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Colt1911 [192]
3 years ago
13

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card

nor a queen.
Mathematics
1 answer:
Reil [10]3 years ago
8 0
Number of red cards including 2 red queens = 26
Number of black queens = 2
Therefore, number of red cards including 2 red queens and 2 black queens = 26 + 2 = 28
Number of cards neither a red card nor a queen = 52 - 28 = 24

P  =  \frac{ Number \: of \: favourable \: outcomes}{ Total \: numer \: of \: possible \: outcomes}

P (neither \: a \: red \: nor \: a \: queen \: card \: ) =  \frac{24}{52}  =  \frac{6}{13}
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We form a committee of 8 people, to be chosen from 15 women and 12 men. (a) How many possible committee can be formed
eimsori [14]

Using the combination formula, it is found that 2,220,075 committees can be formed.

The order in which the people are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 8 people are chosen from a set of 12 + 15 = 27, hence:

C_{27,8} = \frac{27!}{8!19!} = 2220075

2,220,075 committees can be formed.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700

3 0
2 years ago
Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house. What was the total distanc
Makovka662 [10]

Answer:

Option D is correct.

75 miles is the total distance in miles to Kirk's grandmother's house

Step-by-step explanation:

Let x represents the total distance in miles to Kirk's grandmother's house.

As per the statement:

Kirk's family drove 36 miles in 50 minutes, which was 48% of the distance to his grandmother's house

⇒ Distance Kirk's family drove = 36 miles.

then;

36 = 48% of x

36 = \frac{48}{100}x

Multiply both sides by 100 we get;

3600 = 48x

Divide both sides by 48 we have;

75 miles = x

Therefore, the total distance in miles to Kirk's grandmother's house is 75 miles

4 0
3 years ago
Read 2 more answers
4x−2y=14 y=12x−1 solve by substitution
Tatiana [17]

Answer:

x= -3/5

Step-by-step explanation:

4x-2y=14

y=12x-1

4x-2(12x-1)=14

4x-24x+2=14

4x-24x=12

-20x=12

×= -12/20

x= -3/5

8 0
3 years ago
What number are listed in the stem and leaf plot above
Paul [167]
The numbers listed are:

3, 3 ,3 ,7 ,8 ,8 ,11 ,11 ,13 ,14 ,15 ,17, 18, 19, 21, 23, 23 ,25,27, 28, and 29.
3 0
3 years ago
The formulas for power and work are P=w/t and W=Fd , where P is the power, W is the work done, t is the time, F is the force, an
kolbaska11 [484]
Power=work/time

Fd/t=P

Pt/F=d

therefore, the answer is A
4 0
3 years ago
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