Two less than a number us less than nine

The sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

<h3>What is the margin of error(MOE)?</h3>

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

As we know, the sample size can be evaluated using the expression:

$\rm ME = Z_c\sqrt{\dfrac{pq}{n}}$

or

$\rm n = \dfrac{Z^2}{ME^2}(pq)$

Here ME = 1% = 0.01

p = 0.5, q = 0.5

Z at α 0.05 (because 95% confident)

= 1.960

$\rm n = \dfrac{1.960^2}{0.01^2}(0.5\times0.5)$

n = 9604

Thus, the sample size is, 9604 if you want to obtain a sample to estimate a population proportion at this point in time, you have no reasonable estimate for the population proportion.

Learn more about the Margin of error here:

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3 years ago

The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5 She gave half of her encyclope

vladimir1956 [14]

Using a system of equations, it is found that she has 9 picture books.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Number of picture books.

Variable y: Number of encyclopedias.

Variable z: Number of fairy tale books.

The ratio of the number of picture books encyclopedias, and fairy tale books Annette had is 3:4:5, hence:

$\frac{x}{y} = \frac{3}[4}, \frac{x}{z} = \frac{3}{5}, \frac{y}{z} = \frac{4}[5}$

She gave half of her encyclopedias to her brother and he gave her 5 books of fairytales. Now she has 14 more books of fairy tales than encyclopedias, hence:

z + 5 - 0.5y = 14.

z - 0.5y = 9

From the ratios, we have that:

$y = \frac{4}{3}x, z = \frac{5}{3}x$