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grigory [225]
3 years ago
13

I have 6 vertices and 9 edges how many faces?

Mathematics
2 answers:
wariber [46]3 years ago
7 0
Its a polyhedron its has 25 faces
den301095 [7]3 years ago
4 0
A polyhedron which has 5 faces. 

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In the expansion of
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By the binomial theorem, the x^2 term in the expansion of \left(1-\frac x4\right)^n is

\dbinom n21^{n-2}\left(-\dfracx4\right)^2=\dfrac{n!}{2!(n-2)!}\dfrac{x^2}{16}

which suggests that the contribution of the binomial coefficient should make up the remaining factor of 21. That is,

\dfrac{n!}{2!(n-2)!}=\dfrac{n(n-1)}2=21\implies n=7

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Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

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

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

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

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
4 years ago
Hello!
tankabanditka [31]

Answer:

2520

Step-by-step explanation:

LCM(4, 7, 8, 9, 10, 12) = 2520

5 0
3 years ago
Read 2 more answers
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