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Tema [17]
3 years ago
14

A fair dice is rolled 3 times in a row. The outcomes are shown below. Calculate the probability of all three events occurring. R

oll Outcome 1st 5 2nd factor of 6 3rd more than 1
Mathematics
1 answer:
velikii [3]3 years ago
5 0

Answer:

5/54

Step-by-step explanation:

probability of the dice being 5 = 1/6

probability of the dice being a factor of 6 = 4/6

probability of the dice being more than 1 = 5/6

1/6 * 4/6 = 4/36

4/36 * 5/6 = 20/216

20/216 simplified to lowest is equal to 5/54

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One number is 2 less than a second number. Twice the second number is 5 less than 3 times the first. Find the two numbers.
Evgen [1.6K]

Answer:

9 and 11  

Step-by-step explanation:

First number = x -2

Second number = x

  and   2x = 3(x-2)  - 5

            2x = 3x - 6 - 5

             x = 11

              first number = 11-2 = 9

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2 years ago
The total arm and blade of a windshield wiper is 12 in. long and rotates back and forth through an angle of 85°. The shaded regi
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Step-by-step explanation:

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2 years ago
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The product of 4 and a number f decreased by 2 is 15
Debora [2.8K]

Answer:  The number is:  "2 " .

__________________________________________

Step-by-step explanation:

__________________________________________

Write the expression; which is an equation, as follows:

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    " 4x − 12 = 2(-x) " ;  in which "x" represents "the number for which we shall                                       solve" .

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Note:  

If the "number" = "x" ;  the "opposite of the number"  =  " -x " ;

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Rewrite as:  " 4x − 12 = -2x " ;

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    →  Add "12" ; & add "2x" ; to EACH SIDE of the equation:

                     4x − 12 + 12 + 2x = -2x + 12 + 2x ;

          to get:    6x  = 12  ;

____________________________________________________

Now, divide each side of the equation by "6" ;

    to isolate "x" on one side of the equation; & to solve for "x" ;

____________________________________________________

                        6x / 6  =  12 / 6 ;

                   to get:    x = 2 .

____________________________________________________

Answer:  The number is:  "2 " .

____________________________________________________

Let us check our answer, by plugging in "2" for "x" in our original equation:

_____________________________________________________

       →   " 4x − 12 = 2(-x) " ;

 Let us plug in "2" for "x" ; to see if the equation holds true; that is; if both side of the equation are equal; when "x = 2" ;

       →   " 4(2) − 12 = ?  2(-2) ??

       →    8 − 12 = ?  -4 ? ;

       →    -4 = ? -4 ??  Yes!

__________________________________________________    

7 0
2 years ago
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Find the slope of the following graph and write ur results in the empty box.
Nataly [62]
Slope is 2 because it goes up by two and over by one
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2 years ago
이
kolezko [41]

Answer:

c im quessing though but i got -54.1 so i dont know

Step-by-step explanation:

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