The lengths of a professor's classes has a continuous uniform distribution between 60.0 min and 90.0 minutes. If one such class is randomly selected, find the probability that the class length is less than 76 min.

0.533

Step-by-step explanation:

Given that :

Class length has a Continuous uniform distribution between 60 - 90 min

Lower limit (L1) = 60

Upper limit (L2) = 90

Probability that class length is less than 76 min

P(x < 76):

(x - L1) / (L2 - L1)

(76 - 60) / (90 - 60)

16 / 30

= 0.533

P(x < 76) = 0.533

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)