A man is standing on an infinite ladder. In one move, he can either go up (with probability 0.5), or stay where he is (with probability 0.5). Please simulate one trip and print out the number of steps the man takes to move 100 steps up from his initial position. Hint: consider using inline if statement

Pseudo Code:

//Start

//position = 0 #Initial position on the ladder

//steps = 0 #initial moves of the man

//while position <= 100: #the man keeps moving until he moves 100 steps

//     if randomint(1, 2) = 1: #this simulates the probability of 0.5

//          position = position + 1 #the man only moves up with 0.5 probability

//     end if

//     steps =steps + 1 #this counts the total moves a man takes

//end while

//output steps #print the number of moves taken

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4