For each statement below state what needs to be proven in order to show that the existential statement is false. Your response should be a universal statement. a. There exists a negative integer that is equal to its square.
b. There exists an integer that is smaller than every other integer.
c. There are two distinct positive integers x and y such that 1x+1y is an integer.
d. There are positive integers m and n such that

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. which graph represents the set of heights that satisfy this requirement?

Afair survey question is one that does not encourage biased responses. which survey question is fair? a.) do you agree that only unethical people take credit for other people’s work? b.) have you ever taken credit for somebody else’s work? c.) have you ever engaged in unethical behavior, such as taking credit for somebody else’s work? d.) don’t you think it is unethical to take credit for somebody else’s work?

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.