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muminat
2 years ago
9

A group of vacationing gamblers were asked which casino games they had played to date. 5 gamblers said they played blackjack, ro

ulette, and poker. • 8 gamblers said they played roulette and poker. • 11 gamblers said they played blackjack and roulette. • 12 gamblers said they only played poker. 24 gamblers said they played poker. How many gamblers played exactly two games?
Mathematics
1 answer:
leonid [27]2 years ago
7 0

Answer: There are 13 gamblers who played exactly two games.

Step-by-step explanation:

Since we have given that

Number of gamblers played black jack, roulette and poker = 5

Number of gamblers played roulette and poker = 8

Number of gamblers played black jack and roulette = 11

Number of gamblers played only poker = 12

Number of gamblers played poker = 24

Number of gamblers who played only roulette and poker is given by

8-5=3

Number of gamblers who played only black jack and roulette is given by

11-5=6

Number of gamblers who played only poker and black jack is given by

24-(12+3+5)\\\\=24-20\\\\=4

So, the number of gamblers who played exactly two games is given by

3+6+4=13

Hence, there are 13 gamblers who played exactly two games.

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The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system hav
vagabundo [1.1K]

Answer:

A. Infinitely many solutions.

Step-by-step explanation:

The row and column numbers are equal in the echelon. This rows have 0001 numbers which indicates that there is free variable at the end. The reduced row echelon has equal number of rows and columns. There are infinitely many solution as the numbers in the rows are zero ending of the free variable 1. If there is no free variable then there will be no solution.

8 0
3 years ago
One zero of x3 – 3x2 – 6x + 8 = 0 is -2. What are the other zeros of the function?
hram777 [196]
Consider this solution, if it is possible, check the result:
1) if to divide polynomial 'x³-3x²-6x+8' on 'x+2' result is: x²-5x+4, then x³-3x²-6x+8=(x+2)(x²-5x+4);
2) x²-5x+4=(x-1)(x-4), then
3) x³-3x²-6x+8=(x+2)(x-1)(x-4).
4) zeros are: -2;1;4. Other zeros are: 1 and 4.
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3 years ago
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2 years ago
The sum of 3 times the value of x and 2 is equal to four less than five times the value of x. Which equation can be used to find
bonufazy [111]

The question has omitted  options but i will solve, so you will just check my answer from the options you have.

Answer: The equation  to find the value of x = 3x+ 2= 5x-4

The value of x= 3

Step-by-step explanation:

Step 1

The sum of 3 times the value of x and 2 is equal to four less than five times the value of x can be expressed as

3x+ 2= 5x-4

Step 2

Solving this equation  to find the value of x , we have that

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3 years ago
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Answer:

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Step-by-step explanation:

This question can be solved using a rule of three.

Each minute of washing costs 7 liters.

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1 minute - 7 liters

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Percy used 77 liters to wash

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3 years ago
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