Chapter 6.6, Problem 24PPS

(a)

To determine

To find: the number of people voted for proposition1.

Answer to Problem 24PPS

The matrix to recognize the given data is $\left[\begin{array}{cc}40948& 277.3\\ 53926& 296.4\\ 47213& 401.9\\ 48710& 165.2\end{array}\right]$ .

Explanation of Solution

Given:

  $\left[\begin{array}{cc}562& 1025\\ 789& 921\\ 1255& 301\end{array}\right]$

Calculation:

a. First row shows the no. of people voted for and against proposition 1.

  $\left[\begin{array}{cc}562& 1025\\ 789& 921\\ 1255& 301\end{array}\right]$

In the above matrix, circled element is the number of people voted for proposition 1. Thus, 562 people voted for proposition 1.

Conclusion:

Therefore, 562 people voted for proposition 1.

(b)

To determine

To find: the number of people voted against proposition 2 than for proposition 2.

Answer to Problem 24PPS

No. of people voted against proposition 2 than for proposition 2 $=921-789=132$ .

Explanation of Solution

Calculation:

Second row shows the no. of people voted for and against proposition 2.

  $\left[\begin{array}{cc}562& 1025\\ 789& 921\\ 1255& 301\end{array}\right]$

In the above matrix, circled element is the number of people voted for proposition 2 and squared element is the number of people voted against proposition 2.

Thus, no. of people voted against proposition 2 than for proposition 2 $=921-789=132$ .

Conclusion:

Therefore, no. of people voted against proposition 2 than for proposition 2 $=921-789=132$ .

(c)

To determine

To find: the number of votes were cast against the propositions.

Answer to Problem 24PPS

No. of people voted against propositions $=1025+921+301=2247$ .

Explanation of Solution

Calculation:

Second column shows the no. of people voted against propositions.

  $\left[\begin{array}{cc}562& 1025\\ 789& 921\\ 1255& 301\end{array}\right]$

In the above matrix, squared elements are the number of people voted against propositions.

Thus, no. of people voted against propositions $=1025+921+301=2247$ .

Conclusion:

Therefore, no. of people voted against propositions $=1025+921+301=2247$ .