You are given triangle RST with vertices R(-3,-1), S(-1,-1) and T(-4,-5).
1. Apply the rotation of 90° counterclockwise about the origin that has a rule:
(x,y)→(-y,x).
Then
- R(-3,-1)→R''(1,-3),
- S(-1,-1)→S''(1,-1),
- T(-4,-5)→T''(5,-4).
2. Second transformation is translation 1 unite up with a rule:
(x,y)→(x,y+1).
So
- R''(1,-3)→R'(1,-2);
- S''(1,-1)→S'(1,0);
- T''(5,-4)→T'(5,-3).
As you can see these points are exactly those from the task condition.
Answer: 1st transfomation is rotation of 90° counterclockwise about the origin and 2nd transformation is translation 1 unite up
Answer:
Step-by-step explanation:
A company claims that its soup vending machines deliver exactly 8 ounces of soup to every customer.
This means that the null hypothesis is that the mean is exactly 8, that is:
You do not want the vending machines to deliver too much or too little soup.
We don't want the mean to be different from 8, which means that the alternative hypothesis is given by:
Neither...
205/1000 equals .205
So they are both the same.
Hope this helps -J
9514 1404 393
Answer:
1000
Step-by-step explanation:
The pattern is the sequence of cubes. The 10th cube is ...
10³ = 10·10·10 = 1000 . . . . 10th term of the pattern
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<em>Additional comment</em>
It is helpful to memorize the squares of integers 1-20 and the cubes of integers 1-10. Being able to recognize these numbers can save you a lot of time on problems like this.
