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Novay_Z [31]
3 years ago
15

Please help! Twenty students are arranged randomly in a row for a class picture. Paul wants to stand next to Phyllis. Find the p

robability that he gets his wish.
Mathematics
1 answer:
artcher [175]3 years ago
4 0

Answer:

A classroom is arranged with 8 seats in the front row, 10 seats in the middle row, and 12 seats in the back row. The teacher randomly assigns seats to students as they enter the classroom.

Step-by-step explanation:

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The board of examiners that administers the real estate broker examination in a certain state found that the mean score on the t
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Z-score for 80% to pass = -0.842.
-0.842=\frac{X-426}{72}
-60.624 = X - 426
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3 years ago
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estellano Rosales, FABIAN A cone and a cylinder with their dimensions are shown in the diagram. 8 in. 8 in. A - 6 in. - 6 in. Wh
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Step-by-step explanation:

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3 years ago
Simplify completely..........​
vitfil [10]

Answer:

\frac{x}{x-1}

Step-by-step explanation:

\frac{3x^2 - 1}{x^2 - 1} - \frac{2x + 1}{x + 1}                                          [ \ x^ 2- 1 = (x-1)(x + 1) \ ]

= \frac{3x^2 - 1}{(x-1)(x  + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}                        [\ Taking \ LCM \  ]

= \frac{(3x^2 - 1)- (2x^2 - 2x + x - 1)}{(x+1)(x-1)}\\\\=\frac{3x^2 - 1 - 2x^2 + x + 1 }{(x+1)(x-1)}\\\\=\frac{x^2 +x}{(x+1)(x-1)}\\\\=\frac{x(x+1)}{(x+1)(x-1)}\\\\=\frac{x}{x-1}

<em><u>Finding LCM :</u></em>

Example :

                 \frac{1}{6} + \frac{1}{3}

6 = 2  x   3

3 = 1   x   3

                \frac{1}{2 \times 3} + \frac{1}{ 3} = \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}  

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

 (x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1)  = 1 \times (x + 1)

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

                                       \frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}

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