Records of a company show that 20% of the employees have only a high school diploma; 70% have bachelor degrees; and 10% have graduate degrees. of those with only a high school diploma, 10% hold management positions; whereas, of those having bachelor degrees, 60% hold management positions. finally, 85% of the employees who have graduate degrees hold management positions. what percentage of employees hold management positions?

62.5% of employees hold management positions

Step-by-step explanation:

We have these following percentages:

20% of the employees have only a high school diploma;

70% have bachelor degrees;

10% have graduate degrees;

Of those with only a high school diploma, 10% hold management positions;

Of those having bachelor degrees, 60% hold management positions;

85% of the employees who have graduate degrees hold management positions

What percentage of employees hold management positions?

That is

.

In which is the percentage of those who only have a high school diploma and hold a management position. So

are those who have a bachelor degree and hold a management position. So .

are those who have a graduate degree and hold a management position. So

Finally

.

62.5% of employees hold management positions

1. 3.4/4

2. 0.8/7

3. 0.5 x 3

4. 0.9 x 6

5. 10.8

6. 2.35

7. 0.567

8. 9.35

9. 0.02

10. 0.06

11. 0.16

12. 0.42

13. 0.63

14. 5.6

15. 8.1

16. 9.9

17. 0.28

18. 0.48

19. 0.27

20. 0.49

21. 0.45

22. 0.72

23. 0.9

24. 0.88

25. 0.75

26. 0.16

27. 0.328

28. 0.495

29. 0.72

30. 1.068