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Illusion [34]
3 years ago
10

What is the measure of the missing angle? A. 120 B. 100 C. 40 D. 80

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0
B, because 40 and 40 make 80 and 180-80=100<span />
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Answer:

x=4

Step-by-step explanation:

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Whats 326482745445-453637+938464846-3845+784657
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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
myrzilka [38]

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:

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

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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

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7 0
3 years ago
Syracuse and New York City are 240 miles apart. One car left Syracuse heading for New York City at an average of 65 mph. A secon
bazaltina [42]
Let x be the distance from Syracuse where they pass. The first car travels a distance of x in time x/65 while the second car travels a distance 240-x in time (240-x)/55. They pass at the same time after leaving their starting points so x/65=(240-x)/55.
Cross-multiplying we get: 55x=65(240-x)=15600-65x, 120x=15600, x=15600/120=130 miles.
They pass 130 miles from Syracuse.
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3 years ago
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