Declan downloaded a game that cost $18. He has d dollars on the gift card he used to download the game. After downloading the game, he has more than $30 on the gift card. Write and solve an inequality to determine the number of dollars he had on the gift card before downloading the game.

Darren earned $663.26 in net pay for working 38 hours. he paid $118.51 in federal and state income taxes, and $64.75 in fica taxes. what was darren's hourly wage? question options: $17.45 $19.16 $20.57 $22.28

The random variable x has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 show that k = 2/9 find 2 e(x), 3 the mode of x, 4 the cumulative distribution function f(x) for all x. 5 evaluate p(x ≤ 2.5). 6 deduce the value of the median and comment on the shape of the distribution.

Which expression is equivalent to the one that is modeled? a) 3x + 4 b) 3(3x + 4) c) 3(x + 4) d) 4(x + 3)