A stick has a length of 5 units. The stick is then broken at two points, chosen at random. What is the probability that all three resulting pieces are longer than 1 unit?

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 two lines form congruent alternate interior angles with a transversal, then the lines

The westins and the shermans live in the same city and pay the same sales tax rate, and both families made $14,000 in taxable purchases last year. if the westins made $86,000 and the shermans made $33,000 last year, is the sales tax in their city an example of a regressive tax? yes, because the westins and the shermans both paid the same sales tax rate. b. no, because the shermans paid a higher percentage of their income in sales tax than the westins did. c. no, because the westins and the shermans both paid the same sales tax rate. d. yes, because the shermans paid a higher percentage of their income in sales tax than the westins did.