A small town is electing a new town council member. They decide to poll three random samples of registered voters to get an idea of which of the three candidates is most likely to be elected. Voters are asked to indicate the candidate they would vote for, if the election were tomorrow. Voters are also given the option of selecting "Undecided". The results of the poll are recorded in the table below. Sample #1 Sample #2 Sample #3 Candidate #1 11 20 11 Candidate #2 27 23 28 Candidate #3 11 3 9 Undecided 1 4 2 The town has 8,400 registered voters and expects 75% voter participation. Based on the results of this poll, estimate the number of votes that Candidate #2 will receive (to the nearest ten). Include all calculations in your answer.

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation:

c) the median for town a 30" is greater than the median for town b 25"

step-by-step explanation:

town a, median = q2 = 30

town b, median - q2 = 25

so the median for town a 30" is greater than the median for town b 25"

parallel lines have the same slope. so if the green line has a slope of -4, the slope of the red line is also -4.