Problem 3 The following graph represents a company’s cost, C, to produce (in blue) x
bottles of household cleaning product. The graph also represents the same company’s revenue, R, (in black) for selling x bottles of household cleaning product.

Part a)
Use the graph to answer the following questions about
(R−C)(x):On what interval(s) is (R−C)(x) positive? What does this tell you in the context of the problem?

On what interval(s) is (R−C)(x) negative? What does this tell you in the context of the problem?

What are the x−intercept(s) of (R−C)(x)? What does this tell you in the context of the problem?

Needmax recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

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.

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.