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Virty [35]
3 years ago
12

A pitcher could hold 1/8 of a gallon of water. If John filled up 9 Pitchers, how much water would he have.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0
1 pitcher = 1/8 gallon
9pitcher * 1/8 gallon = 9/8 gallon, so 1 and 1/8 gallons
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A standard deck of cards has 52 cards divided into 4 suits, each of which has 13 cards. Two of the suits ($\heartsuit$ and $\dia
Gnoma [55]

Answer:

The number of ways to select 2 cards from 52 cards without replacement is 1326.

The number of ways to select 2 cards from 52 cards in case the order is important is 2652.

Step-by-step explanation:

Combinations is a mathematical procedure to compute the number of ways in which <em>k</em> items can be selected from <em>n</em> different items without replacement and  irrespective of the order.

{n\choose k}=\frac{n!}{k!(n-k)!}

Permutation is a mathematical procedure to determine the number of arrangements of <em>k</em> items from <em>n</em> different items respective of the order of arrangement.

^{n}P_{k}=\frac{n!}{(n-k)!}

In this case we need to select two different cards from a pack of 52 cards.

  • Two cards are selected without replacement:

Compute the number of ways to select 2 cards from 52 cards without replacement as follows:

{n\choose k}=\frac{n!}{k!(n-k)!}

{52\choose 2}=\frac{52!}{2!(52-2)!}

      =\frac{52\times 51\times 50!}{2!\times50!}\\=1326

Thus, the number of ways to select 2 cards from 52 cards without replacement is 1326.

  • Two cards are selected and the order matters.

Compute the number of ways to select 2 cards from 52 cards in case the order is important as follows:

^{n}P_{k}=\frac{n!}{(n-k)!}

^{52}P_{2}=\frac{52!}{(52-2)!}

       =\frac{52\times 51\times 52!}{50!}

       =52\times 51\\=2652

Thus, the number of ways to select 2 cards from 52 cards in case the order is important is 2652.

6 0
3 years ago
Please help with my Area of sectors and Segments Question!!! Show your work please!!!!
viktelen [127]

Answer:

The answer is 11.1 sq hope it helps and good luck!

Step-by-step explanation:

4 0
3 years ago
Matty jogs 1km in 5 minutes. Identify the correct conversion factor setup required to compute Matty's speed in m/s.
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1 km / 5 mins

Convert 1 km to meters:
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Divide by 5 on both sides:
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Convert 1 min to seconds:
200m / 60 sec

Divide by 60 on both sides
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Answer: Matty's speed is 3.33m/s
6 0
4 years ago
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GarryVolchara [31]
The answer is c 
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Which expression is equivalent to (8x − 4) + (5 − 4x)?
Mnenie [13.5K]

Answer:

The answer whould be a

Step-by-step explanation:

and it whould be correct!

6 0
3 years ago
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