The employees at a computer company are 65% females and 35% males. If 60% of the female employees have earned their master's degree and 50% of the male employees have earned their master's degree, the percent of employees at the computer company who have not earned their master's degree is

Question

Mathematics

Rocket

17 February, 10:25

The employees at a computer company are 65% females and 35% males. If 60% of the female employees have earned their master's degree and 50% of the male employees have earned their master's degree, the percent of employees at the computer company who have not earned their master's degree is

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Gideon Cooper · Answer 1

43.5%

Step-by-step explanation:

Given that;

The employees at a computer company are 65% females and 35% males.

If the total number of employees at the computer company is P

Number of female employees F = 65% of P = 0.65P

Number of male employees M = 35% of P = 0.35P

If 60% of the female employees have earned their master's degree and 50% of the male employees have earned their master's degree.

Number of female employees have earned their master's degree is;

F * = 60% of F = 0.60 * 0.65P = 0.39P

Number of male employees have earned their master's degree is;

M * = 50% of M = 0.50 * 0.35P = 0.175P

Total number of employees that have earned their master's degree is;

P * = F * + M * = 0.39P + 0.175P = 0.565P

the percent of employees at the computer company who have not earned their master's degree is;

P' = P - P * = P - 0.565P

P' = 0.435P

P' = 43.5% of the total number of employees.