Suppose we roll two fair four-sided dice. let x denote the sum of the two roll outcomes. for example, if the first roll yields "3" and the second roll yields "1," then x = 3 + 1 = 4. the probability distribution for x is given: value of x 2 3 4 5 6 7 8 probability 1/16 2/16 3/16 4/16 3/16 2/16 1/16 p(x < 5) has value:

Katie wants to collect over 100 seashells. she already has 34 seashells in her collection. each day, she finds 12 more seashells on the beach. katie can use fractions of days to find seashells. write an inequality to determine the number of days, dd, it will take katie to collect over 100 seashells.

Juanita wade's new car has an msrp of $28,902.11 including title and processing fees. the premier package which includes surround sound and dvd player costs three times the amount of the in-style package which includes leather seats and select wheels. the total cost of her new car was $34,290.08 which included the 6.5% sales tax. find the cost of the premier package to the nearest cent.

Abag contains pieces of paper numbered from 5 to 9. a piece of paper is drawn at random. what is the theoretical probability of drawing a number less than 8?