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alexandr402 [8]
3 years ago
12

A card is drawn at random from a well-shuffled deck of 52 cards. what is the probability of drawing a face card or a spade?​

Mathematics
2 answers:
Yuliya22 [10]3 years ago
6 0

Answer:

2/5 or 2:5

Step-by-step explanation:

Face Card:

The face cards in a deck are the Jack, Queen, and King. There are 4 of each card (1 in each suit), for a total of 12 face cards.

Spade:

1/4 of all the cards in a deck are spades, so 52/4= 13 spades.

When added, the numerator of the probability is 25, however, because the Jack, Queen, and King of Spades are duplicated, we have to subtract 3.

25-3=22

22/55

when simplified: 2/5

irakobra [83]3 years ago
4 0

ANSWER:

There are 52 cards in total.

Hence, total Outcomes =52

Probability of the card drawn is a card of spade or a face card:

Total cards of Spade = 13

Total face card = 12

Number of face card of Spade = 3

Therefore,

Probability of the card drawn is a card of spade or a face card:

\sf\frac{13}{52}  +  \frac{12}{52}  -  \frac{3}{52}

\sf\frac{13 + 12 - 3}{52}

\sf\frac{\cancel{22}}{\cancel{52}}  =  \frac{11}{26}.

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Factor the following problems<br><br> -13=-4a-2b+c<br> 3=4a+2b+c<br> 5=16a+4b+c<br><br> Please Help!
Pie
1) -13 = -4a - 2b + c
 -13 = -2(2a + b) + c

2) 3 = 4a + 2b +c
  3 = 2(2a + b) + c

3) 5 = 16a + 4b + c
5 = 4(4a + b) + c

[ Final Answers are in bold ]

Hope this helps!
8 0
3 years ago
How do you solve #10
IgorLugansk [536]
LINEAR \: \: EQUATIONS \\ \\ \\ Given \: expression \: \: - \: \\ \\ \frac{7}{3} (2x + 3) + \frac{3}{4} ( \frac{x}{5} - \frac{15}{2} ) = \frac{11}{8} \\ \\ \frac{14x}{3} + \frac{21}{3} + \frac{3x}{20} - \frac{45}{8} = \frac{11}{8} \\ \\ \frac{14x}{3} + \frac{3x}{20} + \frac{21}{3} - \frac{45}{8} = \frac{11}{8} \\ \\ \frac{289x}{60} = \frac{11}{8} + \frac{45}{8} - \frac{21}{3} \\ \\ \frac{289x}{60} = \frac{56}{8} - \frac{21}{3} \\ \\ \frac{289x}{60} = 7 - 7 = 0 \\ \\ \frac{289x}{60} = 0 \\ \\ \\ \: \: \: \:|| \: \: \: x = 0 \: \: \:|| \: \: \: \: \: \: \: \: \: \: \: \: \: Ans.
3 0
3 years ago
Students in Mrs. Walsh's math class wanted to know the favorite snacks of students in the school. How could they generate a rand
denis23 [38]
There are several ways this can be accomplished.  Students could survey every 20 students until they've asked 100 students, or they could ask 1 or 2 people at each cafeteria table during each lunch, just for examples.
8 0
4 years ago
In the accompanying diagram. altitude CD is
Bogdan [553]

Answer:  √117

Step-by-step explanation:

Since no diagram present, am assuming hypotenuse AB and right angle C.  Let side opp angle B be b, and side opposite angle A be a. Altitude CD is x.

a^2 + b^2 = 22^2 (Pythagorean)

Using Pythag on two smaller triangles,

x^2 + 13^2 = a^2

x^2 + 9^2 = b^2

Substituting in first equation,

x^2 + 13^2 + x^2 + 9^2 = 22^2

x^2 = 117, so x = √117

7 0
3 years ago
Solve for x.<br><br> 12 = x + 3 X=_____
alexandr1967 [171]

For this case we must find the value of the variable "x" of the following equation:

12 = x + 3

So, we follow the steps:

Subtracting 3 from both sides of the equation we have:

12-3=x+3-3

Different signs are subtracted and the sign of the major is placed:

9 = x\\x = 9

Thus, the value of x is 9.

Answer:

x = 9

5 0
3 years ago
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