You play a carnival game where you have to throw a ball into a barrel to win a $20 prize. You will play a maximum of three times, but walk away if you win. If it costs $4 to play and you have a 5% chance of making a throw, find the expected value and standard deviation of your "winnings" (cost included).

Under normal conditions, 1.5 feet of snow will melt into 2 inches of water. during a winter season high in the mountains, 301 feet of snow fell. how many inches of water will there be when the snow melts?

Haley buys 9 pounds of apples for $3. how many pounds of apples can she buy for $1?

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.