Answer:
0.0159
Step-by-step explanation:
Given that a common practice of airline companies is to sell more tickets for a particular flight than there are seats on the plane, because customers who buy tickets do not always show up for the flight.
Here if X is the no of persons that do not show up, then X is binomial as each trial is independent with p = 0.04 and n =150 (no of tickets sold)
The plane is overbooked if more than 150 show up
i.e. less than 2 do not show up
Hence the probability that the airline overbooked this flight
=
The Factor Theorem says (x - a) is a factor of function p(x) if p(a)=0
so check for p(-2)
= -2^4 +3(-2)^3 + 4(-2)^2 - 8
= 16 - 24 +16 -8
= 0
so (x + 2) is a factor
Answer:
sin(2A) = (2√2 + √3) / 6
Step-by-step explanation:
2A = (A+B) + (A−B)
sin(2A) = sin((A+B) + (A−B))
Angle sum formula:
sin(2A) = sin(A+B) cos(A−B) + sin(A−B) cos(A+B)
sin(2A) = 1/2 cos(A−B) + 1/3 cos(A+B)
Pythagorean identity:
sin(2A) = 1/2 √[1 − sin²(A−B)] + 1/3 √[1 − sin²(A+B)]
sin(2A) = 1/2 √(1 − 1/9) + 1/3 √(1 − 1/4)
sin(2A) = 1/2 √(8/9) + 1/3 √(3/4)
sin(2A) = 1/3 √2 + 1/6 √3
sin(2A) = (2√2 + √3) / 6
go here: https://www.meta-chart.com/share/untitled-14808
Answer:
laps can Fred run in one hour.
Step-by-step explanation:
Given Statement: Fred is running on the school track. He can run 
laps in 
of an hour.
Unit rate are expressed as a quantity of 1, such as 3 feet per second or 7 miles per hour, they are called unit rates
From the given condition we have;
In he can run 
laps
Unit rate per hour = 
=
laps
Therefore, Fred can run in one hour is, laps.
