Engineers built an arch bridge across a river. The arch bridge makes a parabola shape that has the equation

y=-0.1(x – 5)2 + 12, where x and y are measured in

meters. If the bridge makes contact with both banks at a height

of 4 meters, how long is the distance between the two banks

of the river where the bridge is? Round your answer to the

nearest whole number.

meters

In 2000, for a certain region, 27.1% of incoming college freshman characterized their political views as liberal, 23.1% as moderate, and 49.8% as conservative. for this year, a random sample of 400 incoming college freshman yielded the frequency distribution for political views shown below. a. determine the mode of the data. b. decide whether it would be appropriate to use either the mean or the median as a measure of center. explain your answer. political view frequency liberal 118 moderate 98 conservative 184 a. choose the correct answer below. select all that apply. a. the mode is moderate. b. the mode is liberal. c. the mode is conservative. d. there is no mode.