Answer:
The side opposite the 60* angle has a length of the square root of 3/2
sin(60*) = the square root of 3/2
The other acute angle of the triangle is 30*
Step-by-step explanation:
A is not proportional because 1*3.50=3.50 but 2*3.50 is not 4.00
B is proportional because 1*2.50=2.50 and 2*2.50=5.00 and so on.
Variance is the average of the square of the differences of each data with the mean. To calculate for the variance, we first calculate for the mean. Then, we subtract each data with the mean. Next, each difference would be squared and added. The resulting value would be divided on how many data are used. We calculate as follows:
Mean = <span>9 + 7 + 6.5 </span>+ 7.5 + 7 + 8 + 5 + 6 + 7.5 + 8 / 10
Mean = 6.4
Squared of the sum of the differences = (9-6.4)^2 + (7-6.4)^2 + (6.5-6.4)^2 + (7.5-6.4)^2 + (7-6.4)^2 + (8-6.4)^2 + (5-6.4)^2 + (6-6.4)^2 + (7.5-6.4)^2 + (8-6.4)^2 = 17.15
Variance = 17.15 / 10 = 1.715