Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets for a flight that holds only 120 passengers. The probability that a passenger does not show up is 0.10, and the passengers behave independently. Round your answers to four decimal places (e. g. 98.7654).

Answer is 0.9738

Step-by-step explanation:

Given, n == 125

Probability that passenger will not show up, q = 0.10

Probability that passenger will show up, p = 1 - q

                                                                      = 1 - 0.10

                                                                      = 0.9

The probability that the flight departs with empty seats.

μ = np  ==>  125 x 0.9  ==>  112.5

σ = √npq ==> √125x0.9x0.1  ==> 3.354

∴ P( Z ≤ )

P ( Z ≤ 1.94 )

= 0.9738

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation: