Answer:
100,000 possible passwords
Step-by-step explanation:
5 vowels, each of the letters in the password can be chosen: 5^5=3125.
If it's case sensitive, then there's 10 choices for each character: 5^10= 100,000
Binomial
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n=10)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (defective/normal)3. Probability is known and remains constant throughout the trials (p=5%)4. All trials are random and independent of the others (assumed from context)The number of successes, x, is then given by

where

Substituting values, p=0.05, n=10, X=exactly 1
for X=1 (defective out of n)
P(X=1)=C(10,1)0.05^1*(1-0.05)^(10-1)
=10!/(1!9!)*0.05*0.95^9
=10*0.05*0.0630249
=0.315125 (to 6 places of decimal)
Answer:

Step-by-step explanation:
Given: The attachment
Required: Determine the equation
We start by picking any two equivalent points on the table:


Next, we determine the slope, M:




The equation is then calculated as:

Where:


So, we have:

Open bracket

Collect like terms


Hence, the equation is: 
Looking at the question we can see that it says:

We should know what these symbols mean:
stands for something less than the other, for example:
We can say that 2 is less than 5 so in a symbolic form it can be written as,
Similarly,
stands for something greater than the other, for example:
We can say that 7 is greater than 5, in a symbolic form it can be written as,

So here,
means that, 42153 is greater than 35214.
C = 2 pi r
C = 2 x 3.14 x 11.5
C = 72.22
answer is <span>
A. 72.22 cm</span>