Laura will go for a run during her lunch break if the temperature is between 6 0 ∘ F 60 ∘ F60, degrees, start text, F, end text and 8 0 ∘ F 80 ∘ F80, degrees, start text, F, end text. The average speed, S SS, in miles per hour, at which Laura runs is dependent on the temperature, t tt, in degrees Fahrenheit ( ∘ F ) ( ∘ F)left parenthesis, degrees, start text, F, end text, right parenthesis, at the start of her run and can be modeled by the function S ( t ) = 6 + 0.1 ( 80 − t ) S(t)=6+0.1(80−t)S, left parenthesis, t, right parenthesis, equals, 6, plus, 0, point, 1, left parenthesis, 80, minus, t, right parenthesis. The distance, D DD, in miles, that she can run in 30 3030 minutes given that her average speed is x xx miles per hour can be modeled by the function D ( x ) = 0.5 x D(x)=0.5xD, left parenthesis, x, right parenthesis, equals, 0, point, 5, x.

step-by-step explanation:

i found the life tables for the year 2012. 

life table of males at age 30. probability of dying between ages x and x+1

total population:  

29–30 . . . . . . . . . . . . 0.001030

30–31 . . . . . . . . . . . . 0.001061

males:  

29–30 . . . . . . . . . . . . 0.001420

30–31 . . . . . . . . . . . . 0.001448

white population

29–30 . . . . . . . . . . . . 0.001005

30–31 . . . . . . . . . . . . 0.001037

white males

29–30 . . . . . . . . . . . . 0.001372

30–31 . . . . . . . . . . . . 0.001399

non hispanic white population

29–30 . . . . . . . . . . . . 0.001083

30–31 . . . . . . . . . . . . 0.001116

non hispanic white males

29–30 . . . . . . . . . . . . 0.001477

30–31 . . . . . . . . . . . . 0.001503

jacob, non hispanic white male. 30 years old.

probability that jacob lives to be 30 years old. 

since the given probabilities are probabilities of dying, i think we simply subtract it from 1 to get the probability of living. we will use the probability of non hispanic white male.

                                          probability of living to be 30 y.o.

29 - 30 : 1 - 0.001477 = 0.998523

30 - 31 : 1 - 0.001503 = 0.998497