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sashaice [31]
3 years ago
8

A bucket contains stones and seashells. There are 30 seashells in the bucket and the ratio of stones to seashells is 4 : 3. Find

the number of stones in the bucket.
Mathematics
1 answer:
sergejj [24]3 years ago
3 0

Answer:

There should be 40 stones in the bucket

Step-by-step explanation:

4:3 = x:30

3*10 = 30

4*10 = 40

x = 40

Hopefully that helped.

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A random sample of 81 automobiles traveling on a section of an interstate showed an average speed of 60 mph. The distribution of
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Answer:

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

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Where \mu=60 and \sigma=13.5

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

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And the standard error of the mean would be:

\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5

4.1.5

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(60,13.5)  

Where \mu=60 and \sigma=13.5

And for this case we select a sample size of n= 81. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And the standard error of the mean would be:

\sigma_{\bar X} =\frac{13.5}{\sqrt{81}}= 1.5

4.1.5

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abruzzese [7]

the answer for find the lcm of 8,12 and 16 is answer a.48

 

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Second option
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