The overhead reach distances of adult females are normally distributed with a mean of 202.5 and standard deviation of 8 cm. a. Find the probability that an individual distance is greater than 215.90 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 201.20 cm. c. Why can the normal distribution be used in part (b)even though the sample size does not exceed 30?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

Jessica is organizing a guided tour of the rain forest. the average profit per person that the touring company makes is given by the rational expression 18x+35/x, where x is the number of people going on the tour. what does the numerator of this rational expression represents?