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Alexus [3.1K]
4 years ago
14

You draw two cards from a standard deck of 52 cards. What is the probability of drawing a queen and then a king consecutively fr

om the deck without replacement?
Mathematics
2 answers:
Orlov [11]4 years ago
8 0

Answer: D

Step-by-step explanation:

Gelneren [198K]4 years ago
3 0

Answer:

4/663

Step-by-step explanation:

There are 4 queens and 4 kings in a deck. Drawing a queen would be 4/52. Drawing a king afterwards with replacing the queen would be 4/51 because you took a queen but didn't replace that one queen card so the deck has only 51 cards left after you drew the queen. Drawing a queen would not affect your chance of drawing a king card, it will only affect the total number of cards left because you didn't replace the card afterwards. 4*4=16;52*51=2652. 16/2652 can be simplified to 4/663 by dividing 4 to both numbers. 16/4=4 and 2652/4=663. The probability of drawing a queen then a king without replacement would be 4/663.

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What is the equation of the axis of symmetry of the parabola y=-2x^2+8x-7?<br> x=.....
guapka [62]

Answer:

Equation of axis of symmetry is x = 2

Step-by-step explanation:

The equation of the parabola is given as;

y = -2x² + 8x - 7

The equation of the axis of symmetry is given by;

x = -b/2a

In the parabola equation given and using letters of quadratic equation, we can say that;

a = - 2

b = 8.

c = -7

Thus;

x = -b/2a = -8/(2 × - 2)

x = 8/4

x = 2

Equation of axis of symmetry is x = 2

4 0
3 years ago
Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
Read 2 more answers
30 points!<br> You start at (-2, 2). You move left 3 units and right 10 units. Where do you end?
Cerrena [4.2K]

Answer:

The answer is (5, 2)

Step-by-step explanation:

I. If move left = -x

    move right = +x

  So -2 - 3 =  -5 => move left

        -5 + 10 = 5 => move right

I suggest that move left and right is x cordinate

The answer is (5,2)

Is that correct?

7 0
3 years ago
James has a model helicopter. The model is 8 inches long and 7 inches wide. The actual helicopter is 56 inches long. What is the
Dominik [7]
56/8=7. so we multiply 7 by 7.7*7=49; the helicopter is 49 in. wide
4 0
3 years ago
Use the graph to determine
Sonja [21]

Answer:

a. Domain : All Real Numbers

b. Range: y≥ -1

c. The x-intercepts are (0,0) and (-4,0)

d. The y-intercept is (0,0).

e. f(2)=3

   f(-2)=-1

Step-by-step explanation:

If this has helped you please mark as brainliest

3 0
3 years ago
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