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Tema [17]
3 years ago
12

Todd is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is even} and let B = {the sum of t

he number cubes is divisible by 2}. List the outcomes in A ∩ B.
{3, 6, 9, 12}
{2, 4, 6, 8, 10, 12}
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
{0,2,4,6,8,12}

Mathematics
1 answer:
Semmy [17]3 years ago
5 0
2 number cubes. 
<span>Let A = {the sum of the number cubes is even}

Let B ={the sum of the number cubes is divisible by 2}

Let A = {2,4,6,8,10,12}
Let B = {2,4,6,8,10,12}

</span><span>A ∩ B refers to intersection of events where A intersect B. Intersection refers to the sums that are common between that two events. These sums are both even and divisible by 2.
</span>
The outcomes in A ∩ B are <span>{2, 4, 6, 8, 10, 12}.

</span>All even numbers are divisible by 2. 

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Answer:

<em>t = 3 seconds</em>

Step-by-step explanation:

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The equation is:

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Where t is the time in seconds and h is the height in feet.

To know how long it takes the object to fall to the ground we do h (t) = 0 and solve for t.

So:

0 = 144 - 16t ^ 2\\\\16t ^ 2 = 144\\\\t ^ 2 = \frac{144}{16}\\\\t ^ 2 = 9\\\\t_1 = 3\\t_2 = -3

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2 years ago
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Answer:

A

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Step-by-step explanation:

I feel the answer is A because from what we know, domain is the x-intercept or x. So both C and D are not the answer because the y-intercept is not the domain, the y-intercept is the range. Next I looked at both A and B, well, if you look closely answer choice A says "excluding -2 and including 3" and choice B says "including -2 and excluding 3". I also seen on the graph that the point of (3,3) has a filled in dot and the point at (-2,-1) has an opened dot. A filled in dot always means you either have a ≥ (greater than or equal to sign) or a ≤ (less than or equal to sign). While an opened dot always means you just have < (greater than) or a > (less than) sign. So the correct answer is A!! Hope you have a fantastic rest of your day! :)))

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Answer:

A

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The perimeter:

P = 2 · width + 2 · length

P = 2 · 3 + 2 · 9 = 6 + 18 = 24 ft.
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