20= 1,2,4,5,10,20
36=1,2,3,4,6,9,12,18,36
48=1,2,3,4,6,8,12,16,24,48
Answer:
There is an association because the relative frequencies by row are different.
Step-by-step explanation:
The relative frequencies by row are:
90 perfect t-shirts out of 90+6=96 t-shirts is:
90/96 = 0.9375
6 flawed t-shirts out of 96 t-shirts is:
6/96 = 0.0625
40 perfect sweatshirts out of 40+10=50 sweatshirts is:
40/50 = 0.8
10 flawed sweatshirts out of 50 sweatshirts is:
10/50 = 0.2
The relative frequencies by row are different; this means there is an association.
Step-by-step explanation:
sin⁴ x − sin² x
Factor:
(sin² x) (sin² x − 1)
Pythagorean identity:
(1 − cos² x) (-cos² x)
Distribute:
-cos² x + cos⁴ x
cos⁴ x − cos² x
The answer is 3.4 because 30 can’t be divided equally into 9, reason being that 9 x 30 = 270 which doesn’t make sense, so you have to divide 30 equally into 9 parts then turn it into a ratio.
Answer:
(21, 17 )
Step-by-step explanation:
Using the midpoint formula and equating to the coordinates of the midpoint.
Let endpoint 2 have coordinates (x, y ), then
0.5(x - 3) = 9 ( multiply both sides by 2 )
x - 3 = 18 ( add 3 to both sides )
x = 21
and
0.5(y - 5) = 6 ( multiply both sides by 2 )
y - 5 = 12 ( add 5 to both sides )
y = 17
endpoint 2 = (21, 17 )
