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Bingel [31]
3 years ago
7

Write (8a^-6) in simplest form.

Mathematics
1 answer:
salantis [7]3 years ago
7 0
It's 8/a^6 that's your answer
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A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl
Andrew [12]

Answer: \dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9} or  \dfrac{228}{91885} .

Step-by-step explanation:

Given : A poker hand consisting of 9 cards is dealt from a standard deck of 52 cards.

The total number of cards in a deck 52

Number of faces cards in a deck = 12

Number of cards not face cards = 40

The total number of combinations of drawing 9 cards out of 52 cards = ^{52}C_9

Now , the combination of 9 cards such that exactly 6 of them are  face cards =  ^{12}C_{6}\times^{40}C_3

Now , the probability that the hand contains exactly 6 face cards will be :-

\dfrac{^{12}C_{6}\times^{40}C_3}{^{52}C_9}

=\dfrac{\dfrac{12!}{6!6!}\times\dfrac{40!}{3!37!}}{\dfrac{52!}{9!\times43!}}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]\\\\=\dfrac{228}{91885}

Hence, the probability that the hand contains exactly 6 face cards. is  \dfrac{228}{91885} .

6 0
3 years ago
It takes 3/4 of an hour to paint 3/5 of a room. How long does it take to paint a room?
Dmitry [639]

Answer:

1 1/4 hours

Step-by-step explanation:

.75/.6=x/1

cross multiply

.75=.6x

divide by .6

x=1.25 hours

3 0
3 years ago
Mary estimated that it would take 3 hours to write a book report, but it actually took her 5 hours. What is the percent error fo
Eduardwww [97]

Answer:

The percent error is 40%.

Step-by-step explanation:

5 (actual time) - 3 (estimated time) = 2

2 divided by 5 (actual time) = 0.4

0.4 x 100 = 40%

6 0
3 years ago
Write an equation for the value of y in terms of x. Then solve the equation for x.
UkoKoshka [18]

Answer:

x=y-48, y=x+48

Step-by-step explanation:

3 0
3 years ago
Please help 30 points
Ulleksa [173]

Replace x and y with the given values:

2(1/8 + 4) - (3/16*8)

Use distributive property:

1/4 + 8 - (3/16 * 8)

Simplify to get final answer:

8 1/4 - 1 1/2 = 6 3/4

4 0
3 years ago
Read 2 more answers
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