Which modified box plot represents the data set? 10, 12, 2, 4, 24, 2, 7, 7, 9
2 answers:
Answer:
(D)
Step-by-step explanation:
The given data set is:
10, 12, 2, 4, 24, 2, 7, 7, 9
Firstly arrange the given data set in ascending order, we get
2, 2, 4, 7, 7, 9, 10, 12, 24
Now, the median of the above given data set is:
The upper quartile is:
9, 10, 12, 24
thus,
The lower quartile is:
2, 2, 4, 7
thus,
The highest value of the given data set is 24 and the lowest value is 2.
Therefore, option D is correct.
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The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
What is the intermediate value theorem?
Intermediate value theorem is theorem about all possible y-value in between two known y-value.
x-intercepts
-x^2 + x + 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x = -1, x = 2
y intercepts
f(0) = -x^2 + x + 2
f(0) = -0^2 + 0 + 2
f(0) = 2
(Graph attached)
From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3
For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.
<em>Your question is not complete, but most probably your full questions was</em>
<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>
Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
Learn more about intermediate value theorem here:
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