A certain builder isselling five homes for the following prices: $157,000, $168,000, $195,000, $235,000, and $256,000. If the price of the most expensive home isincreased $10,000, which of the following statements best describes the changein the mean and the median of the home prices?

Froma bag containing 12 identical blue balls, y identical yellow balls, and noother balls, one ball will be removed at random. If the probability is less than 2/5 that the removed ball willbe blue, what is the least number of yellow balls that must be in the bag?

At a dinner party, 5 peopleare to be seated around a circular table. Two seating arrangements are considered different only when thepositions of the people are different relative to each other. What is the total number of different possibleseating arrangements for the group?

Susan drove at an averagespeed of 30 miles per hour for the first 30 miles of a trip and then at anaverage speed of 60 miles per hour for the remaining 30 miles of the trip. If she made no stops during the trip, whatwas Susan's average speed, in miles per hour, for the entire trip?

A certain law firm consistsof 4 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at leastone member of the group is a senior partner? (Two groups are considered different if at least one group member isdifferent.)

40, 45, 45, 50, 50, 60, 70, 75, 95, 100

The scores on a certain history test are shownabove. How many scores were greater thanthe median score but less than the mean score?

A certain company has 18equally qualified applicants for 4 open positions. How many different groups of 4 applicants canbe chosen by the company to fill the positions if the order of selection doesnot matter?

Athin piece of wire 40 meters long is cut into two pieces. One piece is used to form a circle withradius r, and the other is used to form a square. No wire is left over. Which of the following represents the totalarea, in square meters, of the circular and the square regions in terms of r ?

On July 1 of lastyear, the total number of employees at Company E was decreased by 10percent. Without any change in thesalaries of the remaining employees, the average (arithmetic mean) employeesalary was 10 percent more after the decrease in number of employees thanbefore the decrease. The total of thecombined salaries of all of the employees at Company E after July 1 last yearwas what percent of that before July 1 last year?

The perimeters of square region S and rectangular region R are equal. If the sides of R are in the ratio 2 : 3, what is the ratio of the area of region R to the area of region S ?