Answer:

Step-by-step explanation:
number of counties = 159
n number of people are mutually independent and equally likely home locations
considering the details given in the question
n ≤ 159
The number of ways for people ( n ) will live in the different counties (159) can be determined as
since the residents are mutually independent and equally likely home locations hence there are :
ways for the residents to live in
therefore the probability = 
Answer:
£9.6
Step-by-step explanation:
x = the original price of a CD
£x = 100% of the original price
The price of a CD was decreased by 20% to £7.68.
This means:
£7.68 = 100% - 20%
£7.68 = 80% of the original price
From this, we will find 1% of the original price.
£7.68 ÷ 80 = 1%
£0.096 = 1%
Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.
£0.096 × 100 = 100%
£9.6 = 100%
Therefore, the original price of a CD = £9.6
The given equation is non-linear.
Solution:
Given expression is
.
To find the equation is linear or non-linear.
Linear equation is a straight line which is in the form ax + by + c = 0.
Otherwise it is non-linear equation.
⇒ 
Do cross multiply for the fractions to make the denominators same.
⇒ 
⇒ 
Do cross multiplication.
⇒ 
⇒ 
Here, there is no constant term.
So, the equation is not a straight line.
Hence, the given equation is non-linear.
Conjecture
is an educated guess based on known information. Reached by using inductive reasoning
Answer:
(2/3)⁴, (4/9)² apply to 16/81
Step-by-step explanation:
16/81
8 * 2/27 * 3
4 * 2 * 2/9 * 3 * 3
2 * 2 * 2 * 2/3 * 3 * 3 * 3