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motikmotik
2 years ago
15

In a game of chance, two pyramid-shaped, four-sided dice (with sides 1, 2, 3, 4). one colored red and the other colored green, a

re rolled and their individual totals are added. If the sum of the 2 four-sided dice exceeds 5 (result from red die + result from green die > 5), the roller wins. If the sum is 5 or less, the roller loses. What is the probability of winning on a single play?
Mathematics
1 answer:
Soloha48 [4]2 years ago
5 0

Answer:

0.25 or 25%

Step-by-step explanation:

There are 4 possible outcomes for each die, which gives us 16 possible combinations (4 x 4). In order for the sum to exceed 5, the possible outcomes are:

Red = 3, and Green = 3

Red = 3, and Green = 4

Red = 4, and Green = 3

Red = 4, and Green = 4

Therefore, the probability of winning on a single play is:

P=\frac{4}{16}\\P=0.25

The probability is 0.25 or 25%.

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Answer:

x<=4, put the closed circle on "4" with the arrow going all the way left

3 0
3 years ago
Find all solutions of the given system of equations (If the system is infinite many solution, express your answer in terms of x)
lisov135 [29]

Answer:

(a) The system of the equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. has no solution.

(b) The system of the equations \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. has many solutions y=\frac{2x}{3}-\frac{5}{3}

Step-by-step explanation:

(a) To find the solutions of the following system of equations \left \{ {2x-3y\:=3} \atop {4x-6y\:=3}} \right. you must:

Multiply 2x-3y=3 by 2:

\begin{bmatrix}4x-6y=6\\ 4x-6y=3\end{bmatrix}

Subtract the equations

4x-6y=3\\-\\4x-6y=6\\------\\0=-3

0 = -3 is false, therefore the system of the equations has no solution.

(b) To find the solutions of the system \left \{ {4x-6y\:=10} \atop {16x-24y\:=40}} \right. you must:

Isolate x for 4x-6y=10

x=\frac{5+3y}{2}

Substitute x=\frac{5+3y}{2} into the second equation

16\cdot \frac{5+3y}{2}-24y=40\\8\left(3y+5\right)-24y=40\\24y+40-24y=40\\40=40

The system has many solutions.

Isolate y for 4x-6y=10

y=\frac{2x}{3}-\frac{5}{3}

3 0
2 years ago
F(x) =x2-17x+60 how to find the zeros of the function​
sergiy2304 [10]

Answer:

x = 1&16

Step-by-step explanation:

f(x) = 0 then

0 =x^2 - 17x + 16

(x-1)(x-16) =0

x -1 =0 or x-16=0

x =1 & x = 16

3 0
3 years ago
Read 2 more answers
Mr. Lawrence used 100 tiles when he put a new floor in the kitchen 34 tiles are squares and 16 tiles are rectangles write the to
Oliga [24]
<h3>Fraction of square tiles  = (\frac{4}{25})   = 0.16</h3><h3>Fraction of rectangle tiles  = (\frac{17}{50})   = 0.34</h3>

Step-by-step explanation:

Total number of tiles to be used in the kitchen = 100

The total number of square tiles  = 34

The total number of rectangle tiles  =  16

Now, calculating the total fraction of square tiles:

The fraction of square tiles  = \frac{\textrm{Total number of square tiles}}{\textrm{Total number of tiles}}  = \frac{16}{100}   = \frac{4}{25}

Also, solving the fraction, we get \frac{4}{25}  = 0.16

So, the decimal value of square tiles  = 0.6

Calculating the total fraction of rectangle tiles:

The fraction of rectangle tiles  = \frac{\textrm{Total number of rectangle tiles}}{\textrm{Total number of tiles}}  = \frac{34}{100}   = \frac{17}{50}

Also, solving the fraction, we get \frac{17}{50}  = 0.34

So, the decimal value of rectangle tiles  = 0.34

4 0
3 years ago
How do you do this....
Angelina_Jolie [31]

Answer:

Answer is "No real Solution"

4 0
3 years ago
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