The time to fly between New York City and Chicago is uniformly distributed with a minimum of 120 minutes and a maximum of 150 minutes.
A) What is the distribution's mean?
B) What is the distribution's standard deviation?
C) What is the probability that a flight is less than 135 minutes?
D) What is the probability that a flight is more than 140 minutes?

a) 135 minutes

b) 15

c) 0.5

d) 0.3707

Step-by-step explanation:

A) What is the distribution's mean

mean(m) = (120 + 150)/2 = 270/2 = 135 minutes

B) What is the distribution's standard deviation

standard deviation(s)

s = 15

C) What is the probability that a flight is less than 135 minutes

firstly calculate z score

z score = (x - m)/s = (135 - 135)/15 = 0

P(x<135) = z(0) = 0.5

D) What is the probability that a flight is more than 140 minutes?

z score = (x - m)/s = (140 - 135)/15 = 0.33

P(x>140) = 1 - P(x<140) = 1 - 0.6293 = 0.3707

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

what is the question? i am guessing you are looking for the area.

to find an area, you have to do length x width.

in this case, it would be 12 ft x 4 ft = 48 sq. ft