Find the prime factorization of 2,520

write an equation in slope intercept form of the line that passes through (3,1) and has a y-intercept of-2

attashe74 [19]

your answer would be y = 1/5x -2

3 0

2 years ago

Please help i don’t know the middle one

Gnom [1K]

Answer:

Step-by-step explanation:

A new study suggests that waiting at least an hour after dinner before going to sleep reduces your risk of stroke by about two-thirds.

And for every 20 minutes more that you wait, stroke risk drops another 10%, says researcher Cristina-Maria Kastorini, MSc, a nutritionist at the University of Ioannina Medical School in Greece.

The study does not prove cause and effect -- only that there seems to be an association between waiting an hour or more between dinner and bedtime and reduced stroke risk.

Results of the 1,000-patient study were presented here at the European Society of Cardiology Congress 2011.

5 0

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 $s = \sqrt{\frac{p(1-p)}{n}}$