Confidence in banks: a poll conducted in 2012 asked a random sample of 1268 adults in the united states how much confidence they had in banks and other financial institutions. a total of 144 adults said that they had a great deal of confidence. an economist claims that less than 11% of u. s. adults have a great deal of confidence in banks. can you conclude that the economist's claim is true? use both =α0.05 and =α0.10 levels of significance and the p-value method with the ti-84 plus calculator.

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  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).