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irga5000 [103]
4 years ago
12

Two cards are drawn from a well-shuffled deck of 52 playing cards. Let X denote the number of aces drawn. Find P(X = 1). Round y

our answer to three decimal places.
Mathematics
1 answer:
photoshop1234 [79]4 years ago
6 0
The answer is 0.071.

The chances of drawing an ace in the first draw is 4/52. The chances of not drawing an ace in the second draw is 48/52. The chances of getting only one ace in the two draws can be solves using this equation:
P(X=1) = (4/52) * (48/52)
            = 192/2704
           = 0.0710059 or <span>0.071
</span>

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

<span> </span>

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Complete the table. Explain why the relationship is a proportional relationship. A cashier earns $8 per hour. Time (h) 2 4 Pay (
Alekssandra [29.7K]

Answer:

8  16  24  32  <u>40</u>  48  56  64  <u>72</u>

1   2     3    4    <u>5</u>    6    7     8    <u>9</u>

Step-by-step explanation:

The proportion is 8:1

When the dollar amounts increase by 8, the hour amounts increase by 1, and vice versa. That is why it is a proportion.

6 0
4 years ago
If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0
3 years ago
1/2x + 3y=4 for x when x = 6
Kipish [7]
Wouldn't it be y=1/3?
6 0
3 years ago
Read 2 more answers
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Explanation:

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<em>Discussion</em>

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