Answer:
The correct answer is a) Mean =13173.6; median is 12765 no mode ; The median is the best choice because it is not skewed by the high outlier.
Step-by-step explanation:
Step 1
Arrange the data starting from the smallest to the biggest value. The arranged values are listed here as 11850, 12700,12765,13075,15478.
Step 2
Read the median and determine the mode in this data set.
The median is the value in the center which is 12765. Since every value only appears once, there is no mode for this data set.
Step 3
Calculate the mean of this data set. The mean is calculated by adding up all the values and dividing by the number of distance data available. In this case the data has 5 values, we will divide by 5. This calculation is shown below,

The mean for the data set is 13173.6
Step 4
The best measure of central tendency for this data is the median because it is not skewed by the high outlier. The mean is bigger than 4 of the data points and is skewed by the biggest distance.
Answer:
Part a) 
Part b) 
Part c) 
Part d) 
Part e) 
Part f) 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.
The centroid is located two thirds of the distance from any vertex of the triangle
Part a) Find ML
we have

we know that

substitute the given value


Part b) Find HM
we have

we know that

substitute the given value


Part c) Find JM
we have

we know that

substitute the given value


Part d) Find MI
we have

we know that

substitute the given value


Part e) Find GM
we have

we know that

substitute the given value


Part f) Find MK
we have

we know that

substitute the given value


Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠W as the reference angle,
WX represents the adjacent side of the right angle triangle.
XY represents the opposite side of the right angle triangle.
To determine WY, we would apply the Sine trigonometric ratio
Sin θ = opposite side/hypotenuse. Therefore,
Sin 36 = 5/WY
WY = 5/Sin36 = 5/0.5878
WY = 8.5 to the nearest tenth
Answer:
The general rule is 
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The general rule of an arithmetic sequence is given by:

In which
is the first term and d is the common difference.
We can also find the nth term as a function of a term m, using:

a3 = -12 and a8 = -37
First we find the common difference. So






So

Finding the first term:

Since 



So the general rule is:

