Consider flipping a fair coin. suppose that you flip the coin repeatedly until you get a heads then a tails consecutively, in that order. for example, some flipping sequences are: ht, t, and hhht. let x be the random variable for the number of flips completed. find e[x] and var(x). you may use wolfram alpha or another tool to compute the value of any infinite sums.

Asquare parking lot has 6,400 square meters what is the length in meters

Acompany manufactures three types of cabinets. it makes 110 cabinets each week. in the first week, the sum of the number of type-1 cabinets and twice the number of type-2 cabinets produced was 10 more than the number of type-3 cabinets produced. the next week, the number of type-1 cabinets produced was three times more than in the first week, no type-2 cabinets were produced, and the number of type-3 cabinets produced was the same as in the previous week.

Shannon drove for 540 minutes. if she traveled 65 miles per hour,how many total miles did she travel?