Answer:
5 and 12
Step-by-step explanation:
The mode of a data set is the entry which occurs most often
Given
5, 10, 12, 4, 6, 11, 12, 5
5 and 12 both occur twice, thus there are 2 modes 5 and 12
Answer:
The equation of the required line is: 2x + y = 8
Step-by-step explanation:
When a point on the line and the slope of the line are given, we use the slope - one - point form to determine the equation of the line.
Say,
is the point passing through the line and the slope of the line is say,
. Then the equation would be:

Here
and slope,
.
Therefore, the equation of the line becomes:


Rearranging we get:
which is the required equation of the line.
Answer:
(2/3)^8
Step-by-step explanation:
Note that 2^8 = 256, and that 3^8 = 6561.
Then 256/6561 = (2/3)^8
Answer:
The surface area is
Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}(b)(l)]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28l%29%5D)
where

-----> the slant height
substitute the values
![SA=10^{2}+4[\frac{1}{2}(10)(14)]](https://tex.z-dn.net/?f=SA%3D10%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%2810%29%2814%29%5D)
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