In a certain game, a coin is flipped 4 times. if exactly one head comes up then the player gets a $1 profit ($1 more than the cost of the ticket). if exactly 2 heads come up then the player gets a $2 profit. if exactly 3 heads come up then the player gets a $4 profit. if all 4 are heads then the player gets an $8 profit. if no heads come up then he or she loses the cost p of the ticket. what should the cost p of the ticket be to make it a fair game?

An air conditioning system can circulate 350 cubic feet of air per minute. how many cubic yards of air can it circulate per minute?

What is the expression in factored form? -20x^2 - 12x a. 4x(5x+3) b. -4x(5x-3) c. -4(5x+3) d. -4x(5x+3)

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.