Answer: Ordinal
Step-by-step explanation:
We know that the ordinal scale is a level of measurement which is used when we are ordering attributes according to their ranks or preferences.
For example : In an exam we arrange position of students as :
First > Second > Third and so on.
Given : A group of women tried five brands of fingernail polish and ranked them according to preference. It means she is arranging the brands in an order .
Thus this is an ordinal level of measurement .
Answer:
p=-2
Step-by-step explanation:
-11=p-9
Add 9 to each side
-11+9=p-9+9
-2 =p
The answer is 74.32 y ok it welcome
Answer:
12 ≠ 14
Step-by-step explanation:
(4+8)=2+(6x2)
12 = 2 + 12
12 ≠ 14.
So the equation is false.
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
