A bag contains two blue marbles, two green marbles, and three purple marbles. You randomly select a marble from the bag then roll a standard six-sided number cube. Let A be the event that you select a green marble. Let B be the event that you roll a number less than 3. The P(A∩B)=0.0952. Calculate P(A), P(B). Explain and show how to use those two probabilities to determine if events A and B are independent. Are the events independent? Round each calculation to four decimal places

(a) what was jennifer's gross pay for the year? (b) how much did she pay in state income tax? (c) the amount in box 4 is incorrect. what dollar amount should have been entered in box 4? (d) the amount in box 6 is incorrect. what dollar amount should have been entered in box 6? (e) how much was jennifer's fica tax? (f) jennifer's taxable income was $32,104. she's filing her taxes as head of household. does she owe the government more in taxes, or will she receive a refund? how much will she owe or receive?

What is the value of x in the diagram below?

Over the last 8 nights, elyse earned the following in tips: {105, 120, 84, 95, 100, 132, 140}. if she earns $140 a night for the next four nights, which measure of center would increase more, the mean or median?