Which of the following are correct descriptions of the compositions of earth's different internal layers?.

1 answer:

lisabon 2012 [21]2 years ago

7 0

The answer choice which is the correct description of the compositions of earth's different internal layers is:

The Crust
The Mantle
The Core

<h3>The Earth</h3>

The earth is made up of various layers and the composition of the internal layers can be classified into the crust, mantle and core.

Each different layer has distinct features and characteristics which makes them unique and are important to preserve the Earth's core.

Read more about earth's internal layers here:
brainly.com/question/2673884

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In a recent year, about 22% of Americans 18 years and older are single. What is the probability that in a random sample of 200 A

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Using the normal approximation to the binomial, it is found that there is a 0.0107 = 1.07% probability that more than 30 are single.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with $\mu = np, \sigma = \sqrt{np(1-p)}$ .

In this problem, the proportion and the sample size are, respectively, p = 0.22 and n = 200, hence:

$\mu = np = 200(0.22) = 44$

$\sigma = \sqrt{np(1 - p)} = \sqrt{200(0.22)(0.78)} = 5.8583$

The probability that more than 30 are single, using continuity correction, is P(X > 30.5), which is <u>1 subtracted by the p-value of Z when X = 30.5</u>, hence:

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

$Z = \frac{30.5 - 44}{5.8583}$