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noname [10]
3 years ago
14

Your friends shuffle the cards and then deal them. Select probability of getting a red card. Select probability of getting a spa

de card.
Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

Answer:

1/2 ; 1/4

Step-by-step explanation:

Number of cards in a deck = 52

Number of red cards = 26

Number of spades = 13

Probability of event A :

P(A) = required outcome / Total possible outcomes

P( red card) = number of red cards / total cards in deck

P(red card) = 26 / 52 = 1/2

P(spade) = number of spades / total cards in deck

P(red card) = 13 / 52 = 1 / 4

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Length of the median CP
ehidna [41]

Given:

ΔABC \sim ΔDEF

To find:

The length of median CP

Solution:

In ΔABC,

AP = 12, BP = 12 and PC = 3x - 12

In ΔDEF,

DQ = 16, QE = 16 and FQ = 2x + 8

If two triangles are similar, then their median is proportional to the corresponding sides.

$\Rightarrow \frac{AP}{DQ} =\frac{PC}{FQ}

$\Rightarrow \frac{12}{16} =\frac{3x-12}{2x+8}

Do cross multiplication.

$\Rightarrow 12(2x+8)=16(3x-12)

$\Rightarrow 24x+96=48x-192

Add 192 on both sides.

$\Rightarrow 24x+96+192=48x-192+192

$\Rightarrow 24x+288=48x

Subtract 24x from both sides.

$\Rightarrow 24x+288- 24x=48x- 24x

$\Rightarrow 288=24x

Divide by 24 on both sides.

⇒ 12 = x

Substitute x = 12 in CP.

CP = 3(12) - 12

     = 36 - 12

     = 24

The length of median CP is 24.

7 0
3 years ago
the mathematics Department of a college has 11 male professors 12 female professors 9 male teaching assistants and 12 female tea
Marta_Voda [28]

Answer:

P(teaching assistant or a female) = 1 - P(professor and male) = 1 - 11/44 = 1 - 0.25 = 0.75

Make a Contingency_table

7 0
3 years ago
A submarine is traveling 180 below sea level.Find the new position of the submarine after it ascends 55 feet
Marta_Voda [28]

Answer:

125 feet below sea level or -125

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A dressmaker needs to cut 18-inch pieces of ribbon from rolls of ribbon that are 6 feet in length. How many 18-inch pieces can t
TiliK225 [7]

Answer: 20 pieces, 72 inches of ribbon

Step-by-step explanation: 6/1.5=4 4x5=20 6x12= 72 inches

4 0
1 year ago
Step by step explanation thanks
Inessa [10]

Answer:

C= 7y +150

850

250

Step-by-step explanation:

The cost is 7 times y, the number of yearbooks, plus 150, the upfront cost.

7 times 100 is 700, plus 150 is 850.

1900-150 is 1750 divided by 7 is 250

7 0
3 years ago
Read 2 more answers
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