Root 3 /sin 20 - 1/cos 20
= (root3 cos 20 - sin 20 )/ (sin 20 cos 20)
(multiplying and dividing by 2)
= 2* (root3/2 cos 20 -1/2 sin 20)/ (sin 20 cos 20)
now sin 20 cos 20 = (2 sin 20 cos 20)/2 = (sin 40)/2
and writing root3/2 = sin 60, 1/2 = cos 60
= 2* (sin 60 cos 20 - cos 60 sin 20)/ (sin 40)/2
= 4* (sin (60-20))/sin 40
= 4* (sin 40)/sin 40
=4
Ask if any doubt in any step :)
5 is the GCF because 5 divided by 15 is 3 and 25 divided by 5 is 5.
Answer: The range is 13. The mean is 10. The standard deviation is 4.62 .
Step-by-step explanation:
The given data : 3, 6, 9, 11, 15, 16
Total number of data values : n = 6
The mean of data is given by :-
The standard deviation is given by :-
The range of the data : Maximum value -Minimum value
2:3:9......added together = 14
2/14 (500) = 1000/14 = 71.43
3/14 (500) = 1500/14 = 107.14
9/14 (500) = 4500/14 = 321.43
3.) A *the first one*
4.) C *the last one*
