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Black_prince [1.1K]
2 years ago
13

A card is drawn from a standard deck of 52 cards. What is the theoretical probability of drawing an Ace? (Hint: A standard deck

of cards has 4 aces.) P(Ace)
Mathematics
1 answer:
xxMikexx [17]2 years ago
7 0

Answer:

The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck. The odds of picking up any other card is therefore 52/52 - 4/52 = 48/52.

Step-by-step explanation:

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What are the solutions of x^2-2x+5=0
sweet [91]

The solution of x^{2}-2 x+5=0 are 1 + 2i and 1 – 2i

<u>Solution:</u>

Given, equation is x^{2}-2 x+5=0

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  --- (1)

<em><u>Let us determine the nature of roots:</u></em>

Here in x^{2}-2 x+5=0 a = 1 ; b = -2 ; c = 5

b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16

Since b^2 - 4ac < 0 , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}

On solving we get,

x=\frac{2 \pm \sqrt{4-20}}{2}

x=\frac{2 \pm \sqrt{-16}}{2}

x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}

we know that square root of -1 is "i" which is a complex number

\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0
2 years ago
I need help what are the steps to find a
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A2 +b2 = c2 are the steps to find your answer


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3 years ago
What is the area of this composite figure?
Valentin [98]
135 centimeters squared
6 0
3 years ago
Read 2 more answers
Which expression can be used to find 532 divided by 4?
user100 [1]

C: (500 divided by 4)+(30 divided by 4)+2

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression. 532 ÷ 4 in expanded notation form is (500 divided by 4)+(30 divided by 4)+2

4 0
1 year ago
Steven paid 15% down on a car. His down payment was $2,100. How much does he still owe on the car?
My name is Ann [436]

Answer:

315

Step-by-step explanation:

because 15% of 2,100 is 315

3 0
2 years ago
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