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Anastaziya [24]
3 years ago
5

Simplified 2(x + 8) + 3(x -9)

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

5x - 11

Step-by-step explanation:

Step 1: Write out expression

2(x + 8) + 3(x - 9)

Step 2: Distribute

2x + 16 + 3x - 27

Step 3: Combine like terms (x)

5x + 16 - 27

Step 4: Combine like terms (constants)

5x - 11

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Nookie1986 [14]

Answer:

x = 5

Step-by-step explanation:

set JN and NL equal to each other...

14x – 17 = 3x + 38

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x = 5

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3 years ago
In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the
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:

p = 0.82, n = 225.

So

\mu = 0.82

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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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