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denis23 [38]
3 years ago
13

Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a stati

stically fair
game?

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

Counting from the top:

fist option

fourth option

fifth option.

Step-by-step explanation:

Any set that has a multiplicative outcome, such that the total number of outcomes is 24.

Remember that if we have a combination of two events, one with N outcomes and the other with M outcomes, the total number of outcomes is:

M*N

This is the main thing we need to see.

Let's analyze each option:

1) flip a coin (2 outcomes)

  flip a coin again (2 outcomes)

  roll a 6 sided dice ( 6 outcomes)

total number of outcomes:

2*2*6 = 24

2) Selecting a number from 1 to 16 (16 outcomes) and rolling a dice of 8 sides (8 outcomes).

The total number of outcomes is:

8*16 = 128

We wanted only 24.

3) Selecting a number from the set {1, 3, 5, 7, 9} (5 outcomes)

   flip a coin (2 outcomes)

   flip the coin again (2 outcomes)

total number of outcomes:

2*2*5 = 20

We wanted 24, we can discard this.

4) Spin the thing (3 outcomes)

   roll an 8-sided dice (8 outcomes)

Total number of outcomes:

8*3 = 24

This is a correct option.

5) Select a card from A to D (4 outcomes)

Roll the thing (6 outcomes)

total number of outcomes:

6*4 = 24

This is a correct option.

6) Select a card from A to N {14 options}

   Roll the thing once (10 outcomes)

Total number of outcomes:

14*10 = 140

We wanted 24, so we can discard this option.

Then the correct options are:

first one, fourth one, and fifth one.

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One container holds 1 1/7 quarts of water and second container holds 5 3/4 quarts of water how many more harts of water does the
Anna007 [38]

Answer:

129/28 (4.6 approx.)

Step-by-step explanation:

The first hols 1 1/7 quarts, it is: 1 + 1/7

Using 7 as common denominator and summing:

1 + 1/7 = 7/7 + 1/7 = 8/7

The second holds 5 3/4 which is: 5 + 3/4. Using 4 as common denominator:

5 + 3/4 = 20/4 + 3/4 = 23/4

Now we need to know how much greater is 23/4 than 8/7. For comparing them we need to set them to a common denominator. The easiest way is use a number that is multiple of both, 4 and 7, lets us 28. We need to multiply the numerators by the number that, multiplied by denominators gives us 28. For the first is 4, and for the second 7.

8/7 = (8*4)/7*4=32/28

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Now, we only have to subtract:

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3 0
4 years ago
The two stadiums with the largest capacities are Marshfield Stadium and Bowden Stadium. Marshfield Stadium has a capacity of 7,6
Rina8888 [55]

Answer: Capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.

Step-by-step explanation:

Let x = Capacity of Marshfield Stadium.

y = Capacity of Bowden.

As per given, we have

x - y = 7,675               (i)

x+y  =  210,355               (ii)

2x = 218030    (iii)

\Rightarrow\ x= \dfrac{218030}{2}\\\\\Rightarrow\ x= 109015

Put value of x in (i) , we get

109015 - y = 7675

⇒ y= 109015 - 7675

⇒ y= 101,340

Hence, capacity of Marshfield Stadium is 109,015 and capacity of Bowden is Bowden.

6 0
3 years ago
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