Consider the feedforward neural network with the following training set: s (1) = h 1 1 1 i , with t (1) = h 1 1 i s (2) = h 1 1 −1 i , with t (2) = h 1 1 i s (3) = h −1 1 1 i , with t (3) = h −1 1 i s (4) = h −1 −1 1 i , with t (4) = h −1 1 i s (5) = h 1 −1 −1 i , with t (5) = h 1 −1 i s (6) = h 1 −1 1 i , with t (6) = h −1 −1 i thus s (1) are s (2) and in one class, s (3) and s (4) are in another class, s (5) is in a third class, and s (6) is in a fourth class. use the perceptron learning rule to try to find a set of weights and bias to correctly classify the training set. here we assume zero initial weights and bias, a learn rate α = 1, and a small but positive value of θ. 1. how many steps does it take for convergence? what is the final set of weight?

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups

Sum of the interior angles of a pentagon

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.