The faces of a cube are numbered 1-6. if the cube is tossed once what is the probability that a prime number or a number divisible by 2 is obtained

Prime Numbers 2, 3, 5

Divisible by 2 - 2, 4, 6

One is NOT a prime number.

So, there are 5 out of 6 numbers that are even or are prime.

This leaves only 1 number that isn't.

So, the probability is 5/6 that the number rolled will be prime or even.

Step-by-step explanation:

Part A

f(d) = 11.79

11.79=11(1.01)^d

(1.01)^d = 11.79/11

(1.01)^d = 1.071818

d = log 1.071818 /log 1.01

d = 6.97

Part B

y- intercept is obtained when domain = 0

d = 0 ⇒ f(0) = 11(1.01)^0 = 11*1 = 11

f(d) = 11

Part C

Average rate of change

Δf/Δd=

(f(7) - f(2)) / (7 - 2) =

(11(1.01)^7 - 11(1.01)^2) / 5 =

0.57 / 5 =

0.114

Step-by-step explanation: