Answer:
I believe x = 34
Step-by-step explanation:
3 × 34 = 102
102 - 6 = 96
2 × 34 = 68
96 + 68 + 88 + 108 = 360
A is INCORRECT because here we have degrowth and growth
B is INCORRECT because the decay factor is 2% or 0.02 , not 0.2
C is CORRECT, the function is which is used to calculated the area of rainforest at time t is given by 1156.25(1 -0.02 )^t
D is INCORRECT, if we plug in t=100 in the above equation , we get = 1156*(1-0.02)^100 = 153 square miles of forest. So it will not be wiped out
E is CORRECT, if we plug in t =35, we get = 1156*(1-0.02)^35 = 570 square miles. So more than half will be cut in 35 years
F is INCORRECT becuase domain goes beyond 100 years as shown by option D
So, correct options are C and E
A )
P ( x = 3 ) = 5/90 * 4/89 * 3/88 = 1 / 11,748 = 0.000085
b )
Probability of selecting zero defective cartridges:
P ( x = 0 ) = 85/90 * 84/89 * 83/88 = 592,620 / 704,880 = 0.840739
P ( at least 1 defective) = 1 - 0.840739 = 0.159261
