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CaHeK987 [17]
3 years ago
11

3

Mathematics
1 answer:
aalyn [17]3 years ago
3 0

Answer:

1234567 -1-2-3-4-5-6-7

Step-by-step explanation:

the line is in there ithink its help

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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
Using Descarte's Rule of Signs, which are possible combinations of zeros for f(x)=2x4−8x3+12x2−16x+10?
zaharov [31]
There can be 4 or 1 possible combinations of zeros
3 0
3 years ago
What value should be added to make a perfect square? x^2+16x<br> a. 4<br> b. 8<br> c. 16<br> d. 64
Likurg_2 [28]

Answer:

d. 64

Step-by-step explanation:

x^2+16x

The coefficient of the x term is 16

Divide by 2

16/2 =8

Then square it

8^2 = 64

We add 64

x^2 +16x +64

(x+8)^2

3 0
3 years ago
Read 2 more answers
Find the solution set for 8x - 3 = 2(x - 1/2)​
KiRa [710]

Answer:

x = 1/3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

8x - 3 = 2(x - 1/2)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distributive 2:                              8x - 3 = 2x - 1
  2. Subtract 2x on both sides:         6x - 3 = -1
  3. Add 3 to both sides:                   6x = 2
  4. Divide 6 on both sides:              x = 1/3
4 0
3 years ago
HELP THIS IS DUE SOON MATH
Yakvenalex [24]

Answer: the answer is x= -11.

3 0
3 years ago
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