Consider the following systems. find the transfer function. are the systems causal? stable? why? if the system is not causal, find h[n] for all n < 0.

(a) y[n] − 0.75y[n − 1] + 0.125y[n − 2] = x[n].
(b) y[n] − 0.75y[n − 1] + 0.125y[n − 2] = x[n] − 2x[n − 1] + 3x[n − 2].
(c) y[n] − 0.75y[n − 1] + 0.125y[n − 2] = x[n] − 2x[n − 1] + 3x[n − 2] + x[n − 4].

Efficient homemakers ltd. makes canvas wallets and leather wallets as part of a money-making project. for the canvas wallets, they need two yards of canvas and two yards of leather. for the leather wallets, they need four yards of leather and three yards of canvas. their production unit has purchased 44 yards of leather and 40 yards of canvas. let x be the number of leather wallets and y be the number of canvas wallets. draw the graph showing the feasible region to represent the number of the leather and canvas wallets that can be produced.

1. why is a frequency distribution useful? it allows researchers to see the "shape" of the data. it tells researchers how often the mean occurs in a set of data. it can visually identify the mean. it ignores outliers. 2. the is defined by its mean and standard deviation alone. normal distribution frequency distribution median distribution marginal distribution 3. approximately % of the data in a given sample falls within three standard deviations of the mean if it is normally distributed. 95 68 34 99 4. a data set is said to be if the mean of the data is greater than the median of the data. normally distributed frequency distributed right-skewed left-skewed

What is the slope of the line that has an equation of y equals x -3