Two faulty tennis ball machines start to shoot balls from opposite sides of a 25 meter by 10 meter tennis court. The green ball machine shoots green balls that stop on the court 5 meters to 20 meters from the green machine's side. The yellow ball machine shoots yellow balls that stop on the court 2 meters to 16 meters from the yellow machine's side. Find the area of the tennis court that has balls of either color on it.

180 m²

Step-by-step explanation:

The tennis court has a length of 25 meters and a width of 10 meters. The faulty tennis ball machines are placed at both ends of the court length.

The green ball machine has a range of 5 meters to 20 meters from the green machine's side while the yellow ball machine has a range of  2 meters to 16 meters from the yellow machine's.

Therefore the area of the tennis court with balls on it, has a range of 2 meters from the yellow machine and 5 meters from the green ball machine. Hence:

length of court with balls = 25 m - (5 m + 2 m) = 25 m - 7 m = 18 m

width of court = 10 m

Therefore,  the area of the tennis court that has balls of either color on it = length of court with balls * width of court with balls = 18 m * 10 m = 180 m²

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