Answer:
1/7 ;
0.0034
Step-by-step explanation:
Given that:
X = 1/14, 1/7, 3/14
n = number of observations = 3
Since, probability of X is equally likely ;
P(X) = Σp(x) = 1 ; p(x) = 1/n = 1/3
The mean, m ;
Σx*p(x) = (1/3 * 1/14) + (1/3 * 1/7) + (1/3 * 3/14)
= 1/42 + 1/21 + 3/42
= (1 + 2 + 3) / 42
= 6 / 42
= 1/7
The variance :
Σx²*p(x) - m²
((1/3) * (1/14)^2) + ((1/3) * (1/7)^2) + ((1/3) * (3/14)^2) - (1/7)^2
= 0.0238095 - 0.0204081
= 0.0034014
= 0.0034
Answer:
38 is the answer to your question hope that helps
Answer:
and 
Step-by-step explanation:
The correct equation is:

To solve by completing the square method.
Solution:
We have:

In order to solve by completing the square method we will carry out the following operations to the given equation to get a perfect square binomial.
We can write as:

[As
]
Adding both sides by 

Taking LCD to add fraction.


Taking square root both sides.


Subtracting both sides by
:


So, we have:
and 
and 
and
(Answer)
Answer:
$45.50
Step-by-step explanation:
1. $65.00 ÷ 100 = 0.65
2. 0.65 x 30 = $19.50
3. $65.00 - $19.50 = $45.50
Answer:
B. Long Term Goals