In 2011 the u. s. department of transportation reported with 95% confidence that the average length of a motor vehicle trip in the united states was 9.72 miles with a margin or error of 0.22 miles.
with 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the united states is between miles.
the level of confidence for this estimate is %.

Given : The average length of a motor vehicle trip in the United States was 9.72 miles

The margin of error = 0.22 miles

Significance level :

The confidence interval for population mean is given by :-

Thus , with 95% confidence the authors of the report are claiming that the true average length of a motor vehicle trip in the United States is between 9.50 miles and 9.94 miles.

The level of confidence for this estimate is 95%.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.