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2 years ago

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Shane and Abha earned a team badge that required their team to collect no less than 20002000 cans for recycling. Abha collected

178178 more cans than Shane did.
Write an inequality to determine the number of cans, SS, that Shane could have collected.

What is the solution set of the inequality?

1 answer:

yKpoI14uk [10]2 years ago

3 0

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling.

This means a minimum of 2000 cans are needed.

Abha collected 178 more cans than Shane did.

Let us suppose that the cans collected by Shane = S

So, Abha collected = S+178

The inequality to determine the cans Shane collected can be given by :

$S+S+178\geq 2000$

= $2S+178\geq 2000$

$2S\geq 2000-178$

$2S\geq 1822$

$S\geq 911$

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For this case we have the following info given :

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And replacing the info we got:

$(75.1 -72.1) -1.66 \sqrt{\frac{12.8^2}{35} +\frac{14.6^2}{50}}= -1.96$

$(75.1 -72.1) +1.66 \sqrt{\frac{12.8^2}{35} +\frac{14.6^2}{50}}= 7.96$

And the confidence interval would be given by:

$-1.96 \leq \mu_1 -\mu_2 \leq 7.96$

And since the confidence interval contains the value 0 we have enough evidence to conclude that we don't have significant differences between the two means at 10% of significance.

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