The inverse of f(x) is a function. true or false ?

The answer is True

Step-by-step explanation:

we know that

The function f(x) is a vertical parabola open downward

so

The equation of f(x) into vertex form is equal to

where

(h,k) is the vertex of the parabola

Let

Exchanges the variables x for y and y for x

Isolate the variable y

the coefficient a is negative

Let

------> inverse of the function f(x)

therefore

The inverse of f(x) is a function

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

6e14 is the answer.