Let the constant of variation be c.
We are given that y varies inversely with 2.5x, this means that:
y = (c) / (2.5x)
This can be written as:
2.5xy = c
Now, we a re given that y = 5.6 at x = 30.
Substitute with these values in the equation to get the value of c as follows:
2.5xy = c
2.5(30)(5.6) = c
c = 420
Therefore, the equation that describes the relation is:
2.5xy = 420
The new coordinates of A'B'C' creates a triangle that is larger than ABC.
<h3>Transformation</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, reflection, rotation and dilation.</em>
If a point A(x, y) is dilated by a scale factor k, the new point is at A'(kx, ky).
Given that:
- Triangle ABC has the following coordinates: A(4 , 5), B(5 , 3), and C(2 , 3)
If it is dilated by a scale factor of 3, the new point is at:
- A'(12, 15), B'(15, 9) and C'(6, 9)
Therefore the new coordinates of A'B'C' creates a triangle that is larger than ABC.
Find out more on dilation at: brainly.com/question/10253650
Answer:
a. Identify the population of interest in this study.
- all the population of the country
b. Identify the sample for the study.
- 50 adults (the ones that were surveyed)
c. Identify the parameter of interest in the study.
- the parameter of interest is the people that believe that coffee shops are overpriced
d. Find and interpret a 95% confidence interval for the parameter of interest.
z score for a 95% confidence level = 1.96
margin of error (E) = z score x √{[0.4(1 - 0.4)] / 50} = 1.96 x 0.069282 = 0.13579
95% confidence level interval:
0.4 - 0.13579 = 0.26421
0.4 + 0.13579 = 0.53579
- 95% confidence interval (0.26421 , 0.53579)
First, you need to find what percent of students would vote for Suzy out of the original 200. To do so, divide 25/200. You get 12.5% (or 0.125). Then, multiply that percent by the 1,000 students. You will get 125 students. Hope this helps!
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