Which number line shows the solution to x<-3

Mathematics

2 answers:

vodomira [7]3 years ago

6 0

Line 1 as filled in curcle means smaller/bigger or equal to

Sonbull [250]3 years ago

4 0

<u><em>Answer: First graph x<-3.</em></u>

Step-by-step explanation:

An inequality is a statement that compares mathematical expressions that are not equal. A variable is a letter or symbol used to represent an unknown quantity. The arrow points to the left. The circle is open. It's going to be not shade it in.

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"is it appropriate to use the normal approximation for the sampling distribution of"

Katyanochek1 [597]

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Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.

1. Binomial distribution: Let the sampling distribution be the binomial distribution $B(n,p)$ , where $n$ is the number of trials and $p$ is the probability of success. It can be approximated by the Normal distribution with the mean of $np$ and the variance of $np(1-p)$ , denoted by $N(np,np(1-p))$ if the following condition is met:

$n>9\left(\frac{1-p}{p}\right)\text{ and } n>9\left(\frac{p}{1-p}\right)$

2. Poisson distribution: Let the sampling distribution be the Poisson distribution $P(\lambda)$ where $\lambda$ is its mean. It can be approximated by the Normal distribution with the mean $\lambda$ and the variance $\lambda$ , denoted by $N(\lambda,\lambda)$ when $\lambda$ is large enough, say $\lambda>1000$ (however, different sources may give different lower value for $\lambda$ but the greater it is, the better the approximation).