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bekas [8.4K]
3 years ago
7

Solve by quadratic formula: (on your resource page)

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
3 0
A. <span>x=<span><span>​8</span>​<span>​<span>−3+<span>√<span><span>​<span>137/</span></span>​<span>​​</span></span></span></span></span><span>​​</span></span><span><span>​8</span>​<span>​<span>−3−<span>√<span><span>​<span>137</span></span>​<span>​​</span></span></span></span></span><span>​​/8
B.</span></span></span>
<span>x=<span><span>​4</span>​<span>​<span>−7+<span>√<span><span>​<span>97</span></span>​<span>​​</span></span></span></span></span><span>​​</span></span>,<span><span>/4</span>​<span>​<span>,−7−<span>√<span><span>​<span>97/4
hope this helps
</span></span>​<span>​​</span></span></span></span></span><span>​​</span></span></span>
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Answer:

0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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\mu = 48564, \sigma = 3293, n = 281, s = \frac{3293}{\sqrt{281}} = 196.44

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Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{48101 - 48564}{196.44}

Z = -2.36

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0.0091 = 0.91% probability that the sample mean would be less than 48,101 miles in a sample of 281 tires if the manager is correct

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