The united states bureau of labor statistics (bls) conducts the quarterly census of employment and wages (qcew)
and reports a variety of information on each county in america. in the third quarter of 2016, the qcew reported the total
taxable earnings, in millions, of all wage earners in all 3222 counties in america.
suppose that james is an economist who collects a simple random sample of the total taxable earnings of workers in 58
american counties during the third quarter of 2016. according to the qcew, the true population mean and standard
deviation of taxable earnings, in millions of dollars, by county are u = 28.29 and o = 33.493, respectively.
let x be the total taxable earnings, in millions, of all wage earners in a county. the mean total taxable earnings of all wage
earners in a county across all the counties in james' sample is x.
use the central limit theorem (clt) to determine the probability p that the mean taxable wages in james' sample of 58
counties will be less than $35 million. report your answer to four decimal places.
p (* < 35)= ||

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

answer: b

step-by-step explanation:

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: