Ivan found the change in a scale factor. His work is shown below. What error did Ivan make?

Mathematics

2 answers:

AlladinOne [14]3 years ago

9 0

Ivan wrote the ratio incorrectly. The ratio should be written as the old length to the new length, so it should be <span>35/10</span><span>, which reduces to </span><span>7/2</span><span>. When going from larger to smaller dimensions, the change in the scale factor is a ratio that looks like an improper fraction, with a larger number in the numerator and a smaller number in the denominator.</span>

Tresset [83]3 years ago

5 0

Scale factor is:
factor = (new length) / (old length)
Ivan correctly inserted numbers and correctly divided these two numbers by 5.

There is no error in the shown picture.

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Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.