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Georgia [21]
3 years ago
13

Draw 2 cards from a standard deck of 52 cards. What is the probability that the first card is a queen and the second card is a k

ing?
Mathematics
1 answer:
bixtya [17]3 years ago
3 0

Answer:

4/663

Step-by-step explanation:

There are four queens.  The probability that the first card is a queen is 4/52.

There are four kings.  There are 51 cards left after the first card has been drawn, so the probability that the second card is a king is 4/51.

Therefore, the probability that the first card is a queen AND the second card is a king is:

P = 4/52 × 4/51

P = 4/663

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What is the lateral area of the drawing?
katrin2010 [14]

The lateral area of the shape is the sum of the area of all lateral faces.

The area of the lateral face that is rectangle with sides 5 mi and 2 mi is

A=5\cdot 2=10\ mi^2.

As you can see the shape has all four lateral faces of the same rectangular form with the same sides lengths, therefore,

LA=4A=4\cdot 10=40\ mi^2.

Answer: correct choice is B.

8 0
4 years ago
Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3, 1)
elixir [45]

Given:

The two points are (-5,8) and (-3,1).

To find:

The distance between the given two points in simplest radical form.

Solution:

Distance formula: The distance between two points is

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, the distance between (-5,8) and (-3,1) is

d=\sqrt{(-3-(-5))^2+(1-8)^2}

d=\sqrt{(-3+5)^2+(-7)^2}

d=\sqrt{(2)^2+(-7)^2}

d=\sqrt{4+49}

d=\sqrt{53}

Therefore, the distance between two points (-5,8) and (-3,1) is \sqrt{53} units.

3 0
3 years ago
The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
d1i1m1o1n [39]

Answer:

The following points are not arranged in a parallelogram or rectangle order.

Step-by-step explanation:

Well first we need to graph the following.

A(1,1) B(2,2) C(3,3) D(4,4)

By looking at the image below we can tell it is not any shape, it’s not a parallelogram or a rectangle.

It is a line with a slope of 1 or x.

8 0
3 years ago
Determine the slope and y-intercept of the line: y=-4x
lapo4ka [179]
Equation y=-4x
m=-4. Slope is -4 y-intercept is 0

y-12=2(x-1)
y-12=2x-2
y=2x-2+12
y=2x+10
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=x%20-%206%3D%20-55" id="TexFormula1" title="x - 6= -55" alt="x - 6= -55" align="absmiddle" cla
Helga [31]

Answer:

<h2>x = -49</h2>

Step-by-step explanation:

x - 6 = -55      <em>add 6 to both sides</em>

x - 6 + 6 = -55 + 6

x = -49

5 0
3 years ago
Read 2 more answers
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