91Ó°ÊÓ

TheKnot.com surveyed 1165 women who were either engaged or married. Of all the subjects, 48% responded that bended knee was essential for making a marriage proposal.

a.

Mathematically, x% sign means$\frac{x}{100}$.

Then 48% of 1165 respondents are:

$$\begin{gathered} 48\%×1165=\frac{48}{100}×1165 \\ =559.2 \end{gathered}$$

Thus, the exact value is 559.2 respondents.

b.

The actual count in part (a) is 559.2, which is in decimal form.

However, the count of subjects who think that bended knee is essential should be a whole number.

Thus, the value of 559.2 cannot be the actual count of responses.

c.

The decimal values can be converted to whole numbers using therounding-offrules.

Thus, the actual count of responses in the survey should be 559.

d.

It is known that 93 subjects responded that bending the knee is corny and outdated.

The fraction of 1165 women who consider bending the knee as corny and outdated is equivalent to $\frac{93}{1165}$.

The formula for determining the percentage from the fraction is:

$$\begin{gathered} \frac{93}{1165}×100=7.9828\% \\ ≈8\% \end{gathered}$$

Thus, approximately 8% of the women responded that bending the knee is corny and outdated.