A fair coin is tossed three times. The random variable X is defined to be 2^h , where h is the number of flips that come up heads. For example, X(HHT) = 2^2. What is E[X]? a. 3/2
b. 27/8
c. 2
d. 1

At a sale this week, a desk is being sold for $213. this is a 29% discount from the original price. what is the original price?

Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).

The distance between two points is 6.5cm and scale of map is 1: 1000 what's the distance between the two points