5,000 is 1/10 of blank
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 answer is x = 6 units.
Step-by-step explanation: Please refer to the attached diagram
The diagram in the question shows two triangles placed on each other and for convenience sake has been labelled ABDCE. Triangle ABC is a right angled triangle, and so is triangle ADE. From the marks on the lines, we can infer that line AD is equal in measurement to line DB. Also line AE is equal in measurement to line EC.
Therefore we can see the similarity in both triangles, if AD and AE equals DB and EC, then it follows that DE equals BC.
Hence if AD = DB and
AE = EC, and
DE = BC
Then, x - 3 = ½x
(½x can also be expressed as x/2)
x - 3 = x/2
By cross multiplication we now have
2(x - 3) = x
2x - 6 = x
By collecting like terms we now have
2x - x = 6
x = 6
