The GMC Casino has a new game. In order to play the game, the gambler is to pay $2. There is a 45% probability of losing $4, a 25% probability of breaking even, a 20% probability of winning $3, and a 10% probability of winning $10. Find E(X) = mu and find the population standard deviation.

If sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then

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.

Which term below correctly completes the following sentence? if a function has a vertical asymptote at a certain x value, then the function is what at that value