A study was done at a local zoo to find the birth weight of birds in ounces (oz) from the tropical rainforest. The results are as follows: 13,20,17,17,18,18,19,17,16,15,15,16 ,16,16,14,18,18,18 constuct a dot plot

Step-by-step explanation:

A dot plot is a graph that illustrates the information of a raw data. It is plotted in such a way that the number of plot for each number gives the frequency of the number in the raw data.

From the given question, the frequency of the weights in the data are:

13 = 1

14 = 1

15 = 2

16 = 4

17 = 3

18 = 5

19 = 1

20 = 1

Total = 18

The dot plot of the data is herewith attached to this answer.

there are lots of ways.   pick's theorem tells us if the vertices are lattice points the area a is

a = b/2 + i - 1

where b is the number of boundary lattice points and i is the number of interior lattice points.

in the figure i count b=16, i=50 so

a = 8 + 50 - 1 = 57

let's try the shoelace formula.   the area is half the sum of the cross products of the sides.  

a(-2,6)   -2(2)-6(-5) = 26

b(-5,2)   -5(-3) - 2(-2) = 19

c(-2,-3) -2(-3) - (-3)(4) = 18

d(4,-3)   4(3) - (-3)(5) = 27

e(5,3)   5(3) - 3(1) = 12

f(1,3)     1(6) - 3(-2) = 12

a(-2,6)

each of the cross products is twice the area of the triangle with the associated side and one vertex the origin. so the area of abo=26/2=13.

area = (1/2) (26 + 19 +   18 + 27 + 12 + 12) = 57

that checks!

21

step-by-step explanation:

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