An urn initially contains 2 balls, one of which is red and the other blue. At each stage a ball is randomly selected. If the selected ball is red, then it is replaced with a red ball with probability .7 or with a blue ball with probability .3; if the selected ball is blue, then it is equally likely to be replaced by either a red or blue ball. Tet X, equal 1 if the nth ball selected is red, and let it equal 0 other- ise Is {X,,n> 1} a Markov chain?

Match each feature with the savings account type

Titus manufacturing, inc. provided the following information for the year: purchases - direct materials $91,000 plant utilities and insurance 68,000 indirect materials 11,170 indirect labor 4270 direct materials used in production 99,000 direct labor 117,500 depreciation on factory plant & equipment 4000the inventory account balances as of january 1 are given below. direct materials $44,000 work-in-progress inventory 10,000 finished goods inventory 50,000what is the ending balance in the direct materials account? $135,000 $36,000 $110,170 $6000

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.