Answer:
The stationary matrix is:
S = [0.2791, 0.7209]
Step-by-step explanation:
The transition matrix, <em>P</em> is:
The stationary matrix S for the transition matrix P would be obtained by computing <em>k</em> powers of <em>P</em> until all the two rows of <em>P</em> are identical.
Compute P² as follows:
Compute P³ as follows:
Compute P⁴ as follows:
Compute P⁵ as follows:
For <em>k</em> = 5, we get both the rows identical.
The stationary matrix is:
S = [0.2791, 0.7209]
Well try writing on a peive of paper and measuring it
A) Choosing a <em>stratified random sample</em> might be preferable to an <em>SRS </em>because;
<em><u>Stratified random sampling would divide the population into stratas but the </u></em>
<em><u>SRS would not do so. The strata would be the type of room namely those </u></em>
<em><u>with water view and those with golf view.</u></em>
B) The reason why a cluster sample would be a simpler option is because;
<u><em>It will divide the population into multiple clusters that makes it easier to </em></u>
<u><em>work with unlike the SRS that generalizes. The clusters would be each of </em></u>
<u><em>the 30 floors.</em></u>
We are told that the manager wanted to select 120 rooms and carry out a survey on each registered guest by asking how satisfied they were with the hotel. He decided to use a sampling method called SRS which means Simple Random Sampling.
Simple random sampling is defined as a sampling method where individuals or objects are selected randomly from a population thereby given each person or object an equal chance of selection.
A) Stratified Random sampling is a method of sampling that divides the population into smaller groups known as objects/stata. In this case Stratified random sampling would be preferred to SRS because the hotel rooms are divided into two types namely those that can view the water and those that can view the golf course and as such the Stratified random sampling would divide the population but the SRS would not do so.
B) Cluster sampling is when the population is divided into multiple groups known for assessment. The reason why it would be a simpler option is because there are 30 floors and they can be classified as clusters and surveyed per floor.
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Answer:
D
Step-by-step explanation:
To shift down:
F(x)-b
To shift up:
F(x)+b
To shift right:
F(x-b)
To shift left:
F(x+b)
Start with the sum of x and 9, giving the expression
This is divided by 2 so
This equals 3x so the equation is
This can the be solved.
Multiply both sides by 2 to get
Then take x from both sides
Divide by 5 to get the value for x