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hammer [34]
3 years ago
7

A magician is performing for an audience of 32 men and 20 women. He selects a volunteer from the audience, has the volunteer sta

nd behind a curtain, and then selects another volunteer. What is the probability that both volunteers are men? (shown as a percent)
OPTIONS:

A. 37.4%


B. 61.5%


C. 32%


D. 37.9%
Mathematics
1 answer:
g100num [7]3 years ago
8 0
The correct answer is A) 37.4%.

The probability that the first volunteer is a man would be 32/52, since there are 32 men out of 52 people.  The probability that the second volunteer would also be a man would be 31/51, since there is 1 fewer man and 1 fewer person total to choose from.

32/51(31/51) = 992/2652 = 0.374 = 37.4%.
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Hope this helps :)

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3 years ago
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Set up and solve the following using dimensional analysis.
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      (See explanation at the bottom)

         =      (5400 inch) x (1 foot / 12 inch) x (1 mile / 5280 foot)

         =      (5400 x 1 x 1 / 12 x 5280)  (inch - foot - mile / inch - foot) 

         =          0.0852  mile  


2).  Multiply (16 week) by (7 day/week) then by (24 hour/day)
       then by (60 minute/hour) then by (60 sec/minute).

3).  Multiply (54 yards) by (3 foot/yard) then by (1 meter/3.28 foot)
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4).  Multiply (36 cm/second) by (3600 second/hour) then by (1 meter/100 cm)
      then by (1 mile/1609.3 meter).

5).  Look up how many grams in a pound  ('P')
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      Multiply (1.09 g/mL) by ( 1 pound/ P gram) then by (1 gallon/ G mL)

6).  Multiply (32 foot/sec) by (1 meter / 3.28 foot) then by (60 sec/minute).


Each time I told you to multiply by something, it was always a fraction
where the numerator and denominator are equal, like (60 seconds/minute)
or (1 foot / 12 inch).  Since the top and bottom of the fraction are equal, the
value of the fraction is ' 1 ' , and multiplying by it doesn't change the value,
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When you multiply, KEEP the units in the product, and then, after you multiply, you can 'cancel' units out of the top and bottom of the product.
Like if you have 'feet' on top and bottom, just cross them out.  When you're done, if you did it correctly, the last unit you end up with will be the one you want.      
4 0
3 years ago
Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30 using synthetic division.
WITCHER [35]
Write the coeeficientes of the polynomial in order:

  | 1   - 5   6   - 30
  |
  |
  |
------------------------

After some trials you probe with 5

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   |
   |
5 |        5      0       30
-----------------------------
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Given that the residue is 0, 5 is a root.

The quotient is x^2 + 6 = 0, which does not have a real root.

Therefore, 5 is the only root. You can prove it by solving the polynomial x^2 + 6 = 0.
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I have no clue what to do please help
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With the whole question ???
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