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3 years ago

Explain what needs to happen to the inequality sign when dividing or multiplying by a negative number

2 answers:

6 0

When you multiply or divide by a negative, the sign of the inequality flips. For example we have this inequality:

-3x ≥ 6

We would isolate x by diving by -3

6/-3 = -2

Since we divided by a negative "-3", the sign flips from ≥ to ≤

So it would be x ≤ -2 .

Hope the example helped to understand! :)

Damm [24]3 years ago

4 0

The inequality itself needs to turn into a negative. This is because if the number is a positive, and there is only one negative involved in the problem, then the whole thing is a negative. However, when there are two positive numbers or two negative numbers involved, then the in-equation will always come out a positive.

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Answer:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=0.704$

$p_v = 2*P(t_{7} >0.704)=0.504$

So the p value is higher the significance level given 0.1, so then we can conclude that we FAIL to reject the null hypothesis that the difference mean between after and before score is equal 0. So then we don't have enough evidence to say that the score for the second exam is different than the score for the first exam.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation

x=test value before (first exam) , y = test value after (second exam)

The system of hypothesis for this case are:

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The first step is calculate the difference $d_i=y_i-x_i$

The statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=0.704$

The next step is calculate the degrees of freedom given by:

$df=n-1=8-1=7$

Now we can calculate the p value, since we have a left tailed test the p value is given by:

$p_v = 2*P(t_{7} >0.704)=0.504$

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3 years ago

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Answer:

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Step-by-step explanation:

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Hence the cost of b bagel c is $1.5b

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Answer:

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Step-by-step explanation:

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