Answer:
Step-by-step explanation:
Length of:
First piece = x
Second piece = 4x
Third piece = 5x
Equation: 30 = 4x + 5x + x
Solving the Equation:
10x = 30
x = 3
Lengths of:
First piece = 3 inches
Second piece = 12 inches
Third piece = 15 inches
Using the formula given: d = <span>√(3h/2)
We simply substitute the given values of h into the equation and compare the results.
For Wyatt where h = 120:
d = </span>√(3(120)/2)<span>
d = 13.42 miles
</span><span>For Shawn where h = 270:
d = </span>√(3(270)/2)<span>
d = 20.12 miles
</span>
Since the question asks for how much farther can Shawn see, we subtract the results:
20.12 - 13.42 = 6.7
Therefore, Shawn can see 6.7 miles farther.
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