In a board game, players take turns spinning a wheel with 4 spaces and values of $100, $200, $400, $900. The probability of landing on $100 is .22. The probability of landing on $900 is .54. The probability of landing on $400 is .23. The probability of landing on $200 is 0.01 What is the expected value of spinning the wheel once? Show work

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

The difference between two numbers is one. three times the larger number minus two times the smaller number is 9. what are the two numbers

Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x^3 + 4. include the average rate of change in your answer.