Item 18
the minimum sustained wind speed of a category 1 hurricane is 74 miles per hour. the maximum sustained wind speed is 95 miles per hour. write an absolute value equation that represents the minimum and maximum speeds. let v
v
represent the wind speed.

The first thing we have to do is to calculate the midpoint of the min and max speeds. We are given that the min and max is 74 and 95 respectively. The midpoint is then calculated as (max+min) / 2. Therefore:

midpoint = (74 + 95) / 2 = 84.5

Next, we calculate the distance from the midpoint to the endpoint by doing subtraction. Therefore:

min endpoint: 84.5 – 74 = 10.5

max endpoint: 95 – 84.5 = 10.5

Now we know that v minus the midpoint will equal the distance such that:

| v - midpoint | = distance.

To our problem,

| v – 84.5 | = 10.5

54.864 meters

step-by-step explanation:

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