Nationalism flourished between 1750 and 1900 because during this time nations were establishing and strengthening themselves internally as homogeneous groups with a common culture.
<h3>What is nationalism?</h3>
Nationalism is a term to refer to a sociopolitical ideology that emerged together with the modern concept of the nation that characterized different historical events such as:
- Age of the Revolutions.
- Independence movements of the European colonies in America.
Nationalism is based on a higher level of awareness and identification with the reality and history of a nation, that is, it is based on the belief that there are certain characteristics common to a national community that must be legitimized and politically modeled.
This ideology was very successful from the middle of the 18th century because from that time there was a transition between the kingdoms and the Middle Ages to the modern age and the conformation of the modern states.
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STEP-BY-STEP SOLUTION:
Let's solve this problem step-by-step.
We will be using simultaneous equations to solve this problem.
Let's first establish the equations we will be using as displayed below:
Let x = fancy shirts
Let y = plain shirts
Equation No. 1 -
x + y = 7
Equation No. 2 -
28x + 15y = 131
To begin with, let's make ( x ) the subject in the first equation as displayed below:
Equation No. 1 -
x + y = 7
x = 7 - y
Now let's substitute the equation for ( x ) from the first equation into the second equation as displayed below:
Equation No. 2 -
28x + 15y = 131
28 ( 7 - y ) + 15y = 131
196 - 28y + 15y = 131
- 28y + 15y = 131 - 196
- 13y = - 65
y = - 65 / - 13
y = 5
From here, let's substitute the value of ( y ) from the second equation into the first equation as displayed below:
Equation No. 1 -
x = 7 - y
x = 7 - ( 5 )
x = 2
ANSWER:
x = 2
y = 5
Therefore, Kecia bought a total of 2 fancy shirts and 5 plain shirts.
Answer:
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The 45th percentile of the data given above (P₄₅) is 16.225.
<h3>What is percentile in statistics?</h3>
Percentile refers to the mathematical or statistical term that is used to indicate the position of a data in relation to others from the sample given.
<h3>How did we arrive at the above figure?</h3>
Step 1 - First all data must be arranged in ascending order:
See the attached table for this.
Step 2 - We compute the position or rank of the 45th percentile.
The formula for percentile position is given as:
((n +1 ) *P)/100
= ((25+1) * 45)/100
= 11.70
Step 3 - Deploy the interpolation method because the position above is not an integer.
The numbers in positions 11 and 12 are where you'll find the 45 percent percentile. Based on the data arranged in ascending order, the values are 15 and 16.75.
The percentile we're seeking for is situated at the value of 11.7 - 11 = 0.7, which is the percentage of the space between 15 and 16.75.
Therefore,
(P₄₅) = 15 + 0.7 x (16.75 - 15)
(P₄₅) =16.225.
Learn more about percentiles at:
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