The following data show the number of cars passing through a toll booth during a certain time period over 15 days. 18 19 17 17 2
4 18 21 18 19 15 22 19 23 17 21 Identify the corresponding dotplot.
1 answer:
Answer: <em>third from the top</em>
Step-by-step explanation:
<em>The correct answer is third from the top.</em>
<em>Arranging numbers in ascending order: </em>
<em>15 17 17 17 18 18 18 19 19 19 21 21 22 23 24</em>
<em>Let's count how many times each number occurs in this series of numbers.</em>
<em>row of numbers</em>
<em>15 </em>+
<em>16 not</em>
<em>17 </em>+ + +
<em>18 </em>+ + +
<em>19 </em>+ + +
<em>20 not</em>
<em>21 </em>+ +
<em>22 </em>+
<em>23 </em>+
<em>24 </em>+
<em>25 not</em>
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Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
<em>What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.</em>
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
(Eq. 1)
Where:
- Reference point with respect to origin, dimensionless.
- Original point with respect to origin, dimensionless.
- Dilation factor, dimensionless.
If we know that ,
and
, then the coordinates of the image of the original point is:
The image of the point (1, -2) under a dilation of 3 is (3, -6).