P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ
1 answer:
It's given in the question,
P, Q, V and K are collinear.
VP = 14x + 4
PK = x + 630
VQ = 17x + 6
KQ = 11x + 5
By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x =
x = 15
Therefore, value of VP = (14x + 4)
= 14(15) + 4
= 214 units
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Answer:
Min = 0; Q₁ = 0; Median = 2; Q₃ = 2; Max = 8
Step-by-step explanation:
Assume that your sorted data are
0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8
1. Minimum
Min = 0
2. Median
The median is the middle value in a sorted data set. There are 25 items, so the median is the 13th item.
Median = 2
3. First quartile
Q₁ is the median of the lower half of the data set.
The median of 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2 is 0.
Q₁ = 0
4. Third quartile
Q₃ is the median of the upper half of the data set.
The median of 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8 is 3.
Q₃ = 3
5. Maximum
Max = 8
