A 20 foot rope is cut so that one piece is 5 feet longer than the other. Find the length of each piece

Mathematics

1 answer:

hammer [34]3 years ago

5 0

Let one piece of the rope be x

Let the other piece of rope be x + 5

These two pieces put together will make 20 feet.

So we say:

x + (x +5) = 20

What is x? We expand the equation.

x + x + 5 = 20

x + x = 20 - 5

2x = 15

x = 7.5

The shorter piece is therefore 7.5 feet.

The longer piece is 7.5 + 5 = 12.5 feet.

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1) Fail to reject the Null hypothesis

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Step-by-step explanation:

A university administrator wants to test if there is a difference between the distance men and women travel to class from their current residence. So, the hypothesis would be:

$H_{o}: \mu_{F}-\mu_{M}=0\\\\ H_{a}: \mu_{F}-\mu_{M}\neq 0$

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p-value = 0.305

Degrees of freedom = df = 21

Based on this data we need to draw a conclusion about test. The significance level is not given, but the normally used levels of significance are 0.001, 0.005, 0.01 and 0.05

The rule of the thumb is:

If p-value is equal to or less than the significance level, then we reject the null hypothesis
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No matter which significance level is used from the above mentioned significance levels, p-value will always be larger than it. Therefore, we fail to reject the null hypothesis.

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We do not have sufficient evidence to support the claim that the mean distance students traveled to school from their current residence was different for males and females.

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