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elena-s [515]
3 years ago
8

A triangle has a perimeter of 18 inches. If one side has length 8 inches, find the length of the shortest side if the other leng

ths are in the ratio of 2 units : 3 units.
Mathematics
1 answer:
aalyn [17]3 years ago
8 0
a,b,c-\ sides\ of\ triangle\\\\a+b+c=18\ inches\\\\a=8inch\\\\\frac{b}{c}=\frac{2}{3}\\\\3b=2c\ \ --->b=\frac{2c}{3}\\\\8+\frac{2c}{3}+c=18\ |*3\\\\24+2c+3c=54\\\\5c=54-24\\\\5c=30\\\\c=\frac{30}{5}=6\\\\Length\ of\ shorter\ side\ is\ equal\ to\ 6\ inches.
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anzhelika [568]

Answer:

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this problem, we have that:

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So

\mu = 0.82

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.82*0.18}{225}} = 0.0256

The mean of the sampling distribution of the sample proportions is 0.82 and the standard deviation is 0.0256.

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3 years ago
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Charra [1.4K]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.

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Answer:

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