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Softa [21]
2 years ago
10

Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face

cards in the hand is (Q
Mathematics
1 answer:
zzz [600]2 years ago
8 0

Answer:

2 face cards

Step-by-step explanation:

By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards.  Aces are not considered face cards (no face on the card).

The ratio of face cards in a full deck is (12/52) or slightly over 23%.

The likelihood of a face card in a hand of 8 cards is:

(8 cards)*(12 face cards/52 cards) = 1.85 cards.  We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.  

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CAN SOMEONE PLEASE HELP ME WITH THESE!!!
Darya [45]

Answer:

for the first pic

1=133

2=47

3=47

4=133

5=133

6=47

7=47

8=133

the next pic

2,3 is a corresponding angle

1,2 is a verticle angle

the third pic

1=153

2=27

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A marching band is performing in a rectangular arrangement, with a width of $w$ people. The length consists of seven less people
Norma-Jean [14]

Answer:

There are 120 people in the marching band.

Step-by-step explanation:

Let no. of people in the band be x.

In the first rectangular arrangement,

Width of rectangle (w_{1}) = w people.

Length of rectangle (l_{1}) = (w-7) people

Therefore,

no. of people in the band(x) = Area of the rectangle = Product of width and Length

x = width \times length

x = w\times (w-7)  (equation 1);

In the second rectangular arrangement,

Width of rectangle (w_{2}) = (w-3) people.

Length of rectangle (l_{2}) = (w-5) people

Therefore,

no. of people in the band(x) = Area of the rectangle = Product of width and Length

x = width \times length

x = (w-3)\times(w-5)  (equation 2);

Therefore, from equation 1 and equation 2 , we get,

w\times(w-7)=(w-3)\times(w-5)

w^{2}-7w=w^{2} - 8w + 15

Therefore,

w = 15  (equation 3)

From equation 1 and equation 3, we get

x = 15\times(15-7)

x = 120.

Therefore,

no. of people in the marching band = 120 people

8 0
3 years ago
A person drove from 8 am Tuesday to 5 pm Wednesday. Total drive 396 miles. He have lunch for 30 minutes on Tuesday and sleep ove
777dan777 [17]

Answer: 18mph

Step-by-step explanation:

Given data

total distance driven = 396 miles

time driven = 8 am Tuesday to 5 pm Wednesday

total time driven in hours = 33 hours

lunch break time = 30 min Tuesday  + 30 min Wednesday

= 60 min

= 1 hour

sleep time = 7 pm Tuesday to  5 am Wednesday

= 10 hours

solution:

To find the average speed,

we are given total time driven = 33hrs.

lunch + rest time = 10hrs + 1hr

= 11hrs

total time travelled =drive time - rest + lunch time

= 33 - 11

= 22hrs

therefore;

average speed = distance / time traveled.

average speed = 396 / 22

average speed = 18 mph

6 0
3 years ago
A number cube has sides that are labeled 1 to 6. Jamal rolls the number cube. What is the probability that he will roll a 22?
Tems11 [23]

-- The probability of rolling a 22 is zero.  That result is impossible, because the sides are labeled with single digits 1 through 6 .  Since 22 is not printed anywhere on the cube, it can never come up.

-- The probability of rolling a<em> 2</em> , however, is <em> 1/6</em> . <em>(B)</em>

<em></em>

The -probability of rolling something you want is always

<em>(the number of different possible results that you like) </em>

divided by

<em>(the total number of different possible results)</em>

4 0
3 years ago
Determine whether this situation is linear or nonlinear? Explain your reasoning
jenyasd209 [6]
You didn't describe the situation so I can't answer.
However: if the graph of the situation is a straight line then the situation is linear, and if the graph is not a straight line then it is nonlinear.
8 0
3 years ago
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