Employees with a master’s degree = 5 * 1 = 5
Employees without a master’s degree = 3 * 1 = 3
Combining,
Total employees with a master’s degree = 15 + 3 =18
Total employees without a master’s degree = 9 + 5 = 14
p:q =18:14 = 9:7
p = 9, q = 7
Employees in AI = 75% * 32 = 24
Employees in cybersecurity = 25% * 32 = 8
In the AI team,
Ratio of employees with a master’s degree to those without = 5:3
Let the number of employees with a master’s degree in AI be 5x and those without be 3x
5x + 3x = 24
x = 3
Employees with a master’s degree = 5 * 3 = 15
Employees without a master’s degree = 3 * 3 = 9
In the cybersecurity team,
Ratio of employees with a master’s degree to those without = 3:5
Let the number of employees with a master’s degree be 3x and those without be 5x
5x + 3x = 8
x = 1
Employees with a master’s degree = 5 * 1 = 5
Employees without a master’s degree = 3 * 1 = 3
Combining,
Total employees with a master’s degree = 15 + 3 =18
Total employees without a master’s degree = 9 + 5 = 14
p:q =18:14 = 9:7
p = 9, q = 7
24 Dec 2024, 07:59
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Let
AI = 0.75*32 = 24
CS = 0.25*32 = 8
In CS,
employees with master's = (3/8)*8 = 3
employees without master's = (5/8)*8 = 5
In AI,
employees with master's = (5/8)*24 = 15
employees without master's = (3/8)*24 =.9
Employees with masters = 3+15 = 18
Employees without masters = 5+9 = 14
Ratio = 18/14 = 9/7 = p/q
AI = 0.75*32 = 24
CS = 0.25*32 = 8
In CS,
employees with master's = (3/8)*8 = 3
employees without master's = (5/8)*8 = 5
In AI,
employees with master's = (5/8)*24 = 15
employees without master's = (3/8)*24 =.9
Employees with masters = 3+15 = 18
Employees without masters = 5+9 = 14
Ratio = 18/14 = 9/7 = p/q
Bunuel
