Which strategies can be used to solve this problem?

kathleen invited 28 people to her party. she plans to seat 8 people at the dining room table. she will put the rest at round tables with 4 people at each table.

what is the fewest number of round tables that kathleen needs so that each guest will have a seat?

choose all answers that are correct.

a.

draw a diagram.
eight people at 1 table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table, 4 people at round table. count the number of round tables.

b.

use logical reasoning.
start with 28 people, subtract 8 people who will sit at the dining room table, that leaves 20 people. keep subtracting 4 people until you get to 0. count how many times you subtracted 4 people.

c.

translate into an equation.
28 – 8 + 4 + 4 = t

d.

work backward.
there are 28 people coming to the party. there is one dining table, so subtract 1. now figure out how many round tables there are and subtract that number.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.