A tour operator has a bus that can accommodate 20 tourists. The operator knows that tourists may not show up, so he sells 21 tickets. The probability that an individual tourist will not show up is 0.02, independent of all other tourists. Each ticket costs 50, and is non-refundable if a tourist fails to show up. If a tourist shows up and a seat is not available, the tour operator has to pay 100 (ticket cost 50 penalty) to the tourist. What is the expected revenue of the tour operator

985

Step-by-step explanation:

Expected Value : If as per planning, only 20 tourists come up at booking of 21 people = per tourist ticket x 21 number of people      :- 21 x 50 = 1050

Prob (a tourist coming) = 0.02 , Prob (a tourist not coming)                :- 1 - 0.02 = 0.98

Prob (21 tourists coming) = (0.98)^21 = 0.654

Loss in this case = 100

So, expected revenue = 1050 - (0.654)100

1050 - 65.4

= 984.6 = 985

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: