Answer:
a) 27
b) 15
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The mean of the uniform distribution is:

The variance of the uniform distribution is given by:

The standard deviation is the square root of the variance.
They can be said to follow a Uniform distribution from 1 to 53
This means that 
a. The mean of this distribution is

b. The standard deviation is:

To find f(2), put 2 where the variable is, then do the arithmetic. It might be easier to factor out x^2:
f(x) = (-6x-4)·x^2
f(2) = (-6·2-4)·2^2
= -16·4
= -64
Then the ordered pair (x, f(x)) for x=2 is
B. (2, -64)
Answer: 
Step-by-step explanation:
Given the following inequality:

You need to solve for "x" in order to find the solution.
The steps are:
1. Add
to both sides of the inequality:

2. Add
to both sides:

3. Divide both sides by
:

Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.
The solution in Interval notation is:

Answer:
Step-by-step explanation:
<u>Given infinite geometric series</u>
- 1/4, 1/5, 4/25, 16/125, ...
<u>We see that</u>
<u>Sum of the series</u>
- S = a*1/(1 -r)
- S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4
4 x 6 = 24.
Double the dimensions.
8 x 12 = 96
If the dimensions were to double, the area would quadruple.