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Dominik [7]
3 years ago
5

Two cards are chosen from a standard deck of 52 playing cards without replacement. What is the probability that the first card i

s an ace and the second is a king?
A. 1/169
B.1/221
C.4/663
D.103/663
Mathematics
1 answer:
Rashid [163]3 years ago
6 0

For the first draw, the probability of an ace is ( 4 / 52 ).

Now there are only 51 cards left in the deck.

For the second draw, the probability of a king is  ( 4 / 51 ).

The probability of both events is

(4/52) (4/41) = (16/2,652)

Divide top and bottom by 4:

(16/2,652) = <em>4/663</em> .  That's <em>choice-C </em>.

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Juanita is a basketball player who makes
Sedaia [141]

Answer: Juanita shoots a series 5 free-throws. Let M = the number of free-throws she makes.

Step-by-step explanation: Khan

6 0
2 years ago
A rectangle is 3 feet longer than it is wide . if the perimeter is 30 feet , find the area in square feet .
noname [10]

Answer:

Hey

Step-by-step explanation:

I beleve you answer is 10 because 3 time 10 equals 30 and the question sais "3 times longer"

5 0
3 years ago
leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a
Georgia [21]
The answer is x =  \frac{-7+ \sqrt{193} }{4}.

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is A = \frac{a*h}{2}, where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula A =  \frac{a*h}{2}:
36 =  \frac{(2x+3)(3x+6)}{2}
⇒ 36*2=6 x^{2} +12x+9x+18
72=6 x^{2} +21x+18

Let's both sides divide by 3:
24=2 x^{2} +7x+6
⇒ 2 x^{2} +7x-18=0

This is the quadratic formula (a x^{2} +bx+c=0) for which
x =  \frac{-b+\sqrt{b^{2} -4ac} }{2a} or
<span>x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}.
</span>We will use only <span>x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}, because the length cannot have negative value.</span>


<span>From the equation 2 x^{2} +7x-18=0, we know that
</span>a = 2
b = 7
c = -18

Thus, <span> x = \frac{-7+ \sqrt{193} }{4}:
</span>x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}

4 0
3 years ago
How to solve it and why
RideAnS [48]
6.

4x^2 + 4 = 0

Divide both sides by 4

x^2 + 1 = 0

Use the quadratic formula since this cannot be factored.

x = (-b +- sqrt(b^2 - 4ac))/(2a)

x = +- sqrt(-4(1)(1))/2

x = +- sqrt(-4)/2

x = +- 2i/2

x = +- i

x = i or x = -i

Quicker solution:

If you have x^2 = number, then

x = +- sqrt(number)

Once you get to

x^2 + 1 = 0

Subtract 1 from both sides

x^2 = -1

Apply the quick method

x = +- sqrt(-1)

x = +- i

8.

2x^2 + 50 = 0

Divide both sides by 2

x^2 + 25 = 0

Subtract 25 from both sides

x^2 = -25

Apply quick method

x = +- sqrt(25)

x = +- 5i

x = 5i or x = -5i
3 0
3 years ago
Seven years from now the age (a) of Jose will be __________. Which expression matches this situation? A) 7a
Vladimir79 [104]
I believe the answer is C. 
Sorry if I'm wrong but I hope this helps.
4 0
3 years ago
Read 2 more answers
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