A ticket from on a certain flight sells for $160. The plane can hold 96 people. It costs $8000 to fly the plane no matter how many are on board. Each person on the plane incurs variable costs of $30 (for food and fuel). If the flight is overbooked, anyone showing up for the flight who cannot get a seat receives $280 in compensation. Historically, the probability that someone with a reservation shows up for the flight is 93%. 1. Use simulation to analyze the expected profit per flight based on the airline booking 105 reservations for it each time. 2. How many reservations would you recommend the airline book on a regular basis for this flight?

the answer is d

step-by-step explanation:

pi x^2

step-by-step explanation:

pi times x squared

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week