In the video, i drop a ball off a three-story balcony. we know that objects in freefall follow the equation for height h, in meters, h = − 4.9 t 2 + c h = - 4.9 t 2 + c , where t is time in seconds, and c is the initial height. a student timed the drop at 1.48 seconds.

Step-by-step explanation:

The equation is

h(t) = -4.9t² + c

where h(t) is the height after its fall and c is the height from which it fell.  We know that when an object hits the ground, its height is 0.  Therefore, h(t) = 0 when the object is on the ground.  If we want to solve for the height from which the object fell, we have to sub the time in for t and solve for c when h(t) = 0:

0 = -4.9(1.48)² + c and

0 = -10.73296 + c so

c = 10.73296 meters

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