The graph shows the function f(x) which equation represents f(x)?

Some times it's really very easy to answer the problem just by looking over the given problem.

For the given graph, we need to observe some(or any) point on the graph that can conclude anything to answer the given problem.

Generally we observe x or y-intercepts of the graph first.

Let us observe the y-intercept of the given graph, because we can see a clear picture of y-intercept there.

By looking on the graph, we can see y-intercept is at -1.

Note: y-intercept is a point on y-axis where value of x is 0.

Now let us observe the given functions in the given options.

First option: If we plug x=0 in the given function, we get f(0)=0.

So, y-intercept for first option is 0.

Second option: If we plug x=0, we get a negative -1 inside radical. Cube root of -1 is -1. On multiplying by -1 we get +1.

So, y-intercept for second option is 1.

Third option : If we plug x=0 in that function, we get 0-1 = -1.

So, the y-intercept for third function is -1.

Therefore, function in third option is the correct function for given graph.

Therefore, third option     is correct option.

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

i need more details

step-by-step explanation: