Point 7,2 is translated vertically 2 units and horizontally -5 units. Where is the new point located?
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Answer:
166 square units
Step-by-step explanation:
Let’s find the area of the shapes that in the net.
First, we can see two of the triangles have a base of 2 and a height of 13. The formula for surface area of a triangle is bh÷2. (13x2)÷2=13. Since there are two triangles, we multiply 13 by 2 and get <u><em>26</em></u>.
Second, we can see two of the triangles have a base of 10 and a height of 12. (10x12)÷2=<u>60.</u> Since there are two triangles, we multiply 60 by 2 and get <u>120</u>.
Third, we can see a rectangle has a base of 10 and a height of 2. The formula for surface area of a rectangle is bh. 10x2=<u>20</u>.
Last, we add up all the areas:
20+120+26=166.
The reasonable conclusion is that the randomization distribution provides strong evidence that the difference in the means for the two treatments group is due to the treatment because the difference is highly unlikely based on random assignment error.
<h3>How to explain the information?</h3>
Given the mean for the first group is 43.16 gallons of gas and that the mean for the second group 54.63 gallons of gas. The difference in the means for the two groups is - 11.47 gallons of gas.
Here, the data for both groups are combined and redistributed at random into two groups of 20. The histogram shows that the distribution is approximately symmetric. Therefore, the randomization technique can be used.
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