Answer:
B. Both functions are increasing, but function f is increasing faster.
Answer:
r<4
Step-by-step explanation:
-3(r-4)>0 step 1: distribute the -3
-3r+12>0 explain: -3 times r =-3r, -3 times -4 = 12
next, isolate the -3r by putting 12 on the other side
-3r+12>0 subtract 12 from both sides
-3r>-12 now, divide both sides by -3 (you have to flip the > because you are dividing by a negative) -12 divided by -3 is 4
so you should end up with r<4
P(at least 5 rolls until 1) = P(4 rolls are not 1) = 5/6 x 5/6 x 5/6 x 5/6 = 0.4823 (4sf)
Fewer than 7 rolls to get second 1 after first takes 3 rolls means second occurs on 4th, 5th or 6th roll
The probability of each of these is 1/6, 5/6 x 1/6 and 5/6 x 5/6 x 1/6 respectively.
P(second 1 on 4th, 5th or 6th roll) = 1/6 + 5/36 + 25/216 = 91/216 = 0.4213 (4sf)
