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notka56 [123]
3 years ago
5

When rolling two standard six-sided dice, what is the probability that the sum of the dice will be even or a multiple of 3? (sho

w your work)
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0

Answer:

2/3

Step-by-step explanation:

List all the possible sums.  If it helps, make a table:

\left[\begin{array}{ccccccc} &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\end{array}\right]

There are 36 total possible sums.  Of those, 18 are even, and 6 are odd but multiples of 3.

Therefore, the probability is:

P = (18 + 6) / 36

P = 24 / 36

P = 2 / 3

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7(2x+6)=1 plzzz Yelp
Ierofanga [76]

Answer:

x=-\dfrac{41}{14}

Step-by-step explanation:

7(2x+6)=1

Expand parentheses:

14x+42=1

Subtract 42 from both sides:

14x=-41

Divide both sides by 14:

x=-\dfrac{41}{14}

Hope this helps!

4 0
3 years ago
Read 2 more answers
A regular polygon is inscribed in a circle of radius 11 cm. Calculate the perimeter of the polygon to the nearest tenth if the p
Oduvanchick [21]
I believe the answer is 176cm cause if the radius is 11 the diameter is 22 so I hope this helps!
7 0
3 years ago
A coin and a die is rolled. What is the probability of a head and a 3?
saw5 [17]

Answer:

1/6

Step-by-step explanation:

The probability of <em>only</em> a heads on a coin is 1/2, and the probability of <em>only</em> a 3 on a die is 1/6. Multiply them together, and you get 1/6.

6 0
3 years ago
A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points
seraphim [82]

Answer:

Number of edges in the resulting solid = 12

Step-by-step explanation:

A wooden block measures 2 inches by 2 inches by 3 inches. A wedge is cut off from each corner of the block by slicing at points that are 1 inch from each corner.

We are supposed to find the number of edges that are in the resulting solid.

In some corners , if we take out inch from both, then there would be nothing remaining.

The two faces along the height would be removed and it will become sharpened.

So the number of edges = 4 + 4 + 4 = 12

7 0
3 years ago
A rectangle has perimeter, P, length, land width, w. Which of the following represents lin
almond37 [142]

Answer:

l=\frac{P}{2}-w.

Step-by-step explanation:

The perimeter of a rectangle is the sum of it's side lengths.

A rectangle has 4 sides where it's opposite sides are congruent.

So if one side has measurement w, then there is another side that has measurement w.

If there is one side that has measurement l, then there is another side that has measurement l.

So if you add w+w+l+l you get 2w+2l.

They are giving us that the perimeter is P, so P=2w+2l.

we are being asking to solve for l.

P=2w+2l

First step: Isolate term that contains the l, so get 2l by itself first.

We are going to subtract 2w on both sides giving us:

P-2w=2l

2l=P-2w

Now that we have 2l by itself it is time to perform the last step in getting l by itself.

Second step: Divide both sides by 2.

This gives us:

l=(P-2w)/2

You may separate the fraction like so:

l=\frac{P-2w}{2}=\frac{P}{2}-\frac{2w}{2}=\frac{P}{2}-w.

I don't know your options but I have solve for l in terms of P and w

and got l=\frac{P}{2}-w.

Please let me know if you have further questions with this problem.

4 0
3 years ago
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