Saw a board 8 ft 4 in. long into nine equal pieces. If the loss per cut is 1/8 in., how long will each piece be?

Chesley
2021-01-06
Answered

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A survey was completed by individuals who were currently on the Zone diet exercise program (E), taking diet pills (P), or under medical supervision (M).

$\begin{array}{|cccccc|}\hline \text{Supplements}& & E& P& M& \text{Totals}\\ \text{Diet}& Z& 127& 88& 68& 283\\ & S& 107& 68& 56& 231\\ & W& 131& 45& 42& 218\\ \text{Totals}& & 365& 201& 166& 732\\ \hline\end{array}$

Find the number of surveyed people in each of the following sets.

a) $S\cap E$

b) $Z\cup M$

c) ${S}^{\prime}\cap (E\cup P)$

d) $(Z\cup S)\cap ({M}^{\prime})$

e) ${W}^{\prime}\cap (P\cup M{)}^{\prime}$

f) ${W}^{\prime}\cup P$

$\begin{array}{|cccccc|}\hline \text{Supplements}& & E& P& M& \text{Totals}\\ \text{Diet}& Z& 127& 88& 68& 283\\ & S& 107& 68& 56& 231\\ & W& 131& 45& 42& 218\\ \text{Totals}& & 365& 201& 166& 732\\ \hline\end{array}$

Find the number of surveyed people in each of the following sets.

a) $S\cap E$

b) $Z\cup M$

c) ${S}^{\prime}\cap (E\cup P)$

d) $(Z\cup S)\cap ({M}^{\prime})$

e) ${W}^{\prime}\cap (P\cup M{)}^{\prime}$

f) ${W}^{\prime}\cup P$

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