Consider a regular 10-gon in which alternate vertices are painted red and blue. Show that the...

Consider a regular 10-gon in which alternate vertices are painted red and blue. Show that the symmetry group of the painted 10-gon is
isomorphic to D5.

Expert Solution

Colby Messinger answered 2 years ago

Twelve chairs are to be painted. The available colors are Red, Blue, Green, and Yellow, and...

Twelve chairs are to be painted. The available colors are Red, Blue, Green, and Yellow, and every chair must be painted with one color. Assuming that all coloring schemes are equally likely, what is the probability that one color is not used and there are at least two chairs of every other color ? (The answer is 0.25) Can anyone explain to me why ?

Assume there Is a bag of 30 marbles where 15 are blue, 10 are red, and...

Assume there Is a bag of 30 marbles where 15 are blue, 10 are red, and 5 are black. A) How many combinations are possible to choose 10 marbles? B)How many permutations are there to choose 6 marbles where the first marble is blue? C) What is the probability of getting : blue, red, blue, black?

For a certain candy, 15% of the pieces are yellow, 10% are red, 15% are blue,...

For a certain candy, 15% of the pieces are yellow, 10% are red, 15% are blue, 20% are green, and the rest are brown. a) If you pick a piece at random, what is the probability that it is brown? it is yellow or blue? it is not green? it is striped? b) Assume you have an infinite supply of these candy pieces from which to draw. If you pick three pieces in a row, what is the probability that...

There are 10 identical red balls, 10 identical blue balls, 10 identical green balls and 2...

There are 10 identical red balls, 10 identical blue balls, 10 identical green balls and 2 distinct boxes. How many ways to place all the 30 balls in the two boxes such that each box contains 15 balls?

For a certain candy,15% of the pieces are yellow, 15% are red, 10% are blue,15% are...

For a certain candy,15% of the pieces are yellow, 15% are red, 10% are blue,15% are green, and the rest are brown. a) If you pick a piece at random, what is the probability that it is brown? it is yellow or blue? it is not green? it is striped? b) Assume you have an infinite supply of these candy pieces from which to draw. If you pick three pieces in a row, what is the probability that they are...

An urn contains 7 red and 10 blue balls. If 4 balls are to be randomly...

An urn contains 7 red and 10 blue balls. If 4 balls are to be randomly selected without replacement, what is the probability that the first 2 selected are red and the last 2 selected are blue? Explain each step ?

An urn contains 10 red and 12 blue balls. They are withdrawn one at a time...

An urn contains 10 red and 12 blue balls. They are withdrawn one at a time without replacement until a total of 4 red balls have been withdrawn. Find the probability that exactly 7 balls withdrawn/

Show example of two map region with strong warm (red) and cold (blue) advection. if possible,...

Show example of two map region with strong warm (red) and cold (blue) advection. if possible, use darker color for strong and lighter for a region.

Consider a purple urn containing 7 red marbles and 3 blue marbles as well as a...

Consider a purple urn containing 7 red marbles and 3 blue marbles as well as a green urn containing 5 blue marbles and 4 yellow marbles. An experiment consists of drawing a marble from the purple urn, placing it in the green urn, and then drawing a marble from the green urn. Given that the marble drawn from the green urn was blue, what is the probability that the marble drawn from the purple urn was red? Give your answer...

Suppose that 8 cards, of which four are red, two are green and two are blue,...

Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in 8 envelopes . Two envelops are selected at random, find the probability that the envelops have red cards? find the probability that they have cards of the same colors?

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