Answer:
0.4069 ; 1.843
Step-by-step explanation:
Given:
Base of parallelogram, b = (2x - 1)
Height = (4x - 7)
Area = 1
Area of parallelogram = Base * height
Area of parallelogram = (2x - 1) * (4x - 7)
(2x - 1) * (4x - 7) = 1
8x² - 14x - 4x + 7 = 1
8x² - 18x + 7 - 1 = 0
8x² - 18x + 6 = 0
Divide through by 2
4x² - 9x + 3 = 0
Solving the quadratic equation :
Using the formula
-b ± √(b² - 4ac) / 2a
a = 4 ; b = - 9 ; c = 3
Plugging in the values :
-(-9) ± √((-9)² - 4(4)(3)) / 2(4)
9 ± √(81 - 48) / 8
9 ± √33 / 8
(9 ± 5.7445626) / 8
(9 - 5.7445626) / 8) = 0.4069
(9 + 5.7445626) / 8 = 1.843
The dollar number that defines where the lowest values falls is
20% percentile value =$20
This is further explained below.
<h3 /><h3>What is the dollar number that defines where the lowest value falls?</h3>
Generally, Now we need to determine the 20th percentile ($20). It indicates that we need to locate a dollar amount that marks the point at which the 20 % data has a value lower than that number.
i=(p/100)*n
Where i is the position of p^th
percentile when the data is presented in ascending order.
i=20/100*50
i=1000/100
i=10
Therefore
n=50
p=20
In conclusion, the 10th position for given data is 20,
Therefore, 20% percentile value =$20
Read more about percentile
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A= 1,050×(1+0.06)^(25)
A=4,506.46
Interest earned=4506.46-1050= =3,456.46
Answer:
Assuming the question is how much interest you will pay in the given time frame with the given terms.
Step-by-step explanation:
Borrowed $300
18% per yr = 18/12 = 1.5% per month
You borrowed for 6 months so you will end up paying 1.5%*6 =9% in interest
$300*(9% or 0.09) = $27 in interest paid + $300 in principal paid if paid off in 6 months.
<u>Total $327.</u>
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<em>If this was an economics class you would also have to factor in the depreciation of the principal amount month to month with minimum payments but I am guessing this is just a basic question so the above answer is correct enough.</em>
Answer:
"Members of a population are organized in clusters, each of which is representative of the population, and then whole clusters are randomly selected to make up the sample"
Step-by-step explanation:
In cluster random sampling, "the population is divided, usually geographically, into groups that generally have the same size. A certain number of groups are randomly chosen, and every individual in the chosen groups are chosen for the sample."
In accord with this logic, the second choice, "Members of a population are organized in clusters, each of which is representative of the population, and then whole clusters are randomly selected to make up the sample" seems to be correct.
NOTE: This may not be the correct answer. I am simply basing my answer on the definition I have learnt.
