If a translation maps ∠I onto ∠K, which of the following statements is true?
1 answer:
The statement which is true is ΔGHI ~ ΔGJK.
<h3>What is Translation?</h3>This is commonly used in geometry to describe a function which moves object at distances.
This therefore means that translation of ∠I onto ∠K means shifting of point I to point K.
The triangles given are HGI and JGK.
Translation in this scenario therefore means that the triangles are similar only if other angles are mapped to their corresponding angles.
It confirms that ΔGHI ~ ΔGJK thereby making it the most appropriate choice.
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Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is = 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:
Using the Z test statistics which can be expressed by the formula:
Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.