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3 years ago

Which symbol can be used to correctly compare the two fractions 2/5 and 35/100

Mathematics

2 answers:

Kaylis [27]3 years ago

5 0

Reduce 35/100 to 7/20 by dividing both sides by 5.

2/5 is bigger than 7/20.

2/5 > 7/20 or 2/5 > 35/100 if you leave it unsimplified

Hope this helps :)

Sever21 [200]3 years ago

4 0

Remark

The first thing to do is to find the value of each fraction in decimal form. Then you can compare them.

Solution

You can get these numbers using your calculator.

2/5 = 0.40 Your calculator may say it is 0.4, but you should add the zero so that the two factions can be compared.

35/100 = 0.35

Now which one is bigger? Think money. Which would you rather have: 40 cents or 35 cents? You should answer 40 cents.

Since 40 > 35

Therefore 0.40> 0.35

And 2/5 > 35/100

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Step-by-step explanation:

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Part b

The significance level given is $\alpha=0.01$ and the degrees of freedom are given by:

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Part c

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Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

$t_{crit}=\pm 2.228$

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