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vredina [299]
3 years ago
11

Use the method of your choice to determine the probability below. Being dealt three sixes off the top of a standard deck of well

-shuffled cards. The probability is . (Type an integer or a simplified fraction.)
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
8 0

Answer:

1/5525

Step-by-step explanation:

We now that a standard deck has 52 different cards. Also we know that a standard deck has four different suits, i.e., Spades, Hearts, Diamonds and Clubs.  We can find the following cards for each suit: Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen and King.

Now, the probability of getting any of these cards off the top of a standard deck of well-shuffled cards is 1/52. As we have 4 different sixes, we have that the probability of getting a six is 4/52. When we get a six, in the deck only remains 3 sixes and 51 cards, so, the probability of getting another six later is 3/51. When we get the second six, in the deck only remains 2 sixes and 50 cards, so, the probability of getting the third six is 2/50. As we have independet events, we should have that the probability of getting 3 sixes off the top of a standard deck of well-shuffled cards is

(4/52)(3/51)(2/50)=

24/132600=

12/66300=

6/33150=

3/16575=

1/5525

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Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to a
Illusion [34]

Answer:

Option A, Shannon paid $ 7 per hour to labor than Joni

Step-by-step explanation:

Total amount paid by Shannon = $339.50

Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)

Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5

Total cost of 1 hours of labor paid by Shannon  $65 per hour

Total amount paid by Joni = $455

Total cost of 2.5 hours of labor paid by Joni =  $455- $$310

Total cost of 1 hours of labor paid by Joni = $145/2.5

Total cost of 1 hours of labor paid by Joni = $ 58

Hence, Shannon paid $ 7 per hour to labor than Joni

Option A is correct

8 0
3 years ago
Which number sentence is true? A. –2.0 + (–0.5) = 2.5 B. –4.5 + 6.5 = –2.0 C. 3.0 + (–0.5) = –2.5 D. 5.5 + (–2.5) = 3.0
Soloha48 [4]
<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The correct number sentence is D. 5.5 + (-2.5) = 3.0

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
3 years ago
Read 2 more answers
Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)
sleet_krkn [62]

Answer:

g(f(2)+3)=30

Step-by-step explanation:

We have the two functions:

g(t)=t^2-t\text{ and } f(x)=1+x

And we wish to find:

g(f(2)+3)

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

f(2)=1+(2)=3

Hence, we can now substitute 3 for f(2):

g(f(2)+3)=g(3+3)=g(6)

Now, we can find g(6). Substitute 6 for t for g(t):

g(6)=(6)^2-(6)=36-6=30

Therefore:

g(f(2)+3)=30

4 0
3 years ago
Plsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss help
Lunna [17]

Answer:

37.68cm

Step-by-step explanation:

C = 2 \pi r

C = circumference

\pi = the constant pi (3.14)

r = radius of the circle (6cm)

d      =      diameter of the circle (12cm)

d = 2r

C = 2 · 3.14 · 6

C = 37.68cm

8 0
3 years ago
The perimeters of similar triangles are in the same ratio as the corresponding sides
wariber [46]

Answer:

Always

Step-by-step explanation:

Suppose you have triangle ABC with side lengths a, b, c. Suppose that is similar to triangle DEF with side lengths d, e, f.

Now, let k be the ratio of corresponding sides ...

  k = d/a

Because the same factor applies to all sides, we also have ...

  k = e/b = f/c

That is, if we multiply by the denominators of each of these fractions, we get ...

  • d = a·k
  • e =b·k
  • f = c·k

The perimeter of ΔABC is ...

   perimeter(ABC) = a + b + c

The perimeter of ΔDEF is ...

  perimeter(DEF) = d + e + f = a·k + b·k + c·k

  perimeter(DEF) = k(a + b + c) = k·perimeter(ABC)

  k = perimeter(DEF)/perimeter(ABC)

That is, the perimeters are in the same ratio as corresponding sides.

3 0
3 years ago
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