What is the graph of -x + 3y < 18
1 answer:
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Answer:
30th percentile:109
90th percentile: 188
Step-by-step explanation:
The given data set is:
129, 113, 200, 100, 105, 132, 100, 176, 146, 152
We arrange the data set in ascending order to obtain;
Array=
The 30th percentile is located at
-th position, where n=10 is the number of items in the data set
This implies that the 30th percentile is at the 3rd position.
Since 3 is an integer, the 30th percentile is the average of the 3rd and 4th occurrence in the array;
This implies that the 30th percentile =
The 90th percentile is located at
-th position, where n=10 is the number of items in the data set
This implies that the 90th percentile is at the 9th position.
Since 9 is an integer, the 90th percentile is the average of the 9th and 10th occurrence in the array;
This implies that the 90th percentile =
Answer:
The length of the sides of the square is 9.0015
Step-by-step explanation:
Given
The diagonal of a square = 12.73
Required
The length of its side
Let the length and the diagonal of the square be represented by L and D, respectively.
So that
D = 12.73
The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:
Solving further, we have
Divide both sides by 2
Take Square root of both sides
Reorder
Now, the value of L can be calculated by substituting 12.73 for D
(Approximated)
Hence, the length of the sides of the square is approximately 9.0015