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lidiya [134]
3 years ago
14

Please help meeeeeeeeeeeeëeeeeeeeeeeeeeeeeèeeeeeeeeeeeeêeeeeeeeeeeeeęeeeeeeeeeeeeeeeeeeeeeeeeeeeéeeeeeeeeeeeeêeeeeeee

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Hello!

to find b, let's subtract the squares of the hypotenuse and leg a to find b. We will then find the square root of our answer.

169-144=25

√25=5

Therefore, b=5

I hope this helps!

Lady_Fox [76]3 years ago
5 0

The pythogrean theorem is a^2+b^2=c^2

"a" and "b" are the legs, and "c" is the hypotenuse.

so 12^2+b^2=13^2

144+b^2=169, subract 144 from both sides.

b^2 = 25, take the square root from both sides.

Hence b=5

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Answer:

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The p value for this case would be given with this probability:

p_v =P(z  

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Step-by-step explanation:

Information given

\bar X=242.5 represent the sample mean      

\sigma=5 represent the population deviation

n=100 sample size      

\mu_o =25 represent the value to check

\alpha=0.01 represent the significance level

z would represent the statistic  

p_v represent the p value

Hypotheis to test

We want to verify if the true mean is less than 25 min, the system of hypothesis would be:      

Null hypothesis:\mu \geq 25      

Alternative hypothesis:\mu < 25      

The statistic would be given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)      

And replacing the info given we got:

z=\frac{24.25-25}{\frac{5}{\sqrt{100}}}=-1.5      

The p value for this case would be given with this probability:

p_v =P(z  

For this case since the p value is higher than the significance level of 0.01 we have enough evidence to fail to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is significantly less than 25 min.

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