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Anastaziya [24]
3 years ago
9

Construct a truth table for (p ˄ ⌐q) ↔ (p ˄ q). Explain how this truth table shows whether this statement is a tautology, and co

ntradiction (absurdity), or a contingency.

Mathematics
1 answer:
lara [203]3 years ago
4 0

It's contingency, because for some values of p and q it's true, and for the other values, it's false.

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Two semicircles are attached to the sides of a rectangle as shown.
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The area of the shape is the sum of three sections

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State the hypothesis and claim:
vekshin1

Answer:

<em>Null Hypothesis</em>: H₀ : μ < 214 miles

<em>Alternative Hypothesis :H₁</em>: μ> 214 miles

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the size of the sample 'n' = 12

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The standard deviation of the sample = 42 miles

Level of significance = 0.01

<u><em>Step(ii):-</em></u>

Null Hypothesis: H₀ : μ < 214 miles

Alternative Hypothesis :H₁: μ> 214 miles

Test statistic

             t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }

             t = \frac{198 -214}{\frac{42}{\sqrt{12} } }

          |t| = |- 1.319| = 1.319

Degrees of freedom   = n-1 = 12 -1 =11

critical value  t_{(0.005 , 11)} =   3.4966

The calculated value |t| = 1.319 < 3.4966 at 0.01 level of significance

Null hypothesis is accepted

The average daily travel distance is less than 214 miles

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