Annie and alvie have agreed to meet between 5: 00 pm and 6: 00 pm for dinner at a local health-food restaurant. let x = annie's arrival time and y = alvie's arrival time. suppose x and y are independent with each uniformly distributed on the interval [5,6].a. what is the joint pdf of x and y? b what is the probability that they both arrive between 5: 15 and 5: 45? c if the first one to arrive will wait only 10 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? (hint: the event of interest is a = {(x, y): |x-y| (greather than or equal to) (1/6)}

your answer   is c

step-by-step explanation:

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)

2 liters for 10   people

step-by-step explanation:

d will be the best answer