22. The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first
introduced into Australia.
Area Occupied by Cane Toads
550,0
y
Time
(yr)
1,250,
0
5
600,00
Area (thousands of km?)
1,200
1,100
1,000
900
800
700
600
500
400
300
200
100
10
15
20
25
30
35
Area
(km)
36,500
53,600
78,800
115,780
170,120
250,000
367,300
539,700
800,00
CLEAR ALL
х
0
5 10 15 20 25 30 35
Time (yr)
Based on the data, which measurement is closest to the number of square
kilometers of land that will be occupied by cane toads 40 years after this animal
was first introduced into Australia?

The weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to ac voltage. the values of the parameters depend on the voltage and temperature; suppose α = 2.5 and β = 190. (a) what is the probability that a specimen's lifetime is at most 250? less than 250? more than 300? (round your answers to four decimal places.) at most 250 less than 250 more than 300 (b) what is the probability that a specimen's lifetime is between 100 and 250? (round your answer to four decimal places.) (c) what value is such that exactly 50% of all specimens have lifetimes exceeding that value? (round your answer to three decimal places.) hr