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Nookie1986 [14]
3 years ago
5

A standard deck of playing cards contains 52 cards, equally divided among four suits(hearts, diamonds, clubs, and spades). Each

suit has the cards 2 through 10, as well as a jack, a queen, a kind, and an ace.
If the 3 of spades card is drawn from a standard deck and is not replaced, what is the probability that the next card drawn is a spade OR a kind?


A) \frac{1}{17}

B) \frac{16}{51}

C) \frac{4}{17}

D) \frac{5}{17}
Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer:

4/17

Step-by-step explanation:

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Please help!!! Will give brainly!! 50 points. No wrong answers!!
Mrac [35]

The three little lines through the sides of the triangle mean all three sides are equal. Because all three sides are equal the three inside angles would aso be equal.


The three angles of a triangle need to equal 180, so we can divide 180 by 3 to find what each angle is:

180 / 3 = 60.


Now we can set the equation with x in it to equal 60:


7x +4 = 60

Subtract 4 from each side:

7x = 56

Divide each side by 7:

x = 56 / 7

x = 8



5 0
3 years ago
6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. (((
Dmitrij [34]

Answer:

<h3>The missing value in the given solution is x=6</h3><h3>Therefore the solution is (6,-4)</h3>

Step-by-step explanation:

Given equation is 6x+7y=4x+4y\hfill (1)

<h3>To find the missing value in the solution to the equation :</h3>
  • Let missing value in the solution be x
  • Then the solution of the given equation is (x,-4)

Substitute the value of y=-4 in the given equation (1) we get

6x+7(-4)=4x+4(-4)

6x-28=4x-16

6x-28-(4x-16)=4x-16-(4x-16)

6x-28-4x+16=4x-16-4x+16 ( adding the like terms )

2x-12=0

2x=12

x=\frac{12}{2}

Therefore x=6

<h3>Therefore the missing value in the given solution is x=6</h3><h3>Therefore the solution is (6,-4)</h3>

8 0
3 years ago
What is the GCF of the numerator &amp; denominator below?<br><br> (x-2)(x+3)/x^2+4x+3
Ganezh [65]

Answer:

Step-by-step explanation:

Factorize the denominator

Sum = 4

Product = 3

Factors = 1 , 3    {1*3 = 3 and  1+3 = 4}

x² + 4x + 3 = <u>x² + x</u>    + <u>3x + 1*3</u>

                 = x(x + 1) + 3(x + 1)

                 = (x + 1)(x + 3)

GCF of the numerator and denominator = (x + 3)

6 0
3 years ago
Read 2 more answers
4. Phil bought a block of cheese in the shape of a triangular prism measuring 8 inches by 4 inches by 2 inches. What is the volu
makkiz [27]

Answer:

32 inches^3

Step-by-step explanation:

Volume = 1/2 ( base x height x length)

0.5 ( 4 x 2 x 8) = 32 inches^3

6 0
3 years ago
R is inversely proportional to A.
hjlf

Here are the answer: a) R = 3.6 and b) A = 2

Step-by-step explanation:

Given,

R is inversely proportional to A.

R ∝ \frac{1}{A}

so, R = \frac{k}{A}  -------eq 1 where k is any constant

To find the values of a) R when A = 5 and

b) Value of A when R = 9

Now,

Putting R = 12 and A = 1.5 in eq 1 we get,

12 = \frac{k}{1.5}

or, k = 12×1.5 = 18

From eq 1 we get,

R = \frac{18}{A} --------- eq 2

Now,

a) Putting A= 5 in eq 2 we get,

R = \frac{18}{5} = 3.6

b)  Putting R = 9 in eq 2 we get

R = \frac{18}{A}

or, A = \frac{18}{9} = 2

5 0
3 years ago
Read 2 more answers
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