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Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?



Enter your answer, in simplest fraction form, in the box.

Answer:

C'(1, 2 )

Step-by-step explanation:

The translation (x + 3, y - 2 ) means add 3 to the original x- coordinate and subtract 2 from the original y- coordinate, thus

C(- 2, 4 ) → C'(- 2 + 3, 4 - 2 ) → C'(1, 2 )

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

Answer:

vertex = (4, 5 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

f(x) = 3(x - 4)² + 5 ← is in vertex form

with vertex = (4, 5 )

Answer:

Identity property of addition ( 3 + 5) + 0 = (3 + 5)

Associative Property of Multiplication [ 3(5) ](4) = (3)[ (5)4

Identity Property of  Multiplication 5(1) = 5

Associative Property of Addition 3 + (5 + 7) = (3 + 5) + 7

Commutative Property of Addition 3 + 5 = 5 + 3

Step-by-step explanation:

Answer:

1.B

2.C

3.D

4.

a)1/9

b)5/12

5.2/5

Step-by-step explanation:

1.

Since there are 15 total outcomes of which 6 are desirable, the probability of randomly getting a red ball is 5/16 or choice B.

2.

Since there are a total of 8+7+6=21 outcomes, out of which 7 are neither red nor green, there is a 7/21=1/3 probability of that outcome, or answer choice C.

3.

Out of the 52 possible outcomes, 12 are face cards. Therefore, the probability of drawing a face card is 12/52=3/13, or answer choice D.

4.

a)

For each die, there are a total of 6 possible outcomes. This means that in total there are 6*6=36 possible combinations. Now, let's do some casework.

If the first die is a 3, then the second die must be a 6. If the first die is a 4, the second die must be a 5. If the first die is a 5, then the second die must be a 4. And if the first die is a 6, then the second die must be a 3. You cannot have any numbers less than 3, because then you would not be able to make the number 9. Therefore, there is a 4/36=1/9 chance of getting a sum of 9.

b)

All of the possible prime numbers that can be formed with the dice are 2, 3, 5, 7, and 11. For 2, there is only one possible situation where this can happen. For 3, there are 2 possible. For 5, there is 4-1, 3-2, 2-3, and 1-4, or 4 possibilities. For 7, there is 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1, or 6 total possibilities. Finally, for 11, there is only 5-6 and 6-5, or 2 possible. In total, the probability of getting a prime sum is 15/36=5/12.

5.

The only numbers which are a multiple of 3 or 5 from 1 to 20 are: 3, 5, 9, 10, 12, 15, 18, and 20. This means that out of the 20 total possible options, 8 of them are a multiple of 3 or 5, which is a total chance of 2/5.

Hope this helps!

Answer:

80.93

Step-by-step explanation:

15.40×7=107.80

188.73-107.80=80.93

Answer:

Anna will need 1375 g of oats

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

Answer:

Because of cars, and factories making it everyday.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

You plug 8 into the equation where a is. 8 x 3 = 24 - 4 = 20.

Answer:

Lets do this step by step

Step-by-step explanation:

I hope this helps

Answer:

-14

Step-by-step explanation:

To solve for x, you would first need to add 10 to both sides. Then you would get -3x-10+10=32+10. Then we simplify that to get, -3x=42. Then, you would divide both sides by -3, to get x=-14

Answer:

Step-by-step explanation:

Using the parallelogram theorem

3x-8 = 10x+13

-7x = 21

x = -3

Substitute

3(-3) - 8

-17

10(-3) + 13

-17

Answer:

First system: no solution

Second system: one solution

Third system: one solution

Fourth system: infinite solutions

Fifth system: no solution

Step-by-step explanation:

First system: 3x-2y=3; 6x-4y=1

From the first equation: y = (3x - 3)/2

Using this value of y in the second equation:

6x - 6x + 6 = 1

6 = 1 -> System has no solution

Second system: 3x-5y=8; 5x-3y=2

From the first equation: x = (8 + 5y)/3

Using this value of x in the second equation:

5*(8 + 5y) - 9y = 6

40 + 25y - 9y = 6

16y = -34 -> y = -2.125

x = (8 - 5*2.125)/3 = -0.875

This system has one solution

Third system: 3x-2y=8; 4x-3y=1

 From the first equation: x = (8 + 2y)/3

Using this value of x in the second equation:

4*(8 + 2y) - 9y = 3

32 + 8y - 9y = 6

y = 26

x = (8 + 2*26)/3 = 20

This system has one solution

Fourth system: 3x-6y=3; 2x-4y=2

  From the first equation: x = 1 + 2y

Using this value of x in the second equation:

2*(1 + 2y) - 4y = 2

2 + 4y - 4y = 2

2 = 2

This system has infinite solutions

Fifth system: 3x-4y=2; 6x-8y=1

  From the first equation: x = (2 + 4y)/3

Using this value of x in the second equation:

2*(2 + 4y) - 8y = 1

4 + 8y - 8y = 2

4 = 2

This system has no solution

Answer:

i would think C

Step-by-step explanation:

hi

if you mean   :   1/6 =    ... / 6   it's 3  as 3/6 = 1/2

Answer:

b

Step-by-step explanation:

Because y increases by a factor of 2 every time x goes up by 1, the opposite happens when x decreases by 1. This means that when x = 0, y = 5 so the answer is b.

Applying the points and finding the equation, it is found that point (0,5) is also on the graph, option b.

The exponential equation has the following format:

[tex]y = ab^x[/tex]

Point (1,10) means that when [tex]x = 1, y = 10[/tex], thus:

[tex]ab = 10[/tex]

Point (2,20) means that when [tex]x = 2, y = 20[/tex], thus:

[tex]ab^2 = 20[/tex]

From the first equation:

[tex]a = \frac{10}{b}[/tex]

Replacing on the second:

[tex]\frac{10}{b}b^2 = 20[/tex]

[tex]10b = 20[/tex]

[tex]b = \frac{20}{10}[/tex]

[tex]b = 2[/tex]

So

[tex]a = \frac{10}{b} = \frac{10}{2} = 5[/tex]

Then, the equation is:

[tex]y = 5(2)^x[/tex]

When [tex]x = 0, y = 5(2)^0 = 5[/tex], thus point (0,5) is also on the graph, which means that option b is correct.

A similar problem is given at https://brainly.com/question/14773454

Answer:

True

Step-by-step explanation:

Logic: if 3+4 =7 then 4+3 also = 7 or 3*4 =12 then 4*3 is also 12 etc.

Answer:

5

Step-by-step explanation:

Slope equation is (y2-y1)/(x2-x1)

(-1-4)/(2-3)

-5/-1

5

Answer:

n+6

Step-by-step explanation:

sum means add

n+6

Answer:

1/9

Step-by-step explanation:

9 bananas 7 mangoes 2 pineapples.  = 18 pieces  of fruit

Fraction of fruit that is pineapple

pineapple / total

2/18

Simplifying

1/9

Answer:

1/9

Step-by-step explanation:

To start off, add all of the known fruit amounts in order to find the total amount of fruit.

9 bananas +7 mangoes + 2 pineapples

When you do this, you find that the total fruit is 18

In order to know probability, you must divide the desirable outcome by the total possible outcomes.

The desirable outcome is pineapple. There are 2 pineapples. The total possible outcomes are 18.

2/18

You can simplify this fraction so that it becomes 1/9 by dividing the numerator and the denominator by 2

Please give me Brainliest, I have not got it yet but I have been working for it as hard as I can.

Answer:

2x+3

Step-by-step explanation:

+3 " three more than"

2x " the product of two and a number"

2x+3 " three more than the product of two and a number"

Answer:

2^4x3x5

Step-by-step explanation:

240=2x120

120=2x60

60=2x30

30=2x15

15=3x5

Answer:

s=-4

Step-by-step explanation:

Bring the S to one side and the numbers to the other

-11/4s=11

Then just divide, but when dividing fractions you have to switch the fraction so..

s=11*(-4/11)

s=-4

We have that

The Matrix A  is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

From the question we are Given the matrix:

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

Invertible Matrix

In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that

[tex]AB=BA=I_n[/tex]  

where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.

Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero

Generally the determinate of Matrix A is given as

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]

In conclusion

The Matrix A is a singular square matrix and because its determinate is zero.

So, No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

For more information on this visit

https://brainly.com/question/18028537

Answer:

It is not cloudy.

Step-by-step explanation:

The negation is like the opposite of the statement. If you were to say something true, the negation of it would be false.

Answer: It is not cloudy.

Step-by-step explanation:

Answer:

4.3 cm

Step-by-step explanation:

By the theorem of intersecting secants outside of a circle.

[tex]3 \times (y + 3) = 2 \times (2 + 6 + 3) \\ 3(y + 3) = 2 \times 11 \\ 3y + 9 = 22 \\ 3y = 22 - 9 \\ 3y = 13 \\ y = \frac{13}{3} \\ y = 4.3 \: cm[/tex]

Answer: A line segment is a part of a line. It has 2 endpoints.

Step-by-step explanation:

Step-by-step explanation: In geometry, a line segment is a segment that's composed of two points, which are called the endpoints, and all the points that are between the endpoints.

So, in order for a figure to be a line segment,

it needs to begin and end at an endpoint.

Take a look at the image provided below.