geno3141

The usual methods to find the average are:  mean, median, and mode.

The range is not a method to find the average.

If you are specifically asked to find the mode, do so; otherwise do not use the mode to find the average.

Use the mean unless there is an outlier which will strongly influence the mean; if there is that kind of outlier, use the median.

For this data set is there an outlier (a number that is very, very much larger or smaller than the rest of the data)?

If there is, use the median, if not use the mean.

Range is not a measure of center, so this choice is eliminated.

Of the three measures of central tendency, choose the mean, unless you have a good reason not to.

For instance, if there is an outlier, a number so large or so small that it distorts the mean, the median might be a better choice. In this case, there is no such outlier. I have no reason to ever choose the mode, except that it is the easiest to find (there could be a bimodal set of data, but that's a different, more involved, story). 

In this case, the median is 4, the mode is 4, and the mean is 3.89. The mean shows that the "average" is slightly less than 4, a good description.

"three times a number"   --->   3x

sum   --->   +

--->   3x + 4  =  19

--->          3x  =  15                       (subtract 4 from both sides)

--->            x  =  5                         (divide both sides by 3)

500000 = x(1.13)⁹   --->       x(1.13)⁹  =  500000

Dividing both sides by 1.13⁹   --->   x  =  500000/1.13⁹  =  166 442 .42  (approx)

The rectangle on the left is 6 cm x 2 cm   --->   Area  =  12 cm²

The long rectangle is 3 cm x 10 cm          --->   Area  =  30 cm²

The next rectangle is 6 cm x 2 cm            --->   Area  =  12 cm²

The rectangle on the right is 6 cm x 3 cm  --->   Area  =  18 cm²

If you add these together, you will get the total surface area ...

The formula for slope:  m  =  (y2 - y1) / (x2 - x1)

(x1, y1) = (-2, 4)   --->   x1 = -2  and  y1 = 4

(x2, y2) = (2, -2)   --->   x2 = 2  and  y2 = -2

m  =  (y2 - y1) / (x2 - x1)     --->    m  =  (-2 - 4) / (2 - -2)  =  -6 / 4  =  -3/2

The two smaller sides, when added together, cannot be longer than the longest side.

100 + 65 > 160    <--- OK

100 + 65 = 165    <--- Not OK, the sum must be larger ...

100 + 65 < 170    <--- Not OK, the sum must be larger ...

100 + 65 < 175    <---  Not OK, the sum must be larger ...

You can find the perimeter of a triangle by using this formula:  P  =  2L + 2W

If the length is 5 cm more than twice the width, you have the equation:  L = 5 + 2W

Substituting 5 + 2W for L into the first equation:  P  = 2(5 + 2W) + 2W

Since P = 34                                                    34  =  2(5 + 2W) + 2W

                                                                      34  =  10 + 4W + 2W

                                                                      34  =  10 + 6W

                                                                      24  =  6W

                                                                        4  =  W

If W = 4, the L = 5 + 2W   --->   L  =  5 + 2(4)  =  13 

The only triangle that you can make from side DE, angle E, and side EF is the triangle shown.

The modulo is the remainder when you have whole number division.

Read Melody's answer ....