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NeX [460]
1 year ago
5

Three cards are drawn at random from a standard deck of cards, without replacement. Find the probability that the suits of the c

ards are spades, hearts, spades, in that order.
Mathematics
1 answer:
Evgesh-ka [11]1 year ago
8 0

The probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

According to the give question.

Three cards are drawn from a standard deck of cards without replacement.

Since,

The total number of cards in a standard deck = 52

Total number of spade cards = 13

Total number of heart cards = 13

Now,

The probabbility of getting first card as a spade card = 13/52 = 1/4

The probability of getting second card as heart card

= 13/(52 -1)     (cards are drawn without replacement)

= 13/51

The probability of getting third card as a spade card

= (13 - 1)/52 -2

= 12/50

= 6/25

Therefore, the probability that suits of the cards are spades, hearts, spades

= 1/4 × 13/51 × 6/25

= 39/850

= 0.046

Hence, the probability that suits of cards are spades, hearts, and spades is 39/850 or 0.046.

Find out more information about probability here:

brainly.com/question/11234923

#SPJ4

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Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and roun
notka56 [123]

Answer:

1,177.5

Step-by-step explanation:

I have not done this is a while but the formula is v = 3.14 r^2 h

so 3.14 x 5^2 x 15

then 3.14 x 25 x 15

lastly multiply it all to get 1,177.5

Hope this helps <3

3 0
2 years ago
Find the distance between the points (7, 6) and (7, -4).
frutty [35]

Answer:

If I'm correct it is 10.

Step-by-step explanation:

The distance was 10 ;-;.

Tip: use desmos for this

4 0
3 years ago
Question is in attached file
Nonamiya [84]

The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The distance traveled by passenger train = 245 miles

The distance traveled by freight train = 245 miles

The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

5 0
1 year ago
Can someone help me with this
trasher [3.6K]

Answer:

Angle 3 is 65°, Angle 8 is 115°

Step-by-step explanation:

Angle 3 and 1- Linear Pair

Angle 8 and 1- Alternate Exterior

7 0
3 years ago
10 = 43 – |17p + 12|
Kaylis [27]

10=43–|17p+12|

You won't use the absolute sign here. Since you cannot add variable to number AND there are no negatives.

10=43–|17p+12|

10=43–17p+12

Add 12 to 43.

10=43–17p+12

10=55-17p

Add 17p on both sides.

10=55-17p

17p+10=55

Subtract 10 from both sides.

17p+10=55

17p=45.

Therefore, the answer is p=2.64705882353.

7 0
2 years ago
Read 2 more answers
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