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Ulleksa [173]
3 years ago
13

Jeremy 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

the number cubes is divisible by 3}. List the outcomes in A ∩ B.
{6, 12}
{3, 6, 9, 12}
{2, 4, 6, 8, 10, 12}
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

Answer:

A ∩ B = {12}

Step-by-step explanation:

What are the possible even outcomes?  

Assuming the number cubes are 1-6,

our possible outcomes run from 2-12, but we are looking for even rolls, so A={2,4,6,8,10,12}.  

How many of those are divisible by 3?  B={12}.  

We are looking for what is in common between these, so

A ∩ B= {12}

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ludmilkaskok [199]

Answer:

x = 8√2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Trigonometry</u>

  • [Right Triangles Only]: Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 8

Leg <em>b</em> = 8

Hypotenuse <em>c</em> = <em>x</em>

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Substitute [PT]:                    8² + 8² = x²
  2. Exponents:                           64 + 64 = x²
  3. Add:                                      128 = x²
  4. Isolate <em>x</em>:                               8√2 = x
  5. Rewrite:                                x = 8√2
4 0
3 years ago
There are 80 people waiting to tour the science museum. The tour guide takes 4 groups of 16 people each. The remaining people wi
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Answer:

16 people

Step-by-step explanation:

Given that :

Number of people to tour = 80

Number per group = 16

Number of groups = 4

Total number of people who make up the entire groups :

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16 * 4 = 64

The number of people in the last tour group :

80 - 64

= 16 people

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djyliett [7]

Answer:

<h2>D. (42 - 2x)(32 - 2x) = 900</h2>

Step-by-step explanation:

<em>Look at the picture.</em>

The dimensions of the picture:

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The formula of an area of a rectangle:

A = l · w

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Substitute l = (42 - 2x), w = (32 - 2x) and A = 900

(42 - 2x)(32 - 2x) = 900

8 0
3 years ago
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