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Stels [109]
3 years ago
7

Two cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of the

given event. (Round your answer to four decimal places.)
Two cards of the same suit are drawn.
Mathematics
2 answers:
Ne4ueva [31]3 years ago
6 0
The probability of drawing, say, two clubs is:
\frac{1}{4}\times\frac{12}{51}=0.058824
The probabilities of drawing two hearts, two spades or two diamonds is also 0.058824 for each event. The four events are mutually exclusive, therefore the probability of drawing two cards of the same suit is:
0.058824\times 4=0.2353
solmaris [256]3 years ago
4 0

There are 52 cards in a deck of cards. In the first try, the probability of getting any card is 1/52. In the second try, there are already 51 cards because there is no replacement, hence the probability on the second try is 1/51. Hence the probavility of the two events is 1/52*1/51 equal to  1/2652.
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While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
A B C D<br> WHICH ONE?<br> NEED HELP<br> AHHHHHHHHHH
svlad2 [7]
You were right already it’s A
5 0
3 years ago
Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9
Tems11 [23]

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides:

-3y = 21

Divide both sides by -3:

y = 21/-3

y = -7

Now you have X = -4 and y = -7

(-4,-7)

3 0
3 years ago
How many 1-centimeter squares fit along the length of the rectangle
Damm [24]
It would depend on how large the rectangle is
4 0
3 years ago
Help me answer 99 plz
Vitek1552 [10]
One tick behind one is 3/4, 1/8 is basically half of 1/4, so find 1/4 and find 1/8, 0 is sort of obvious but then not obvious. three ticks behind 3/4. 2 2/3, count UP from 1 1/4 to find 2 2/3. I really hope I helped! :)
5 0
3 years ago
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