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3 years ago

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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balandron [24]

Answer:

507

Step-by-step explanation:

As they said, I will be using 3 as pi.

$3$ (pi) $* (\frac{26}{2})^2$ (radius squared)

Without annotations: $3*\frac{26}{2}^2$

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2 years ago

Use long division to convert the rational number 1/4 to its equivalent decimal form. In your final answer, include all of your w

nikdorinn [45]

1/4=25/100

Decimal is = .25

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3 years ago

What are the solutions of the quadratic equation (x + 3)(x +3) = 49? Ax = -2 and x = -16 Bx = 2 and x = -10 Cx = 4 and x = -10 D

Ivahew [28]

Answer:

4 and -10

Step-by-step explanation:

$\displaystyle (x + 3)(x +3) = 49 \\ x^2+3x+3x+9=49 \\ x^2 +6x+9=49 \\ x^2 + 6x + 9 - 49 = 0 \\x^2+6x-40=0 \\\\ \Delta=b^2-4ac \\ \Delta=6^2-4 \cdot 1 \cdot (-40) \\ \Delta=36+160 \\ \Delta=196 \\ \\ X_{1,2}=\frac{-b \pm \sqrt{\Delta} }{2a} \\ \\ X_1=\frac{-b+\sqrt{\Delta} }{2a} = \frac{-6+14}{2} = \frac{8}{2}=4 \\ \\ X_2=\frac{-b-\sqrt{\Delta} }{2a} = \frac{-6-14}{2}=\frac{-20}{2} = -10$

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3 years ago

Need help with this question

goldfiish [28.3K]

Answer:

x = 12

Step-by-step explanation:

Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.

3x + 6x - 18 = 90

~Simplify

9x - 18 = 90

~Add 18 to both sides

9x = 108

~Divide 9 to both sides

x = 12

Best of Luck!

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3 years ago

What are the domain restrictions of the expression g2−7g+10g3−6g2+8g ? Select each correct answer.

Sauron [17]

Answer with Step-by-step explanation:

We are given that an expression

$f(g)=\frac{g^2-7g+10}{g^3-6g^2+8g}$

We have to find domain restriction of the given function.

$f(g)=\frac{(g-5)(g-2)}{g(g-4)(g-2)}$

Domain restriction means : It is that value of x when substitute in function then function will not defined.

It means it is that values which makes denominator zero.

From given function we can see that

When substitute g=0 then it makes denominator zero.

Hence, the function is not defined at g=0

Substitute g=4

Then, it makes denominator zero.

Hence, function is not defined at g=4

Substitute g=2

Then,it makes denominator zero.

Hence, function is not defined at g=2

Therefore, the function is defined for all values of g except g=0, g=2 and g=4

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3 years ago

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?​

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?