Answer:
Option C.
Step-by-step explanation:
For a given set of N elements:
{x₁, x₂, ..., xₙ}
The mean is given by:
And the variance is given by:
Then for our set:
{70, 80 ,75, 75, 80}
We have 5 elements, then N = 5
The first thing we need to find is the mean.
Then the variance will be:
The correct option is C, 14.
Answer:
Corresponding side of AB is FE
Corresponding side of CB is DE
Corresponding side of AC is FD
Step-by-step explanation:
Given
and
See attachment for triangles
Solving (a): Corresponding side of AB
Going by the names of the triangle, the corresponding sides are:
AB and FE; CB and DE; AC and FD
Hence, the corresponding side of AB is FE
Solving (b): Corresponding side of CB
This has been solved in (a) above.
The corresponding side of CB is DE
Solving (c): Corresponding side of AC
This has been solved in (a) above.
The corresponding side of AC is FD
Solving (d): Scale factor from ABC to FED
To do this, we simply divide the lengths of corresponding sides.
The scale factor k is:
Solving (e): Length of DE
We make use of the scale factor calculated in (d) above
Solving (f): Length of FD
Using Pythagoras:
