Alper, beatta, and grandma each pick five cards from a shuffled standard deck. alper replaces the card and reshuffles each time he picks. beatta picks from the deck without replacement. grandma repeatedly picks the top card from the deck and puts it back on the top of the deck. count an ace as 14, a king as 13, and so on. let x, y, z be the sum of the numbers alper, beatta, and grandma get, respectively. which of x, y, z has or have the largest expected value?

On new year's day, the average temperature of a city is 5.7 degrees celsius. but for new year's day 2012, the temperature was 9.8 degrees below the average. i) if a represents the average temperature on new year's day and 7 represents the temperature on new year's day 2012, what formula accurately relates the two values together? ii) what was the temperature on new year's day 2012? dt a 0.8 ii) - 4 1 degrees celsius da-t-98 ii) 59 degrees celsius 1) 7 = -9,8 11) 59 degrees celsius ii) l degrees celsius

Which zero pair could be added to the function f(x) = x2 + 12x + 6 so that the function can be written in vertex form? o 3, -3o 6,629,-936, 36

The ivring berlin learning center would like a possible net profit of $650,000 on its new resource manual it sells to schools. the fixed costs for producing the manual are $780,000 and the variable cost per package is $19.85. if the estimated unit sales are 1,250,000 units, what selling price unit should the ivring berlin learning center try?