Answer:
24, 36, 48, and 60
Step-by-step explanation:
The data chosen when using a Systemic Sampling Technique has a specific set interval which keeps on repeating itself until all the data has been chosen. Therefore since the first number that was selected from the population was 12, we can assume that the selected numbers will be every 12 digits. Therefore based on this information, we can calculate that the next four numbers that are chosen would be the 24, 36, 48, and 60
Sinx=11/12
x=arcsin(11/12)°
x≈66° (to nearest whole degree)
...
sinα=(side length opposite angle α)/(length of hypotenuse)
Answer:
x= -4
Step-by-step explanation:
∠LMP + ∠PMN= 180° (adj. ∠s on a str. line)
-16x +13 -20x +23= 180
bring x term to 1 side, constant to the other:
-36x= 180 -13 -23
Simplify:
-36x= 144
x= 144 ÷ (-36)
x= -4
*The sum of the angles on a straight line is 180°
