Question

the graph shows data from a survey of 300 random voters on whether they support proposition 3. complete parts (a) and (b)
a. make a conjecture about the likelihood of proposition 3 passing and explain your reasoning.
if there is a vote on proposition 3, then it will pass if of all voters are for it. in a survey of 300 people, half would be people. since the number of voters in the survey are for the proposition, it is likely to pass if brought to a general vote.
(type a whole number.)

Explanation:

Step1: Determine half of 300

To find half of 300, we calculate $\frac{300}{2}$.
$\frac{300}{2} = 150$

Step2: Analyze the bar graph (from the visual, "For" bar is above 150, say around 180, "Against" around 120, "Undecided" lower). Since the number of voters for the proposition (from the first bar) is more than 150 (half), we compare.

From the survey, the number of "For" voters is more than 150 (half of 300). So if a vote happens, since more than half (150) are for it, the proposition is likely to pass.

Answer:

If there is a vote on Proposition 3, then it will pass if $\boldsymbol{\frac{1}{2}}$ (or 50%) of all voters are for it. In a survey of 300 people, half would be $\boldsymbol{150}$ people. Since the number of voters in the survey for the proposition is more than 150, it is likely to pass if brought to a general vote.