Part A:
y=mx+b
621=83(7)+b
Part B:
621=83(7)+b
621=581+b
621-581=b
b=40
Insurance cost is 40$
Answer:
(a) true
(b) true
(c) false; {y = x, t < 1; y = 2x, t ≥ 1}
(d) false; y = 200x for .005 < |x| < 1
Step-by-step explanation:
(a) "s(t) is periodic with period T" means s(t) = s(t+nT) for any integer n. Since values of n may be of the form n = 2m for any integer m, then this also means ...
s(t) = s(t +2mt) = s(t +m(2T)) . . . for any integer m
This equation matches the form of a function periodic with period 2T.
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(b) A system being linear means the output for the sum of two inputs is the sum of the outputs from the separate inputs:
s(a) +s(b) = s(a+b) . . . . definition of linear function
Then if a=b, you have
2s(a) = s(2a)
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(c) The output from a time-shifted input will only be the time-shifted output of the unshifted input if the system is time-invariant. The problem conditions here don't require that. A system can be "linear continuous time" and still be time-varying.
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(d) A restriction on an input magnitude does not mean the same restriction applies to the output magnitude. The system may have gain, for example.
The <em>correct answer</em> is:
A single outlier causes the value of the median to move slightly toward the outlier.
Explanation:
Overall, outliers have very little effect on the median. However, they do affect it some.
If the outlier is a very large number, the median will slightly increase as compared to the data set without the outlier.
If the outlier is very small, the median will slightly decrease compared to the data set without the outlier.
In both instances, the median is moved slightly towards the outlier.
Answer:

Step-by-step explanation:
The cotangent function can be rewritten by trigonometric relations, that is:
(1)
By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:
(2)
(3)
By (2) and (3) in (1), we have following expression:

If we know that
and
, then the result of the trigonometric expression is:


132=2*66=2*2*33=2*2*3*11=2²*3*11