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3 years ago

What is the probability of two dice being rolled and it being less than 7 and divisible by 3

Mathematics

2 answers:

Luden [163]3 years ago

8 0

Answer:

Step-by-step explanation:

(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

The bold numbers are less than 7, and the underlined numbers are divisible by 3. The total number of numbers are 36.

The number of numbers that are both underlined and bold are 7.

The probability is 7/36.

Ivenika [448]3 years ago

4 0

Answer:

2/12 (1/6)

Step-by-step explanation:

Two dice both have 6 numbers. So thats 12 numbers in total.

1-6 are less than seven and only 2 of those numbers are divisible by 3. (3 & 6)

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Even though the elimination method is easy I still have trouble with it

kicyunya [14]

Answer:

(1,2)

Step-by-step explanation:

x+4y = 9

2x -4y= -6

Add the equations together

x+4y = 9

2x -4y= -6

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3x +0y = 3

3x=3

Divide by 3

3x/3 = 3/3

x=1

Now find y

x+4y = 9

1 +4y =9

Subtract 1 from each side

4y = 8

Divide by 4

4y/4 = 8/4

y =2

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3 years ago

Simplify the rational expression below.

LenKa [72]

Answer:

A) (x-7)/(x+4)

Step-by-step explanation:

(x^2-10x+21)/(x^2+x-12)=[(x-3)(x-7)]/[(x+4)(x-3)]=(x-7)/(x+4)

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3 years ago

Richie spent $120 on 12 rose bushes and 2 gardenias, while Jim spent it $150 on 10 rose bushes and 10 gardenias. What is the cos

Basile [38]

With the given information, we can create several equations:

120 = 12x + 2y
150 = 10x + 10y

With x being the number of rose bushes, and y being the number of gardenias.

To find the values of the variables, we can use two methods: Substitution or Elimination

For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:

We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:

-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative

Multiply out:

-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
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600 = 100y

Now we can solve for y:

y = 6

With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:

120 = 12x + 2y => 120 = 12x + 2(6)

Now we can solve for x:

120 = 12x + 12 => 108 = 12x

x = 9

So now we know that x = 9, and y = 6.

With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.

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