Agroup of republicans and democrats was surveyed and each member was asked whether they liked apple pies or éclairs. 80% of the republicans liked apple pie, 55% of the democrats liked eclairs, and 20% of the republicans who liked apple pie also liked eclairs. if the number of republicans who liked both desserts is equal to the number of democrats who liked éclairs, what is one possible value for the number of members of the group?
a. 81
b. 88
c. 160
d. 550
e. 710

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

What is the value of the product (3-2i)(3+2i)?