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motikmotik
3 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]3 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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How do I use the subtraction theorem to write equivalent expressions?
Andreas93 [3]
The subtraction theorem states that for all real numbers, a and b, a-b=a+(-b).
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.

3 - 2 = 3 + (-2) = 1\\ \\ 5 - (-2) = 5 + 2 = 7


3 0
3 years ago
Solve the following system of equations and show all work.<br> y = 2x^2 +9x<br> y = 4x + 25
Genrish500 [490]

Answer:

x = 5/2 thì y = 35 và x = -5 thì y = 5

Step-by-step explanation:

thay y = 4x + 25 vào phương trình y = 2x ^ 2 + 9x ta có:

4x + 25 = 2x ^ 2 + 9x

⇒2x ^ 2 + 5x - 25 = 0

⇒ x = 5/2 và x = -5

thay x = 5/2 vào phương trình y = 4x + 25 ⇒ y = 4*(5/2) + 25 = 35

thay x = -5 vào phương trình y = 4x + 25 ⇒ y = 4*(-5) + 25 = 5

7 0
3 years ago
Jerry borrow $35,00 for 3 years at 7 1/2% simple interest rate how much interest rate he have to pay​
gregori [183]

Answer:

787.50

Step-by-step explanation:

interest=principle*rate*time/100

interest=3500*7.5*3/100

interest=35*7.5*3

interest=787.50

8 0
3 years ago
Select the action you would use to solve 4x = 16. Then select the property
oksian1 [2.3K]

Answer:

A.

Step-by-step explanation:

Since you are trying to find <em>x</em>, you have to divide both sides by 4 to isolate <em>x</em> and get your answer.

3 0
3 years ago
Find vertex of f(x)=(x+3)(x-5)
astra-53 [7]

The x coordinate of the vertex will be the average of the two zeros, here -3 and 5, so x=(-3+5)/2 = 1, f(1)=(1+3)(1-5) = -16.

Answer: (1, -16)

Let's do it some other ways.  How about completing the square to turn f in to vertex form?

f(x) = (x+3)(x-5) = x² - 2x - 15 = (x² - 2x + 1) - 1 - 15 = (x-1)² - 16

and now we can read off (1, -16) as the vertex.

The other method is the vertex is x= - b/2a =  - (-2)/2(1) = 1.

Three methods, same answer. Good.

4 0
2 years ago
Read 2 more answers
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