1. First of all arrange the data set in either ascending or descending order.
12, 19, 24, 26, 31, 38, 53. N = 7 (number of data items)
Median position = 1/2(N + 1)th item = 1/2(7 + 1)th item = 1/2(8)th item = 4th item = 26
First quatile = 1/4(N + 1)th item = 1/4(7 + 1)th item = 1/4(8)th item = 2nd item = 19
Third quatile = 3/4(N + 1)th item = 3/4(7 + 1)th item = 3/4(8)th item = 6th item = 38
Interquatile range = Third quartile - first quatile = 38 - 19 = 19
Answer:
The remainder is
−
7
Step-by-step explanation:
When
P
(
x
)
=
2
x
3
–
x
2
–
3
x
+
7 is divided by x
+
2
,we are dividing by x
−(
−
2), so the remainder will be:
P
(
−
2
)
=
2
−
2
)
3
–
(
−
2
)
2
–
3
(
−
2
)
+
7
=
−
16
−
4
+
6
+
7
=
−
20
+
13
=
−
7
Subtract 3y and move it to the right
X= 1 - 3Y
Answer:
see below
Step-by-step explanation:
24 - 3 x = -27
Subtract 24 from each side
24-24 - 3 x = -27-24
-3x =-51
Divide each side by -3
-3x/-3 = -51/-3
x = 17
Check
24 -3(17) = -27
24 -51 = -27
-27 = -27
Lightly draw a vertical line at -3 (x= -3 is the divider) on the left side graph x + 1, on the right side graph 1/2x + 2.
because these equations don't match up at the -3 coordinate, you have to draw an open (not colored in) circle at the beginning at the 1/2x-2 equation
