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LenaWriter [7]
3 years ago
7

I need help with d, please let me know how you got it

Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0

You have to know a great deal more about where Q and Q' are before you can say much of anything. The problem is listed a s a middle school problem so you are likely permitted to go by the way it looks, but that is not a habit that I would continue using.

So if the triangles SQR and S'Q'R' are congruent, and if they are orientated exactly the same way which means that the distance between QQ' and RR' is a constant (and those are big ifs), then you can claim that QQ' is parallel to the other two lines. Is it the same length as the other two? Again, you obtained the other two by measurement. It looks like SQR and S'Q'R' are equilateral and if that is correct then yes they lengths are all equal. But your marker could do just about anything with this question.

If you have a person marking this, talk it over with them. I say QQ' is equal and parallel to the other two, but don't be surprised if it is wrong.

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Answer:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

Step-by-step explanation:

Information given

\bar X_{1}=14 represent the mean for sample 1 (younger)

\bar X_{2}=20 represent the mean for sample 2 (older)  

s_{1}=5 represent the sample standard deviation for 1  

s_{f}=6 represent the sample standard deviation for 2  

n_{1}=31 sample size for the group 2  

n_{2}=31 sample size for the group 2  

t would represent the statistic

System of hypothesis

We want to test if  that people under the age of forty have vocabularies that are different than those of people over sixty years of age, the system of hypothesis are:

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

The statistic is given by:

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=31+31-2=60  

Replacing the info given we got:

t=\frac{(14-20)-0}{\sqrt{\frac{5^2}{31}+\frac{6^2}{31}}}}=-4.28  

Now we can calculate the p value with the following probability:

p_v =2*P(t_{60}  

The p value is a very low value so then we have enough evidence to reject the null hypothesis and we can conclude that people under the age of forty have vocabularies that are different than those of people over sixty years of age.

6 0
3 years ago
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