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tiny-mole [99]
3 years ago
11

A number cube is rolled, and a coin is tossed. What is the probability that a four is rolled and the coins comes up tails?

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0
The answer is D 1/12.

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Let A = {x : 2x² + 3x - 2 = 0} and B = {x : x² + 3x - 4 = 0 } find (A U B) × (A Π B)​
ivann1987 [24]

Given :

  • A = {x: 2x² + 3x - 2 = 0 }
  • B = {x : x² + 3x - 4 = 0 }

To find :

  • (A U B ) × (A Π B )

Solution :-

<u>The </u><u>first </u><u>set </u><u>is </u><u>,</u>

  • A ={x : 2x² + 3x - 2 = 0}

<u>Solving</u><u> </u><u>the </u><u>Quadratic</u><u> equation</u><u> </u><u>,</u>

  • 2x² + 3x - 2 = 0
  • 2x² + 4x - x - 2 = 0
  • 2x( x + 2) -1( x + 2 ) = 0
  • (2x -1) ( x + 2) = 0
  • x = 0.5 , -2

<u>Hence</u><u> </u><u>,</u>

  • A ={0.5, -2}

<u>The </u><u>second</u><u> </u><u>set </u><u>is </u><u>,</u>

  • B ={ x :x² + 3x - 4 = 0 }

<u>Solving</u><u> the</u><u> Quadratic</u><u> equation</u><u> </u><u>,</u>

  • x² + 3x - 4 = 0
  • x² + 4x - x - 4 = 0
  • x( x + 4)-1 ( x +4) = 0
  • (x + 4) ( x -1) = 0
  • x = 1 , -4

<u>Hence</u><u> </u><u>,</u>

  • B ={1,4}

<u>Now </u><u>,</u>

  • A U B = { 0.5 , 1 , 4 , -2}
  • A Π B = {∅ }

Since AΠ B is a null set , hence ,

  • A × B = {∅}
8 0
3 years ago
The crayola crayon company can make 2400 crayons in 4 minutes.How many crayons can they make in 15 minuttes
scZoUnD [109]

<span><span>4 x n = 2400 x 15Find the cross products</span>
<span>4n = 36000Multiply</span>
<span>n = 9000Divide both sides by 4</span></span>

<span>The Crayola crayon company can make 9000 crayons in 15 minutes.</span>

<span>hope this helps :)</span>

6 0
3 years ago
How much is 2/3 cups plus 1 1/4 cups
Schach [20]
  • Answer:

1\frac{11}{12}

  • Step-by-step explanation:

\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\    \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}

5 0
3 years ago
Help please.........
Tanya [424]

Answer:

y = 4.5 x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Help me solve this problem
masya89 [10]
2/5 (-7) 5/2 as you know 2/5 x 5/2 = 1
so 1 x (-7) = -7
so the asnwer is -7
7 0
3 years ago
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