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Answer:
The length of the new segments A'B' is 20 units ⇒ answer C
Step-by-step explanation:
* <em>Lets revise the dilation</em>
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does
not change.
- The scale factor, measures how much larger or smaller the image
will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
* <em>Lets solve the problem</em>
- line segment AB whose endpoints are (1, 4) and (4, 8) is dilated by
a scale factor of 4 and centered at the origin
∵ The scale factor is 4 and it is greater than 1
- The length of the image of line segment AB will enlarged by the
scale factor 4
∴ A'B' = 4 AB
* <em>Lets find the length of AB by using the rule of the distance</em>
∵
∵ A = and B =
∵ A = (1 , 4) and B = (4 , 8)
∴ and
∵ AB =
∴ AB = 5 units
∵ A'B' = 4 AB
∴ A'B' = 4 × 5 = 20
∴ The length of the new segments A'B' is 20 units
Answer: We concluded that annual income and education level are not independent.
Step-by-step explanation:
For the given situation, the null and alternate hypothesis can be formulated as:
annual income and education level are independent.
annual income and education level are not independent.
Given, the value of test statistic is 24.32 and the critical value of test statistics is 13.32.
i.e. the test statistic value is greater than the critical value, thus we have enough evidence to reject the null hypothesis.
Therefore, we reject null hypothesis .
So , we concluded that annual income and education level are not independent.