Here are the possible outcomes when a pair of fair dice is rolled.1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12


In a roll of a pair of fair dice, what is the probability of the outcome being either a multiple of 3 or an even number? Are these events mutually exclusive?
, mutually exclusive
, not mutually exclusive
, mutually exclusive
, not mutually exclusive

Answers

Answer 1
Answer: I don't understand the big table of numbers at the top at all,
and don't see how it relates to the question.


There are 36 possible outcomes for the roll of a pair of dice.
According to your specifications, the successes are:

-- Multiples of 3:
       1 ... 2    (3)
       2 ... 1      
       3 ... 3    (6)
       1 ... 5
       5 ... 1
       2 ... 4
       4 ... 2
       3 ... 6    (9)
       6 ... 3
       4 ... 5
       5 ... 4
       6 ... 6    (12)
(12 different outcomes)

-- Even numbers:
       1 ... 1   (2) 
       1 ... 3    (4)
       3 ... 1
       2 ... 2
       3 ... 3    (6)
       1 ... 5
       5 ... 1
       2 ... 4
       4 ... 2  
       2 ... 6    (8)
       6 ... 2
       3 ... 5
       5 ... 3
       4 ... 4
       4 ... 6    (10)
       6 ... 4
       5 ... 5
       6 ... 6    (12)   
(18 different outcomes)

The events are NOT mutually exclusive.
A roll of 6 (5 ways)  or 12 (1 way)  meets both requirements.

Successful outcomes:
  Multiples of 3 . . . . 12
  Even numbers . . . 18
       Duplicates . . . . 6
              
So there are 24 different successful outcomes.

Probability  = (24) / (36)  =  2/3  =  (66 and 2/3) %

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When y= 234, x= 18. Find the value of x when y= 91. A. 12.75
B. 4.9
C. 7
D. 33.4
F. 13

Answers

Answer:

C

Step-by-step explanation:

Hey! So first divide 234 by 18 to find a ratio. You would get 13:1. So apply this to y=91. 91/13 is 7.

Final answer:

To find the value of x when y = 91, set up a proportion using the given values and cross-multiply. Divide both sides of the equation by the coefficient of x to solve for x. The value of x when y = 91 is 7.

Explanation:

To find the value of x when y = 91, we can use the concept of proportionality. We know that when y = 234, x = 18. We can set up a proportion by cross-multiplying:

(x / 18) = (91 / 234)

Cross-multiplying gives us:

234x = 91 * 18

Dividing both sides by 234 gives us the value of x:

x = (91 * 18) / 234

Simplifying the expression, we get:

x = 7

Therefore, the value of x when y = 91 is 7.

Learn more about Proportionality here:

brainly.com/question/32437705

#SPJ3

What is another way to describe an event with a probability of 1?

Answers

Answer:

Likely to get it.

Step-by-step explanation

Do you mean 1% or 1? If 1 then it is likely to pick that.

If it is 1% then it's the opposite (unlikely) to pick that.

Hopes this makes sense!

Volume of triangles prism 8.9 cm 8cm 14cm

Answers

Answer:

A. 1 1/5

Step-by-step explanation:

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

| n + 2 | ≥ 1 please explain it if you can thank you

Answers

Answer:

  (n ≤ -3) ∪ (-1 ≤ n)

Step-by-step explanation:

I like to "unfold" the absolute value expression by copying the right-side expression to the left side (with the same comparison symbol) and negating its value. I do it this way because I find it easier to work the problem "all at once".

  -1 ≥ n +2 ≥ 1

Obviously, -1 ≥ 1 is not true, which means the solution to this inequality will be disjoint sections of the number line. A compound inequality of this nature is generally interpreted to mean the AND of the two inequalities. So, technically, this is an incorrect step. I choose to overlook that, and consider the expression to represent the two inequalities ...

  -1 ≥ n +2 . . . OR

  n +2 ≥ 1

Subtracting 2 from the above compound inequality gives ...

  -3 ≥ n ≥ -1

So, the solution is ...

  (n ≤ -3) ∪ (-1 ≤ n)

_____

Further explanation

The inequality symbol negates its content if that content is negative. So, the expression ...

  |n+2| ≥ 1

means ...

  ±(n +2) ≥ 1

This resolves to two cases:

  n +2 ≥ 1

and

  -(n +2) ≥ 1

The latter case is equivalent to ...

  n +2 ≤ -1

which can also be written as ...

  -1 ≥ n +2

A more technically correct solution process would identify the two cases and work them separately.

__

In the graph, the red shading (with the solid edge) shows the solution with respect to the numbers on the x-axis. If you were to graph this on a number line, you would put solid dots at -3 and -1, and shade the line to their left and right, respectively. The blue curve shows the absolute value, and the green line shows y=1, so you can see that the shaded areas correspond to the absolute value being greater than or equal to 1.

Which statements are true about the linear inequality y > 3/4 x – 2? Check all that apply.The slope of the line is –2.


The graph of y > 3/4 x – 2 is a dashed line.


The area below the line is shaded.


One solution to the inequality is (0, 0).


The graph intercepts the y-axis at (0, –2).

Answers

The correct statements regarding the inequality given above are as follows:

The area below the line is shaded since it is an inequality with a number of possible solution. The graph intercepts the y-axis at (0, –2) as seen from the equation above.

Hope this answers the question.

Answer:

The area below the line is shaded

since it is an inequality with a number of possible solution.

The graph intercepts the y-axis at (0, –2) as seen from the equation above.

Step-by-step explanation:

The measure of each interior angle of a _______ quadrilateral is _________than ________

Answers

the measure of each interior angle of a convex quadrilateral is less than 180 degrees