Problem Emily convinced her mom to buy a giant box of her favorite cereal. Her mom doesn't think the box will fit on their shelf
1 answer:
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Answer:
The probability is
Step-by-step explanation:
If she has n distinct password candidates and only one of which will successfully log her into a secure system, the probability that her first first successful login will be on her k-th try is:
If k=1
Because, in her first try she has n possibles options and just one give her a successful login.
If k=2
Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and 1 of that give her a successful login.
If k=3
Because, in her first try she has n possibles options and n-1 that are not correct, then, she has n-1 possibles options and n-2 that are not correct and after that, she has n-2 possibles options and 1 give her a successful login.
Finally, no matter what is the value of k, the probability that her first successful login will be (exactly) on her k-th try is 1/n
Answer:
Step-by-step explanation:
1. The slope-intercept form of a linear equation is , where y = y-coordinate, m = slope, x = x-coordinate, and b = slope.
2. To find the slope, let's take the two points (0,0) and (-40,10). After that, let's plug in the values to their corresponding variable in the formula:
3. Since we now know our slope, the equation looks like this so far: .
4. Because b is the y-intercept, b = 0 because the line intersects the y-axis at (0,0).
5. Now that we have the values of m and b, we plug in them to get the equation of: