When many small businesses were surveyed, 81.1% said they employed women in some capacity. Of the businesses that employed women, 15.1% employed no female supervisors, 56.2% employed only one female supervisor and the remainder employed more than one female supervisor. What proportion of businesses surveyed employed no female supervisors? (as a decimal to 3 decimal places)
Question
When many small businesses were surveyed, 81.1% said they employed women in some capacity. Of the businesses that employed women, 15.1% employed no female supervisors, 56.2% employed only one female supervisor and the remainder employed more than one female supervisor. What proportion of businesses surveyed employed no female supervisors? (as a decimal to 3 decimal places)
Solution
Step 1: Identify the total percentage of businesses that employed women. This is given as 81.1% or 0.811 in decimal form.
Step 2: Identify the percentage of businesses that employed women but had no female supervisors. This is given as 15.1% or 0.151 in decimal form.
Step 3: Multiply the total percentage of businesses that employed women (0.811) by the percentage of those businesses that had no female supervisors (0.151). This will give us the proportion of businesses that employed women but had no female supervisors.
0.811 * 0.151 = 0.122461
Step 4: Round the result to three decimal places. The proportion of businesses that employed no female supervisors is 0.122.
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