Answer: y = 7
Step-by-step explanation:
√8y - 7 = 7
(√8y - 7)^2 = (7)^2
8y - 7 = 49
+7. +7
8y = 56
Y = 7
Answer:
2; 28.5 ; 34 ; 36 ; 38
Step-by-step explanation:
Given the data:
X = 25, 28, 29, 30, 34, 35, 35, 37, 38
n = 9
Values have been arranged in ascending order ;
The 5 number summary :
Maximum value : highest data value in the list = 38
Minimum value : Lowest data value in the list = 25
The lower quartile ; Q1 = 1/4(n+1)th term
Q1 = 1/4(10) th term = 2.5th term
Q1 = (2nd + 3rd) / 2 = (28+29)/2 = 28.5
Q2 = 1/2(n+1)th term
Q2 = 1/2(10) th term = 5th term
Q2 = 34
Q3 = 3/4(n+1)th term
Q3 = 3/4(10) th term = 7.5th term
Q3 = (7th + 8th) / 2 = (35+37)/2 = 36
Maximum value = 38 (highest data value in the list)
130.47 - 108.17
22.3 percentage increase
The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:
1. <span>Construct a circle with its center at point H.
2. </span><span>Construct horizontal line l and point H on line l
3. </span>Label
the point of intersection of the circle and line l to the left of point
H, point J, and label the point of intersection of the circle and line l
to the right of point H, point K.<span>
4. Construct
a circle with its center at point J and having radius HJ .
Construct a circle with its center at point K having radius HJ
5. </span><span>Label
the point of intersection of circles H and J that lies above line l,
point M, and the point of their intersection that lies below line l,
point N. Label the point of intersection of circles H and K that lies
above line l, point O, and the point of their intersection that lies
below line l, point P.
6. </span><span>Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .</span>
The Midpoints of the line segment is (2, 5/2)
Step-by-step explanation:
The line is defined by starting and ending coordinates.
As given in the question starting coordinates are given as (3,-2) and the ending coordinates are provided as (1,7)
The midpoint of the life segment-
The midpoint of the line can be found by individually finding of each “x” and “y” coordinate from both ends.
Thus, x coordinate of the midpoint is (3+1)/2= 2
Similarly, the Y coordinate of the midpoint is (-2+7)/2 = 5/2
Hence the Midpoint of the life segment- (2, 5/2)
