After 6 points have been added to every score in a sample, the mean is found to be M = 70 and the standard deviation is s = 13. What were the values for the mean and standard deviation for the original sample?

original mean = 64

Original standard deviation = 13

Step-by-step explanation:

M = 70

X = original mean

After adding 6 to each score;

X + 6 = 70

X = 70 - 6

X = 64

Standard deviation will remain unchanged because, standard deviation refers to the distance from the mean of a distribution.

However, since the 6 point was added to every score in the sample, the distance from the mean will remain the same even though the mean value has changed.

Therefore, original standard deviation is 13.

The perimeter of a regular hexagon is the sum of its six sides. But since the hexagon is regular, the sides are all the same length, so the sum of the sides is actually six times the length of one side.

Using the given side FK, we can observe that F and K have the same y coordinate, so their distance is the absolute value of the difference of their x coordinates:

So, this hexagon has side 3 and perimeter