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melomori [17]
2 years ago
15

) Three ferocious old pirates are dividing their plunder (100 gold coins) before disbanding. No single coin can be subdivided. A

ccording to pirate code, pirate number 1 P1 suggests a sharing rule (for instance if P1 suggests (34, 33, 33), under this rule P1 gets 34 coins, P2 gets 33 and P3 gets 33). All three pirates vote by roll call on the proposal. If a majority (even a tie is enough) accept, then the division is carried out and the game ends. If the suggestion is not accepted then the first pirate is thrown overboard (which is worse than getting no gold, because of the circling sharks) and P2 makes a proposal, which is subjected to majority vote, and so on. These pirates are crafty enough to perform backward induction, and so cranky that, whenever a pirate is indifferent about voting for or against a proposal, he votes against it. Explain what happens and why.
Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

Answer:

P1 bribe P3 otherwise P3 gets 100 gold coins.

Step-by-step explanation:

Under this rule

P1 gets 34 coins,

P2 gets 33 and

P3 gets 33

Two things could happen

First: P1 has to bribe P3 additional one gold coin in order to get majority votes, so that he would not be thrown overboard and be kill. Then,

P1 gets 33 coins

P2 gets 33 coins

P3 gets 34 coins

Second: if P2 reject it, P3 could be indifferent. This will lead to the death of P1. And when P2 makes suggestions, P3 rejects it. Therefore P3 gets it all. P3 gets 100 gold coin

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The quadratic function y = -10x2 + 160x - 430 models a store's daily profit (y), in dollars, for selling T-shirts priced at x do
alexdok [17]

Answer:

D,B,C,A

Step-by-step explanation:

Look at the picture

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8 0
1 year ago
In a lecture demonstration, an object is suspended from a spring scale which reads 8N when the object is in air. The object is t
katovenus [111]

Answer:

a) density of the object is 3995.01, b) the weight scale reads 22N c) the sum individually will be the same with when added together.

Step-by-step explanation:

The weight of the object in air is 8N,

and weight = Mass * acceleration due to gravity = m * 9.81

8/9.81 = 0.815,

upthrust( force acting on the body from the liquid impeding the immersion) on the body when fully submerged = weight in air - weight in water = 8N - 6N =2N

Upthrust = weight of water displaced = 2N = mass * acceleration

2/9.81 = 0.204kg

density of water(1000kg/m^3) = mass of water / volume of water

volume of water displaced = 0.204/1000 = 0.000204m^3 (204cm^3)

volume of water displaced = volume of the solid

density of solid = mass/ volume = 0.815/0.000204 = 3995.01kg/m^3

b) when fully submerge in water the the scale experience according to newton third law of motion ( equal and opposite reaction of forces) additional 2N push so that total weight with the fully submerge solid = 20N + upthrust = 20N + 2N =22N

c) the of two scale reading is before (8N + 20N = 28N) and after (6N + 22N = 28) since there is no loss of matter; the demonstration was in equilibrium.

6 0
2 years ago
Lois says any addition equation where the addends are all the same can be written as a multiplication equation. Is Lois correct
USPshnik [31]
Lois is correct. This is because multiplication is repeated addition. It means that when your addends are just the same number but added several times, the sum is just equivalent to the product of that number times the number of times it was added. For example, 4+4+4 = 4×3 = 12.
6 0
2 years ago
A park district is building an outdoor tennis court based on a scale drawing that measures 30cm long by 13.75 cm and uses the sc
Yuliya22 [10]

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

<em>Find out more at brainly.com/question/12581267.</em>

3 0
1 year ago
A geometric sequence has an initial value of 3 and a common ratio of 2. Which function(s) or formula(s) could represent this sit
olasank [31]

Answer:

The functions that represent this situation are A. f(n)=3\cdot 2^{n-1} and C. a(n)=a(n-1)\cdot 2; a(1)=3.

Step-by-step explanation:

A geometric sequence goes from one term to the next by always multiplying or dividing by the same value.

In geometric sequences, the ratio between consecutive terms is always the same. We call that ratio the common ratio.

This is the explicit formula for the geometric sequence whose first term is <em>k</em> and common ratio is<em> r:</em>

<em>                                                 </em>a(n)=k\cdot r^{n-1}<em />

This is the recursive formula of that sequence:

                                                 a(1)=k\\\\a(n)=a(n-1)\cdot r

We know that the first term is <em>k</em> = 3 and the common ratio is <em>r = </em>2. Therefore,

The explicit formula is f(n)=3\cdot 2^{n-1} and the recursive formula is a(n)=a(n-1)\cdot 2; a(1)=3.

6 0
2 years ago
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