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12345 [234]
3 years ago
10

A polyhedron has 24 edges and 12 vertices. how many faces does it have​

Mathematics
1 answer:
Georgia [21]3 years ago
5 0

ANSWER

14 faces

EXPLANATION

The relation between the number of faces, the number of vertices and the number of edges a polyhedron has is given by the formula,

F+V=E+2.

It was given that, the number of edges is

E=24 and the number of vertices is

V=12.

We substitute the values into the formula to find F, the number of faces.

F+12=24+2

Group similar terms,

F=24+2-12

F=14.

Hence the polyhedron has 14 faces.

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The following distribution shows the frequency of daily revenue for an Italian restaurant in Wilmington, Delaware. Revenue Frequ
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Answer:

The probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

Step-by-step explanation:

The frequency distribution of daily revenue for an Italian restaurant in Wilmington, Delaware is:

     <u>Revenue</u>      <u>Frequency</u>

   Under $2,000        18

$2,000 -  $4,000      10

$4,000 -  $6,000     26

$6,000 -  $8,000      14

$8,000 - $10,000       8

   Over $10,000           4

          Total                 80

The probability of an event <em>E</em> is defined as:

P(E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcome

N = total outcomes

The favorable outcomes of the event <em>X</em> : "more than $6,000 in revenue" is defined as:

n (X) = 14 + 8 + 4 = 26

Total number of outcomes is, <em>N</em> = 80.

Compute the probability of the event <em>X</em> is:

P(X)=\frac{n(X)}{N}=\frac{26}{80}=0.325

Thus, the probability that a randomly selected day will generate more than $6,000 in revenue is 0.325.

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Step-by-step explanation:

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