sketch the graph of a function y=f(x) with all of the following properties: f′(x)>0 for −2≤x<1 f′(2)=0 f′(x)>0 for x>2 f(2)=2 and f(0)=1 limx→−[infinity]f(x)=0 and limx→[infinity]f(x)=[infinity] f′(1) does not exist.

step-by-step explanation:

10.50 + taxes which added up to 11.50

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

she will travel a distance in the range of 3 - 11 miles