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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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A ball is launched at 30 meters per second (m/s) from a 20-meter tall platform. The equation for the object's height s at time t
Juliette [100K]

The maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

<h3>maximum height the ball reaches</h3>

The maximum height the ball reaches is calculated as follows;

s(t) = -4.9t² + 30t + 20

at maximum height, final velocity = 0

v = 0

ds/dt = -9.8t + 30 = 0

9.8t = 30

t = 30/9.8

t = 3.06 seconds

s(3.06) = -4.9(3.06)²  + 30(3.06)  + 20

s(3.06) = 65.92 m

Thus, the time taken for the ball to reach the maximum height is 3.06 seconds.

<h3>Time of flight of the ball</h3>

The time taken for the ball to hit is the total time of flight = 2 x 3.06 seconds = 6.12 seconds.

Thus, the maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

Learn more about maximum height here: brainly.com/question/12446886

#SPJ1

4 0
2 years ago
Object A has a mass of 12 g and a volume of 8 cm3. Object B has a mass of 20 g and a volume of 8 cm3. Which object has a greater
Andreyy89

Answer:

Obj B, by 1 g/cm^3

Step-by-step explanation:

Obj A = 12g / 8cm^3 = 3g / 2cm^3 = 1.5 g/cm^3

Obj B = 20g / 8cm^3 = 5g / 2cm^3 = 2.5 g/cm^3

2.5 - 1.5 = 1 g/cm^3

4 0
3 years ago
The point G(6,4) is rotated 180° clockwise around the origin. What
siniylev [52]

Answer:

Step-by-step explanation:

when (x,y) is rotated through 180 then new coordinates are (-x',-y')

G(6,4)→G'(-6,-4)

5 0
3 years ago
I need your help please I don’t understand this
Step2247 [10]
The answer is y = -5/7x + 4/7! The first step is to subtract the 5x so it’s on the other side of the equal sign. So now the equation is 7y = -5x + 4. Then divide each of them for 7
3 0
3 years ago
Read 2 more answers
How to solve this triangle ABC?<br>i did super wrong all :( who can help me please?
Alex73 [517]

It looks like you had some of the numbers correct, but you just labeled it and rounded it incorrectly, and the teacher gave you super partial credit for it.  

For my work, I'm assuming that side A is opposite of angle A and side B is opposite of angle B, etc...



5 0
3 years ago
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