Answer:
The standard deviation of the data set is
.
Step-by-step explanation:
The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)
To find the standard deviation of the following data set

we use the following formula

Step 1: Find the mean
.
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:


Step 2: Create the below table.
Step 3: Find the sum of numbers in the last column to get.

Step 4: Calculate σ using the above formula.

Answer:
a 270° rotation about point P
Step-by-step explanation:
Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.
Therefore the transformation composition that maps
to
K"L"M",
So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.
While the transformation of the second would be down translation that goes to the right.
hence, the last option is correct
D 7
A million apologies if I’m wrong half of my brain is still on vacation!
The volume of a rectangular prism:

substitute

The volume of a cylinder:

substitute:

Answer: C. The cylinder has the greater volume.