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slava [35]
3 years ago
13

A standard deck of playing cards has 52 cards: 13 spades, 13 clubs, 13 hearts, and 13 diamonds. What is the probability of drawi

ng a spade from a standard 52-card deck, replacing it, and then drawing another spade? Show your work or explain how you got your answer.
Mathematics
1 answer:
cestrela7 [59]3 years ago
5 0

13/ 52 = 1/4 chances.

There are 13 spades and 52 cards. You divide the spades and cards in the deck to find your chances of drawing one.

You have a 25% chance of getting a spade.

Now you put it back. Since you put it back, you still have the same number of cards and the same number of spades. So when you divide 13/52 again, the numbers are still the same. 1/4. 25% chance.

So, you still have a 25% chance the second time around.

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I don't understand???? I'll give the brainliest!!!!!
olasank [31]

Answer:

<h2>37</h2>

Option A is the correct option.

Step-by-step explanation:

{a}^{2}  +  {b}^{2}  - 2ab \:  \cos \: c \:  =  {c}^{2}  \\ a = 4 \\ b = 5 \\ c = 2 \\  \\ 2ab \: cos \: c =  {a}^{2}  +  {b}^{2}  -  {c}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  =  {(4)}^{2}  +  {(5)}^{2}  -  {(2)}^{2}  \\  \:  \:  \:  \:  \:  \:  \:  \:  = 16 + 25 - 4 \\  \:  \:  \:  \:  \:  \:  = 41 - 4 \\  \:  \:  \:  \:  \:  \:   = 37

Hope this helps...

Good luck on your assignment...

6 0
3 years ago
How do you simplify odd fractions?
gtnhenbr [62]

Answer:

Step-by-step explanation:

How do you simplify fractions with odd numbers? Find the greatest common factor of both the numerator and denominator. Divide the numerator by the GCF. The result will be the simplified numerator.

7 0
3 years ago
220 is 95.3% of what number?
Elis [28]
To get the answer we can use proportion
220 ----------------95.3%
x -------------------100%
Crossmultiply now
220*100%=95.3%*x
22000=95.3x                 /:95.3
22000:95.3=x
231=x - its the answer
3 0
3 years ago
Read 2 more answers
Solve this equation! Please Help!<br><br> √3 x 66.15/4.41<br><br> (SHOW YOUR WORK)
finlep [7]
Hi Jessica,
<span>Remember PEMDAS (Parenthesis, Exponents, Multiplication & Division, Addition & Subtraction).

√3 x 66.15/4.41 {Exponents/Cube & Square Roots First}

1.73 x 66.15 ÷ 4.41 {Multiplication}

114.4395 ÷ 4.41 {Division}

25.95 {Final Answer}

Cheers,
Izzy</span>
7 0
2 years ago
Adam is building a computer desk with a separate compartment for the computer. The compartment for the computer is a rectangular
Alik [6]

Answer:

The width of the computer compartment is 9 inches

The length of the computer compartment is 33 inches

The height of the computer compartment is 27 inches

Step-by-step explanation:

The given data on the rectangular prism compartment are;

The volume of the rectangular prism, V = 8019 cubic inches

The length of the compartment, l = 24 inches + The width, w

The height of the compartment, h = 18 inches + The width, w

Therefore, we have;

l = 24 + w

h = 18 + w

V = l × h × w

∴ V = (24 + w) × (18 + w) × w = w³ + 42·w² + 432·w = 8019

w³ + 42·w² + 432·w - 8019 = 0

By graphing the above function with MS Excel, we have one of the solution is w = 9

∴ (w - 9) is a factor of w³ + 42·w² + 432·w - 8019 = 0

Dividing, we get;

w² + 51·w + 891

w³ + 42·w² + 432·w - 8019 = 0

w³ - 9·w²

     51·w² - 459·w

                 891·w

                 891·w + 8019

                             0

Therefore,

w³ + 42·w² + 432·w - 8019 = 0

w³ + 42·w² + 432·w - 8019  = (x - 9)·(w² + 51·w + 891) = 0

The determinant of the factor, w² + 51·w + 891 = 51² - 4×1×891 = -963, therefore, the it has complex roots

Therefore, the real solution of (x - 9)·(w² + 51·w + 891) = 0 is w = 9

The width of the computer compartment, w = 9 inches

The length of the computer compartment, l = 24 inches + 9 inches = 33 inches

The height of the computer compartment, h = 18 inches + 9 inches = 27 inches.

3 0
3 years ago
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