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Recall that
We know to take the positive root here because , which means as well. Then
We then have
6. No it is not equilateral because a. All the angles should be congruent (60) and as we can tell, they are not, and b. you should never assume measurements.
8. GF is the longest because the angle for that side (GFH) is smaller than the others, so it means it has a longer side.
Your answer for 9 is wrong. The answer is yes because the largest angle = the largest side.
10. AC because largest angle = largest side
11. Literally the same thing as 9 and 10. Largest angle = largest side
We first take the sum of the squares of the differences between the sample data and the limit 45 mph: 1^2 + 11^2 + 0^2 + (-1)^2 + 0^2 + 16^2 + 10^2 + 8^2 + (-6)^2 = 579. Dividing by 8 (# of cars less 1) gives 72.375, which is the variance. Taking the square root gives the SD of 8.5.
The measure of central tendency most affected by the 10th value of 1.5 mph is the mean. The median and mode are relatively unaffected since both involve the frequency of terms, and having a tenth term that is far below (like 1.5) will not affect it much as compared to if it was near the rest of the values (like anything below 39).
The new SD including the tenth car involves adding the deviation of (-43.5)^2 to the sum of 579, which gives 2471.25. Dividing by 9 (there are now 10 data points) and taking the square root gives the new SD of 16.6.
D. 6 1/2
Just divide 13 by 2 and you will get 6.5 or 6 1/2