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3 years ago

How can I solve this two step equation: 2(n+5)=-2

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

8 0

It would be n=-6 because you would first distribute it out then solve order of operations as you go

Natasha_Volkova [10]3 years ago

5 0

Answer:

n = -6

Step-by-step explanation:

Divide both sides by 2.

n + 5 = -1

Subtract 5 from both sides.

n = -1 - 5

Simplify -1 - 5 to -6.

n = -6

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The sampling distribution of the sample means has a mean that is equal to mean of the population the sample has been drawn from.

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The standard error of the means becomes the standard deviation of the sampling distribution.

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Part b) We want to find

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We need to convert to z-score.

$P(\bar X \:>\:75.9) = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: \frac{75.9 - 74}{1} ) \\ = P(z \:>\: 1.9) \\ = 0.0287$

Part c)

We want to find

$P(\bar X \: < \:71.95)$

We convert to z-score and use the normal distribution table to find the corresponding area.

$P(\bar X \: < \:71.95) = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: \frac{71.9 5- 74}{1} ) \\ = P(z \: < \: - 2.05) \\ = 0.0202$

Part d)

We want to find :

$P(73\:$

We convert to z-scores and again use the standard normal distribution table.

$P( \frac{73 - 74}{1} \:< \: z$

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