Answer:
a) The probability that exactly 17 of them enroll in college is 0.116.
b) The probability that more than 14 enroll in college is 0.995.
c) The probability that fewer than 11 enroll in college is 0.001.
d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.
Step-by-step explanation:
We can model this with a binomial distribution, with n=29 and p=0.65.
The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:
a) The probability that exactly 17 of them enroll in college is:
b) The probability that more than 14 of them enroll in college is:
c) Using the probabilities calculated in the point b, we have:
d) The probabilities that more than 24 enroll in college is:
Answer:
Given the following: 4 times 384 can help you find 4 times 5384.
Now, find 
Using Distributive property: 
We can write as
Apply distributive property we have;
Now, find both products;
we know:
= 21,536
<h3>
Answer: B.) it is a one-to-one function</h3>
Explanation:
It's a function because it passes the vertical line test. It's also one-to-one because it passes the horizontal line test.
The vertical line test is where we try to draw a single line through more than one point on the blue curve. Such a task isn't possible in this case, and we consider the curve passing the vertical line test. The horizontal line test is nearly identical, but we're dealing with horizontal lines of course.
I believe you are asking in how many ways they can sit. If so:
The 1st can sit anywhere: he has only 1 way to sit
The 2nd can sit in 11 ways, since one seat is already occupied
The 3rd can sit in 10 ways, since 2 seat are already occupied
The 4th can sit in 9 ways, since 3 seat are already occupied
The 5th can sit in 8 ways, since 4 seat are already occupied
--------------------------------------------------------------------------------
The 12th can sit in 1 way, since11 seat are already occupied
General formula for a circular table:
Number of ways they n persons can be seated: (n-1)!
and the 12 can be seated in (12-1)! = 11! = 39,916,800 ways.
This is called circular permutation
Answer:
4.5
Step-by-step explanation:
1/2 times base times height
( Area of a triangle )
1/2(3)(3)
=4.5
