We choose 500 numbers uniformly at random from the interval [1.5, 4.8].

(a) Approximate the probability of the event that less than 65 of the numbers start with the digit 1.
(b) Approximate the probability of the event that more than 160 of the numbers start with the digit 3.

50.6

step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

0.32

step-by-step explanation:

2.24/7

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: