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Law Incorporation [45]
3 years ago
7

In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will

be selected by drawing names from a hat. The names of the four finalists are Jim, George, Helen, and Maggie. The possible outcomes can be represented as follows: JG JH JM GJ GH GM HJ HG HM MJ MG MH Here, for example, JG represents the outcome that Jim receives the first prize and George receives the second prize. The event A is defined as follows: A = event that Helen gets first prize List the outcomes that comprise the event ~A (not A).
Mathematics
1 answer:
love history [14]3 years ago
4 0

Answer:

1. JG (Jim gets first prize, George gets second prize)

2. JH (Jim gets first prize, Helen gets second prize)

3. JM (Jim gets first prize, Maggie gets second prize)

4. GH (George gets first prize, Helen gets second prize)

5. GJ (George gets first prize, Jim gets second prize)

6. GM (George gets first prize, Maggie gets second prize)

7. MJ (Maggie gets first prize, Jim gets second prize)

8. MG (Maggie gets first prize, George gets second prize)

9. MH (Maggie gets first prize, Helen gets second prize)

Step-by-step explanation:

The question asks for the list of outcomes in the event "Not A". We are looking for the reverse or negative of Event A.

The above given list is the list of outcomes in the event where Helen DOES NOT get first prize.

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melisa1 [442]
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3 years ago
The ratio of boys to girls in the Science Club is 3.5. If there are 60 girls, how many boys are there?
liubo4ka [24]

Answer:

36 boys

Step-by-step explanation:

                                                            3

Please write the ratio as 3:5 or as  --------

                                                             5

Note that 3 + 5 = 8, so that the fraction of boys in the club is 3/8 and that of girls is 5/8.  

How many are in the club altogether?  Let this count be represented by c.  Then (5/8)c = 60.

Multiplying both sides of this equation by (8/5), to isolate c, we get:

c = (8/5)(60) = 96.  Thus, there are 96 Science students altogether.

3/8 of this number are boys.  This comes out to (3/8)(96) = 36 boys.

We could also solve this problem in the following manner:

 3          b

------ = ------- , where b represents the number of boys.

  5        60

Then 5b = 180.  Dividing both sides by 5, we get b = 180/5 = 36 boys

3 0
3 years ago
In MNO, MM=(6x+1), m N=(3x-10)., and mO=(x+19).. Find mN.
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Answer:

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Step-by-step explanation:

Given:

log₆(x) = 1

Now,

From the properties of log

logₓ (z)= \frac{\log(z)}{\log(x)}  (where the base of the log is equal for both numerator and the denominator)

also,

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thus,

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logₓ(y) = n is equivalent to y = xⁿ

therefore,

the given equation can be deduced as:

log₆(x) = 1

into,

x = 6¹

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x = 6

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