Step-by-step answer:
The base of the exponential function is set at 1.29 for a period of 7 days, which is expressed as
f(x) = 86*(1.29)^x
To determine the daily rate, divide the variable x by 7 (keeping x as the number of weeks), resulting in
f(x) = 86*1.29^(x/7)
Applying the exponent rule, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we can simplify by setting b=1.29, a=7 to arrive at
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since evaluating 1.29^(1/7) yields approximately 1.037
Rounding 1.037 to 1.04 gives a (VERY) rough estimate function
f(x) = 86 * (1.04^x)
1.04 is only an approximation because 1.04^7 is expected to return 1.29, it actually results in 1.316; meanwhile, 1.037^7 returns 1.2896, which is much closer to 1.29.
Response: a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
Detailed explanation:
In Problem 8-4, the computer time-sharing system experiences teleport inquiries at an average rate of 0.1 per millisecond. We are tasked with determining the probabilities of the inquiries over a specific period of 50 milliseconds:
Given that
Applying the Poisson process, we find that
(a) at most 12
probability= 
(b) exactly 13
probability=
(c) more than 12
probability=
(d) exactly 20
probability=
(e) within the range of 10 to 15, inclusive
probability=
Thus, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318
Answer:
The wheel's diameter in millimeters is 660.4
Step-by-step explanation:
The diameter of the wheel is 26 inches
as given
1 inch equals 25.4 millimeters
Multiplying both sides by 26
26 inches = 26*25.4 millimeters
=>26 inches = 660.4 mm.
Thus, the diameter of the wheel in millimeters is 660.4
