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77julia77 [94]
3 years ago
15

Use Euler's Formula to find the missing number.Faces: 20Edges: 30Vertices:​

Mathematics
1 answer:
adoni [48]3 years ago
7 0

Answer:

V=12

Step-by-step explanation:

Faces: 20 Edges: 30

Write the Euler's formula for 3-dimensional figures

F+V=E+2

Substitute some variables for their known values

20+V=30+2

Add the numbers on the right side of the equation

20+v=32

Subtract 20 on both sides

20-20+V=32-20

Subtract

V=32-20

Number of Vertices

V=12

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A = l × w

Hence, the most appropriate measurements Patrick should provide are the length and the width of the section of his living room he wants to cover.

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3 years ago
Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
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Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

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And we can solve the problem using the z score on this case given by:

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

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

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Answer:

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Step-by-step explanation:

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Answer:n 80

j

Step-by-step explanation:

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Answer: 39

Step-by-step explanation:

156/4

4 payments

Total 156

So divide that and you will get 39

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