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ipn [44]
3 years ago
11

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

of the number cubes is divisible by 3}. List the outcomes in A ∩ B. (5 points)
Mathematics
2 answers:
Rama09 [41]3 years ago
7 0

Answer:

A ∩ B = {3,9}

Step-by-step explanation:

Consider the completer question is "Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is odd} and let B = {the sum of the number cubes is divisible by 3}. List the outcomes in A ∩ B.  Options : {1,3,5,7,9,11} , {1,3,9} , {3,9}, {3,9,12}"

It is given that Stephanie is playing a board game and rolls two number cubes.

Let A = {The sum of the number cubes is odd}

A = {3,5,7,9,11}

B = {The sum of the number cubes is divisible by 3}

B = {3,6,9,12}

We need to find the outcomes in A ∩ B.

It means we need to find the common elements of A and B.

A ∩ B = {3,9}

Therefore, the required set of values is {3,9}.

patriot [66]3 years ago
4 0

Answer:

A ∩ B = {3, 9}

Step-by-step explanation:

First we find the possible values for the set A.

By launching the number cubes you can only get numbers from 1 to 6

You can get:

A = \{3, 5, 7, 9, 11\}

For set B you can get:

B = \{3, 6, 9, 12\}  <em> The numbers that are divisible by 3</em>

The set A ∩ B will be formed by the elements that are in A and are also in B. In this case they are: the odd numbers that are divisible by 3

Finally we have that:

A ∩ B = {3, 9}

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dalvyx [7]

Answers is 6=0 I think.

2 + 4 = 0 \\ 6 = 0

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The histogram displays different numbers of days that customers rented a car. Which interval represents the most common number o
sleet_krkn [62]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the histogram is not attached.

However, the solution to your question is to select the interval with the highest frequency

Take for instance, after getting readings from the histogram, yiu have:

1 - 10: 8

11 - 20: 5

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31 - 40: 2

And so on.......

Interval 11 - 20 will represent the required interval because it has the highest frequency.

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3 years ago
The explicit formula for a sequence is
Alexandra [31]

Answer:

28

Step-by-step explanation:

Let n = 21, and evaluate the expression.

a_n = -2 + \dfrac{3}{2}(n - 1)

a_{21} = -2 + \dfrac{3}{2}(21 - 1)

a_{21} = -2 + \dfrac{3}{2}(20)

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3 0
3 years ago
Question 1
storchak [24]

Answer:

x = 13.5

y = 7

(13.5,7)

what the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect

Step-by-step explanation:

x + y = 20.5

x - y = 6.5

if we add the two equations we get:

2x = 27

x = 13.5

y = 20.5 - 13.5

y = 7

solution as an ordered pair:

(13.5,7)

What the solution means is that (13.5,7) would be the point at which the two lines, x+y=20.5 and x-y=6.5, would intersect

5 0
2 years ago
Two numbers have these properties:
almond37 [142]

Answer:

12\ and\ 30

Step-by-step explanation:

Given both numbers are greater than 6

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Their LCM is 60

The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves.

Let us say those number are a and b

a\times b=6\times 60\\a\times b=360

So, the product of those number is 360

Let us factorize 360

360=1\times 2\times 2\times 3\times 5\times 6

It is given that number should be greater than 6

The possible pairs of number are (10,36)\ and\ (12,30)

But only (12,30) has LCM as 60.

So those numbers are 12\ and\ 30

5 0
3 years ago
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