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dangina [55]
3 years ago
12

the autopilot feature on a ship is designed to maintain a set speed if the ship's are actual speed never varies by more than fiv

e knots what is the difference between the maximum and minimum speed for the ship when autopilot is used?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0
10 knots. 5 knots above and 5 knots below are added to equal 10 knots.
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What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)
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A.

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You spend 2 1/2 hours online. You spend 1/5 of that time writing a blog. How long do you spend writing your blog?
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Convert 3500 meters into yards. Round your answer to the nearest whole number.​
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The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees. If we want to be 90% c
siniylev [52]

Answer:

19 beers must be sampled.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.9}{2} = 0.05

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.05 = 0.95, so Z = 1.645.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

The population standard deviation for the temperature of beers found in Scooter's Tavern is 0.26 degrees.

This means that \sigma = 0.26

If we want to be 90% confident that the sample mean beer temperature is within 0.1 degrees of the true mean temperature, how many beers must we sample?

This is n for which M = 0.1. So

M = z\frac{\sigma}{\sqrt{n}}

0.1 = 1.645\frac{0.26}{\sqrt{n}}

0.1\sqrt{n} = 1.645*0.26

\sqrt{n} = \frac{1.645*0.26}{0.1}

(\sqrt{n})^2 = (\frac{1.645*0.26}{0.1})^2

n = 18.3

Rounding up:

19 beers must be sampled.

7 0
3 years ago
The dot plot shows how many cats are owned by each person in a neighborhood:
REY [17]

If we plot the data on the graph, we can see that the data is skewed to the right (positive skew) and there is an outlier. In skewed data and presence of outlier, the median is most commonly used measure of central tendency. This is because a positive skew would result in a positive bias to the mean. Meaning that it would be a lot larger than the median and not really representing the actual central tendency. The median however is less affected by the skew and outliers.

Answer: Median, because the data are skewed and there is an outlier

 

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