Fifteen percent of the employees in a company have managerial positions, and 25 percent of the employees in the company have mba degrees. also, 60 percent of the managers have mba degrees. using the probability formulas. find the proportion of employees who are managers and have mba degrees.

9% is  the proportion of employees who are managers and have MBA degrees.

Step-by-step explanation:

We are given the following in the question:

Percentage of employees in a company have managerial positions = 15%

Percentage of employees in the company have MBA degrees = 25%

Percent of the managers have MBA degrees = 60%

We have to find the proportion of employees who are managers and have MBA degrees.

The conditional probability is give by:

9% is  the proportion of employees who are managers and have MBA degrees.

< coa = 150 ( given)

as ba and bc are tangents

so oc and oa is perpendicular to cb and ab respectively because in circle normal passes through centre

so in quadrilateral oabc

< coa + < oab + < ocb + < abc = 360

150 +90+90 + < abc = 360

330 + < abc = 360

< abc = 360 -330 = 30

so < abc = 30

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a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .