To predict future enrollment in a school district, fifty households within the district were sampled and asked to disclose the number of children under the age of five living in the household. The results of the survey are presented in the table. Complete parts (a) through (c) below.
\begin{tabular}{cc}
\hline \multicolumn{2}{|l}{\begin{tabular}{l} Number of Children Number of
under 5 \end{tabular}} \\
\hline 0 & \begin{tabular}{c} Households \\ \hline 1 \end{tabular} \\
\hline 2 & 14 \\
\hline 3 & 16 \\
\hline 4 & 16 \\
\hline
\end{tabular}
(a) Construct a relative frequency distribution of the data.
\begin{tabular}{c|c}
\hline \begin{tabular}{l} Number of
Children under 5 \end{tabular} & \begin{tabular}{l} Relative
Frequency \end{tabular} \\
\hline 0 & 0.08 \\
\hline 1 & 0.2 \\
\hline 2 & 0.32 \\
\hline 3 & 0.32 \\
\hline 4 & 0.08 \\
\hline
\end{tabular}
(Type integers or decimals. Do not round.)
Answer (3)
3/4.8=4/x 3x=19.2 x=6.4
Two quadrilaterals are similar if corresponding sides taken in the same sequence (even if clockwise for one quadriateral and counterclockwise for the other) are proportional and corresponding angles taken in the same sequence are equal in measure. If the quadrilaterals JKLM and PQRS are similar, then PQ J K = QR K L = RS L M = PS J M .
Hence QR 4 = 4.8 3 = 8 5 = 4.8 3 and QR = 5 4 ⋅ 8 = 6.4 .
To find the length of side QR in similar quadrilaterals J K L M and PQRS , you use the properties of similar figures which states that ratios of corresponding sides are equal. Setting up the ratio with known lengths, we find that QR = 6 .
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