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Anastaziya [24]
2 years ago
8

I NEED HELP ASAP PLEASE

Mathematics
1 answer:
Olenka [21]2 years ago
6 0
You have to use the geometric mean of right triangles here.  Your ratio is set up like this:  \frac{3}{y} = \frac{y}{12+3}.  That gives you  y^{2} =45 and that y =3 \sqrt{5}.  To find z in the second part, use the Pythagorean Theorem.  z^{2} =(3 \sqrt{5} ) ^{2} -(3) ^{2} and z = 6.  In the third part, the student should have had the length of the hypotenuse as the denominator in the second ratio, which is 8.  So your answer there is the second one down.  In order to do that last one you need to find the hypotenuse in the triangle that has legs of 4 and 10.  Using Pythagorean's theorem we find that that length is \sqrt{116}.  Now set up your geometric mean:  \frac{4}{ \sqrt{116} }= \frac{ \sqrt{116} }{x+4}.  Cross multiply to get 4x + 16 = 116 and that 4x = 100.  Solve for x to get x = 25
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An investigator thinks that people under the age of forty have vocabularies that are different than those of people over sixty y
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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:

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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.

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APEX
Natalka [10]
The answer would be D. Conditional Statement 
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