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2 years ago

Solve the equation for the y-value and choose whether it is a direct variation or inverse variation.

Mathematics

1 answer:

Leona [35]2 years ago

7 0

$\\ \sf\longmapsto xy=7$

Take x to right and divide

$\\ \sf\longmapsto y=\dfrac{7}{x}$

Hence

. $\\ \sf\longmapsto y\propto \dfrac{1}{x}$

Inverse variation

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21. Which number below is equivalent to 3.82 x 10-5?

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Answer:

19.10

Step-by-step explanation:

If im correct,

You subtract 10 and 5. Wich is 5. Then multiply that by 3.82.

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3 years ago

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Answer:

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2 years ago

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AleksandrR [38]

Answer:

f = 1

Step-by-step explanation:

Use the method of cross- multiplication

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3 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Orlov [11]

Answer:

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$