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Ilya [14]
3 years ago
11

Rick has a collection of 6 video games. He lets his best friend borrow 2/6 of his video game collection. Write two fractions equ

ivalent to this number. Explain how you can came up with the fractions.
Mathematics
1 answer:
torisob [31]3 years ago
6 0
Both 2 and 6 are divisible by 2, so you would divide them by 2 and your fraction would be reduced to 1/3. You would get that answer by simply reducing the fraction.
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A flush in the card game of poker occurs if a player gets five cards that are all the same suit​ (clubs, diamonds,​ hearts, or​
Artyom0805 [142]

Answer:

The probability is 0.000495

Step-by-step explanation:

As per the question:

Total no. of cards in a deck = 52

No. of spades in a deck = 13

Now, we have to select 5 cards in a deck such that they belong to the same suit, i.e., spades.

The no. of ways of selecting 5 cards from a deck = ^{52}C_{5} = \frac{52!}{5!(52 - 5)!} = \frac{52!}{5!47!}

The no. of ways of selecting 5 cards from 13 spade cards = ^{13}C_{5} = \frac{13!}{5!(13 - 5)!} = \frac{13!}{5!8!}

Now,

Probability that the selected 5 cards are all spades, P(E)  = \frac{No.\ of\ ways\ of\ selecting\ 5\ cards\ from\ 13\ spade\ cards}{No.\ of\ ways\ of\ selecting\ 5\ cards\ from\ a\ deck}

P(E)  = \frac{^{13}C_{5}}{^{52}C_{5}}

P(E)  = \frac{\frac{13!}{5!8!}}{\frac{52!}{5!52!}}

P(E)  = \frac{\frac{13\times 12\times 11\tiems 10\times 9}{5\times 4\times 3\times 2\times 1}}{\frac{52\times 51\times 50\times 49\times 48}{5\times 4\times 3\times 2\times 1}}

P(E)  = \frac{13\times 12\times 11\tiems 10\times 9}{52\times 51\times 50\times 49\times 48} = 4.95\times 10^{- 4} = 0.000495

7 0
2 years ago
What is the volume of the figure?
kaheart [24]

Answer:

The answer is C

Step-by-step explanation:

the volume equation is b*h*

the b= 2*8

the h= 3.

6 is the diagonal length of the side face which would be incorrect.

The answer would be 48. or C in the pic

3 0
3 years ago
A garden is rectangular with an area of 6/7 square miles. If the length of the garden is 3/5 miles, what is its width?
Dafna11 [192]

Answer:

Step-by-step explanation:

Area= length x width

area=6/7, length=3/5, width=?

6/7=3/5 x width

6/7 divided by 3/5= 6/7 x 5/3 (you have to multiply by the recipricol, or flip the fraction.)

6/7 x 5/3=30/21= 1 3/7=width

7 0
3 years ago
Acute, obtuse or right triangle?
mart [117]

Answer:

right triangle

Step-by-step explanation:

it wouldn't be obtuse because obtuse is if one of the angles is more than 90 degrees. Plus you can make a box at the bottom corner.


5 0
3 years ago
Anthony teaches a pottery painting class in order to save up money for a nice
Marysya12 [62]

Answer:

Anthony teaches a pottery painting class in order to save up money for a nice

bike. In yesterday's class, 5 of the 11 students painted piggy banks.

If Anthony randomly chose 4 of the pieces of pottery to glaze, fire, and set on

the top shelf in a certain order, what is the probability that just the first 2 of the

chosen pieces of pottery are piggy banks?

5 0
3 years ago
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