1 and a 1/2 divided by 3/8
2 answers:
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Answer:
m∠DBC = 51°
Step-by-step explanation:
<u>Circle Theorem vocabulary</u>
- Chord: A straight line joining two points on the circle.
- Inscribed angle: The angle formed when two chords meet at one point on a circle.
- Intercepted arc: The arc that is between the endpoints of the chords that form the inscribed angle.
<u>Inscribed Angle Theorem</u>
The measure of an <u>inscribed angle</u> is half the measure of the <u>intercepted arc</u>.
Therefore:
Learn more about the Inscribed Angle Theorem here:
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.