If f is a function and x is an element in its domain, which statement is true about the graph of f? the graph of f is the graph of the equation f = x. the graph of f is the graph of the equation y = x. the graph of f is the graph of the equation y = f(x). the graph of f is the graph of the equation x = f(y).

An appropriate choice among these is
  The graph of f is the graph of the equation y = f(x).


Horizontal and vertical axes of the Cartesian plane are conventionally labeled and referred to as "x" and "y", respectively. When we talk about the graph of f(x) in that context, we usually mean the graph of y=f(x). However, this convention may not be followed in all cases. There may be no "y" label on the graph at all, or the horizontal axis may be labeled something other than "x".

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

The probability for this value of z is

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

The probability for this value of z is

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.