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3 years ago

Find the number of possible 5 card hands that contain the cards specified the cards are taken from a standard 52 card deck

Mathematics

1 answer:

Zarrin [17]3 years ago

5 0

Answer:

Step-by-step explanation:

Find the number of possible 5-card hands that contain the cards specified. The cards are taken from a standard 52-card deck.

5 red cards.

Ans: 26C5 = 26!/[21!*5!] = 65780

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4 spades and 1 card that is not a spade.

Ans: [13C4*39C1] = 27885

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3 face cards (kings, queens, or jacks) and 2 cards that are not face cards.

Ans: 12C3*40C2 = 171,600

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Please help me i will mark as brainliest

Bingel [31]

6. P = 2
Q = -5

7. C = -1

8. K = 3

9. A) y = 2x + 2
B) y = -3x + 5
C) y = 0x + -5

10. Y = 5x + -18

11. A)
i) (5, 0)
ii) (0, 5)

B) y = -1x + 0

3 0

2 years ago

Martha has 15 feet of a red ribbon and 12 feet of a green ribbon. How many yards does she have altogether

irakobra [83]

15ft + 12ft = 27ft

Convert feet into yard: 27ft —> 9 yards

Answer: 9 yards

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3 years ago

What's the Error? 3+1(6+2) 4(6-2) 4(3) 12

gulaghasi [49]

Yes 12 thats the error

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3 years ago

Solve the equation for all real values of x. cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

Step-by-step explanation:

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

A group of students organized a car wash to raise money for a local charity. The students charged $5.00 for each car they washed

Gala2k [10]

The students will earn $180 by washing cars for 9 hours.

In 3 hours the students will earn...

$5 x 12 = $60

5 dollars x 12 cars = 60 dollars

So in 3 hours the group of students will earn $60

In 9 hours the students will earn...

$60 x 3 = $180

Since the students will earn $60 per every 3 hours, you multiply $60 with 3 because if you divide 9 hours by 3 hours you will get 3. The answer you get by multiplying 60 by 3 is 180. Therefore the students can earn $180 from washing cars.

I hope this helps!

3 0

3 years ago