Consider a function f : A → BSCA and the inclusion map i : S A defined by i(s) = s for all s € S. Show that the restriction map fls:S → B satisfies fls = foi Moreover, show that if f is one-to-one, then fs is one-to- one.

If you double the input of a function and it results in half the output, and if you triple the input and it results in a third of the output, what can be guessed about the function? check all that apply.

Match the vocabulary to the proper definition. in probability, two events in which 1. conditional probability the outcome of one event is independent of the outcome of a second event. 2. dependent events in probability, two events in which the outcome of one event is dependent on the outcome of a second event. the probability of an event in which the outcome of the event is conditional on the outcome of one or more different events. 3. independent events

For a research project in a political science course, a student has collected information about the quality of life and the degree of political democracy in 50 nations. specifically, she used infant mortality rates to measure quality of life and the percentage of all adults who are permitted to vote in national elections as a measure of democratization. her hypothesis is that the quality of life is higher in more democratic nations. read this research description carefully. pay attention to the following: how many variables are in this research? what is the scale of the variable for infant mortality? p1c4. what is the dependent variable in this research problem? p1c4. is this research descriptive or inferential? does this research involves single variable analysis or two or more variable analysis?