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Natali5045456 [20]
3 years ago
12

Help me with this pls thx

Mathematics
1 answer:
quester [9]3 years ago
6 0

Answer:

29

Step-by-step explanation:

Triangular inequalities| Each side has to be shorter than the sum of the other two, and longer than their difference. It means you're bound between 10 and 34 - excluded. Only valid values becomes 29.

Please note, 34 is exactly the sum of the two length. It means the triangle is squeezed so the third corner is in the same line as the first two

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d1i1m1o1n [39]

Answer:

<em>The calculated value z = 1.3145 < 2.326 at  0.02 level of significance</em>

<em>The null hypothesis is accepted </em>

<em>Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.</em>

Step-by-step explanation:

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

An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.

<em>The mean of the Population 'μ' = 28.0miles/gallon</em>

Given data after testing 270 cars, they found a mean MPG of 27.8. Assume the variance is known to be 6.25.

<em>The sample size 'n' = 270 </em>

<em>Mean of the sample 'x⁻' = 27.8</em>

<em>Given Population variance 'σ² = 6.25</em>

<em>The standard deviation of Population 'σ' = √6.25 = 2.5</em>

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

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<em>Alternative hypothesis :H₁: 'μ' ≠28.</em>

<em>The test statistic </em>

<em></em>Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }<em></em>

<em></em>Z = \frac{27.8-28 }{\frac{2.5}{\sqrt{270} } } = \frac{-0.2}{0.15214}<em></em>

<em>Z = -1.3145</em>

|Z| = |<em>-1.3145|= 1.3145</em>

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

<em>The tabulated value  of z-score at 0.02 level of significance = 2.326</em>

The calculated value z = 1.3145 < 2.326 at a t 0.02 level of significance

<em>The null hypothesis is accepted </em>

<em>Hence An automobile manufacturer claims that its car has a 28.0 miles/gallon (MPG) rating.</em>

<em></em>

<em></em>

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4 years ago
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Step-by-step explanation:

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2/-1 = -2

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For the next question, the slope is 4

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Hope this helped!

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