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3 years ago

Math help please! Thanks so much!

Mathematics

1 answer:

suter [353]3 years ago

6 0

According do what i came up with. after 3 hours train (A) should be 150 miles out towards Smithville, while Train (B) will be 180 miles out towards Westtown. Its best to graph this out to better understand. so 330/2 = 165, so thats your half way point. use this to determine how far train (A) is from SV compared to train (B)s distance to WT. After 3 hours you can see at 180 miles out Train (B) will be crossing paths with Train (A) at 150 miles. So the answer would be 3 hours

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tiny-mole [99]

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Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

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The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

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P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

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