The five number summary data for the data-set is:
<h3>What is the five number summary of a data-set?</h3>
The five number summary of a data-set is composed by:
- The smallest and the greatest value.
- The first quartile, which is the median of the bottom 50%.
- The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.
- The third quartile, which is the median of the upper 50%.
For this problem, we have that:
- The smallest value is of 0.
- The greatest value is of 11.
The data-set has 10 elements, which is an even cardinality, hence the median is the <u>mean of the 5th and the 6th elements</u>, hence:
Me = (5 + 5)/2 = 5.
The first half of the data-set is:
0, 2, 2, 4.
Hence the first quartile is:
Q1 = (2 + 2)/2 = 2.
The second half of the data-set is:
5,5,7,11.
Hence the third quartile is:
Q3 = (5 + 7)/2 = 6.
More can be learned about the five number summary data of a data-set at brainly.com/question/17110151
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Answer:
The answer to your question is:
x = 1
y = 1
z = 0
Step-by-step explanation:
-2x + 2y + 3z = 0 (1)
-2x - y + z = -3 (2)
2x + 3y + 3z = 5 (3)
Solve (1) and (2)
Multiply 2 by 2
-2x + 2y + 3z = 0
-4x -2y + 2z = -6
-6x + 5 z = -6 (4)
Solve (2) and (3)
Multiply 2 by 3
-6x - 3y + 3z = -9
2x + 3y + 3z = 5
-4x + 6z = -4 (5)
Solve (4) and (5)
Multiply (4) by 2 and (5) by -3
-12x + 10 z = -12
12x - 18z = 12
-6z = 0
z = 0
Then
-4x + 6(0) = -4
-4x = -4
x = -4/-4
x = 1
Finally
-2(1) - y + (0) = -3
-2 - y = -3
-y = -3 + 2
y = 1
Aight so first you need to isolate the y. Simply add 8 to both sides and now you have 1/4y = 33. Now divide both sides by 1/4 (which is the same by multiplying by 4) and you get 132