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:

Which three lengths could be the lengths of the sides of a triangle? 21 cm, 7 cm, 7 cm 9 cm, 15 cm, 22 cm 13 cm, 5 cm, 18 cm 8 cm, 23 cm, 11 cm

Your food costs are $5,500. your total food sales are $11,000. what percent of your food sales do the food costs represent?

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?