The graph of f(x) = 2x + 1 is shown below. explain how to find the average rate of change between x = 0 and x = 3.

The average rate of change is 2.

Step-by-step explanation:

If we have a function f(x),

Then the average rate of change in the function from x = a to x = b is,

Here, the given function is,

f(x) = 2x + 1 -----(1)

Thus, the average rate of change between x = 0 and x = 3 is,

From equation (1),

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560