The following input-output pairs have been observed during the operation of a linear system: x1(n) = f−1; 2; 1g ! t y1(n) = f1; 2; −1; 0; 1g x2(n) = f1; −1; −1g ! t y2(n) = f−1; 1; 0; 2g x3(n) = f0; 1; 1g ! t y3(n) = f1; 2; 1g a) suppose the input signal is x(n) = (n), what is the resulting output signal? b) determine whether the system is time-invariant. justify your answer.

answer: i believe it’s 245.04

step-by-step explanation:

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;