Slope-intercept form for the line that passes through (-1,-7) and is perpendicular to the graph of 3x+12y=-6

Step-by-step explanation:

We first need to find the slope of the given line.  Putting that standard form of a line into slope intercept:

12y = -3x - 6 so

In this form we can easily determine that our slope is -1/4.  That means that the perpendicular slope, the opposite reciprocal, is +4.  We will write first the point slope of the new line using our given point, then solve it for y, putting it into slope-intercept form.  y - (-7) = 4(x - (-1)) and

y + 7 = 4x + 4 so

y = 4x + 4 - 7 so

y = 4x - 3

18.75 gallons

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