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ss7ja [257]
3 years ago
7

You have two fair, six-sides dice. However, the dice have been modified so that instead or 1,2,3,4,5,6 the sides are numbered 1,

2,2,2,3,4. (Write all answers as fractions, not decimals) When the two dice are thrown, what is the probability their total is 4
Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

30.56%

Step-by-step explanation:

Let the sides on each dice be labeled as 1, 2a, 2b, 2c, 3, 4.

The sample space for the sum of the values being 4 is:

S={1,3; 3,1; 2a,2a; 2a,2b; 2a,2c; 2b,2a; 2b,2b; 2b,2c; 2c,2a; 2c,2b; 2c,2c}

There are 11 possible sums out of the 36 possible outcomes that result in a sum of 4. Therefore, the probability their total is 4 is:

P(S) =\frac{11}{36}=0.3056 =30.56\%

There is a 30.56% probability that their sum is 4.

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X-23 / x^2 -x- 20 - 2/5-x
alexira [117]

By simplifying \[x - \frac{{23}}{{{x^2}}} - x - 20 - \frac{2}{5} - x\] . This will result in a simplified version of  \[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\].

The Simplifying Algorithm is a wonderful way to simplify complex mathematics problems. It can be used to solve equations, convert fractions to decimals, and perform many other math operations. In this problem, the Simplifying Algorithm will help you reduce \[x - \frac{{23}}{{{x^2}}} - x - 20 - \frac{2}{5} - x\]

Since two opposites add up to 0, remove them from the expression.

\[ - \frac{{23}}{{{x^2}}} - \frac{{102}}{5} - x\]

Write all numerators above the least common denominator 5x2

\[ - \frac{{115 + 102{x^2} + 5{x^3}}}{{5{x^2}}}\]

Use the commutative property to reorder the terms so that constants on the left

\[\frac{{ - 5{x^3} - 115 - 102{x^2}}}{{5{x^2}}}\]

Rearrange the terms

\[\frac{{ - 5{x^3} - 102{x^2} - 115}}{{5{x^2}}}\]

By reording the terms

\[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\]

Hence, by simplifying this equation, divide both numerator and denominator. This will result in a simplified version of  \[ - \frac{{5{x^3} + 102{x^2} + 115}}{{5{x^2}}}\].

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1 year ago
What is the simplified equation of 9(x+3)-(2x+5)?
Zanzabum

Answer:

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Step-by-step explanation:

9(x+3)-(2x+5)

9x+3 -2x -5

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