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3 years ago

Consider a standard deck of 52 playing cards with 4 suits.

Mathematics

2 answers:

Zanzabum3 years ago

8 0

Answer:

3/26

Step-by-step explanation:

In a deck of 52 cards, there are two red suits: Diamonds and Hearts

There are 6 red face cards:

2 red King

2 red Queen

2 red Jack

P(red face card) = 6/52 = 3/26

Lorico [155]3 years ago

6 0

Answer:

3/26

Step-by-step explanation:

The face cards are: Jack, Queen, and King. There are only three face cards for each of the 4 suits.

Among the 4 suits, two of them are red: diamonds and hearts. And, each of these two has 3 faces. That means that in a deck of 52 cards, there are 2 * 3 = 6 cards that are both red cards and face cards.

Probability is (# times specific event can occur) / (# times any general event will occur).

Here, the specific event is drawing a card that is both red and a face card (of which there are 6 ways), and the general event is drawing a card (of which there are 52 ways):

P(draw a card that is both red and a face card) = 6/52 = 3/26

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Sike this system of equations by graphing . First graph the equations and then type the solution y=7/2x+3 y=-x-6

sergij07 [2.7K]

Answer:

I’ve got the graphs for both equations below.

With y = 7/2x + 3

y = -x-6

I used substitution with simultaneous equations and got x = -2 and y = -4 :)

3 0

3 years ago

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle O? You must show all work and calcu

Igoryamba

A quadrilateral inscribed in a circle is called a "cyclic quadrilateral."

A quadrilateral is cyclic, only if the sum of the measures of the opposite angles is 180°.

Also, the reverse is true: If we know a quadrilateral to be cyclic, than its opposite angles must be supplementary (add up to 180°) .

Thus, we must have:

$m(\angle O)+m(\angle Q)=180^{\circ}$

2x+(2x+4)=180

4x+4=180 (next dividing by 4:)

x+1=45

Thus, x=44, which means that the measure of angle O is 2x degrees, that is 88 degrees.

Answer: 88°

3 0

3 years ago

Eleanor and Max used two Rectangular wooden boards to make a set for the school play one board was 6 feet long,And other was 5 1

kkurt [141]

The total area is the product of length and width

... total area = (length1 × width) + (length2 × width)

... = (length1 + length2) × width

... 60 3/8 = (6 + 5 1/2) × width

... (60 3/8)/(11 1/2) = width = 5 1/4 . . . . feet

The width of the boards use for the set was 5 1/4 feet.

_____

A suitable calculator can give you this answer directly. Others may ask you to convert to or from decimal feet.

___

The method conventionally taught to do division with mixed numbers is to convert them to improper fractions:

... 60 3/8 = (60·8 +3)/8 = 483/8

... 11 1/2 = (11·2 + 1)/2 = 23/2

Then, invert the denominator and multiply:

... (483/8)/(23/2) = (483/8) × (2/23) = 483/(4·23)

... = 483/92 = 5 23/92 = 5 1/4 . . . . . . . . remembering that 92 = 4·23

_____

It isn't clear whether this is a problem about areas, or a problem about mixed-number arithmetic. It is a good idea to get comfortable with arithmetic using numbers in any form: integers, decimals, mixed numbers, fractions, percents.