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sweet [91]
3 years ago
9

Evaluate the expression 120n + 160,500 when n= 32. n=______

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0
120(32) + 160,500
= 3840 + 160,500
= 164,340
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The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the
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Answer:

Brand 1    Brand 2    Difference

37734       35202        2532

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32100      31950         150

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Sum of difference = 2532+ 3664+740+150 −805+  560 +390 +285 = 7516

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\text{Sample Standard deviation, s} = \sqrt{\dfrac{(x-\bar{x})^2}{n-1}}

=\sqrt{\dfrac{(2532-939.5)^2+(3664-939.5)^2+(740-939.5)^2 ...+(285-939.5)^2}{8-1}}

=1441.21

b)SD= 1441.21

c)Calculate a 99% two-sided confidence interval on the difference in mean life.

confidence level =99%

significance level =α= 0.01

Degree of freedom = n-1 = 8-1 =7

So, t_{\frac{\alpha}{2}}=3.499

Formula for confidence interval = \left( \bar{X} \pm t_{\frac{\alpha}{2}} \times \frac{s}{\sqrt{n}} \right)

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confidence interval = 939.5 \pm 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

confidence interval = 939.5 - 3.499 \times \frac{1441.21}{\sqrt{8}} \right) to  = 939.5 + 3.499 \times \frac{1441.21}{\sqrt{8}} \right)

Confidence interval −843.396\ to  2722.396

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Answer:

Yes, it will fit snugly in a 90º corner

Step-by-step explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

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