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hodyreva [135]
3 years ago
13

If the length of a rectangular television screen is 20 inches and its height is 15 inches,

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0
Use the Pythagorean theorem: 

<span>C = √[a^2 + b^2] </span>
<span>C = √[(20^2 + 15^2] </span>
<span>C =√[400 + 225] </span>
<span>C = √(625) </span>
<span>C = 25 inches </span>

Answer: 3.25 inches <span>✔️</span>
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△ABC has a&gt;b&gt;c. If one of the angles in the triangle is 60°, name the angle that can be equal to 90°.
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Answer:

Z = -1.333

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Decision Rule: Reject H_o if ∝  is greater than the P-value

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Step-by-step explanation:

Given that:

The sample size of the poll = 1068

The proportion of voters that preferred Democratic candidate is \hat p = 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:

H_o : p \geq 0.50

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Using the Z test statistics which can be expressed by the formula:

Z = \dfrac{\hat p - p}{\dfrac{\sqrt{p(1-p) }}{n}}}

Z = \dfrac{0.48 - 0.5}{\dfrac{\sqrt{0.5(1-0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.5(0.5) }}{1068}}}

Z = \dfrac{-0.02}{\sqrt{\dfrac{{0.25}}{1068}}}

Z = \dfrac{-0.02}{0.015}

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 H_o 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.

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2 years ago
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