) A phone company divides a city into n cells c1 ,c2 , ...,cn . In each cell it has a tower. When a call comes to a mobile user the company has a set of probabilities p1 , p2 , ..., pn such that the user is now at cell ci with pi probability. The company wants to activate as few towers as possible on average to find the user. When it activates a tower in a cell where the user is, the search stops. Search time is divided into d slots. By the end of d slots the user must be found. The question the company faces is what are the towers(cells) to activate in slot 1, 2, ..., d as to minimize the expected number of activations. More specifically, the company wants a policy which is a collection of d sets S1 , S2 , ..., Sd where Si contains towers (cells) to be activated at slot i.

4

step-by-step explanation:

6 (donuts) divided by 3 is 2.

so 2/3 means 2 times 2, which is 4/6.

you get two and your friend gets four.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

income. 10x+1300

expenses 3x+(1800+1500)

expenses 3x+3300

to break even:

income = expense,

10x + 1300 = 3x + 3300,

solve for x.

step-by-step explanation:

mark brainliest

the bolded word " farsighted" could be replaced with visionary.