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2 years ago

How many 4 card hands that contain exactly 3 aces and 1 queen can be chosen from a 52 card deck?

1 answer:

7 0

There are 16 possible hands.

Choosing 3 aces from 4 possible is expressed by:
$_4C_3=\frac{4!}{3!1!} = 4$

Choosing 1 queen from 4 possible is expressed by:
$_4C_1=\frac{4!}{1!3!}=4$

This gives us 4*4 = 16 possible hands.

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What shape do you get when you plot and join (in order) the following points? (3, 6), (7, 6), (9, 1) and (1, 1) | plz

Lelechka [254]

isosceles trapezoid

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2 years ago

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Select the two values of x that are roots of this equation.

PIT_PIT [208]

Answer:

x = 1 or -5/2

Step-by-step explanation:

-2x^2 - 3x + 5 = 0

multiply all through by -1

2x^2 + 3x - 5 = 0

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(2x^2 + 5x)-(2x - 5) = 0

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2 years ago

Help question attached multiple choice

Rina8888 [55]

ANSWER

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

EXPLANATION

The given trigonometric equation is

$\cos(x) + 2 \cos(x) \sin(x) = 0$

We factor cos(x) to get:

$\cos(x) (1 + 2 \sin(x) ) = 0$

Apply the zero product property to obtain:

$\cos(x) = 0 \: or \: 1 + 2 \sin(x) = 0$

$\cos(x) = 0 \: or \: \sin(x) = - \frac{1}{2}$

Using the unit circle,

$\cos(x) = 0$

when

$x = \frac{\pi}{2}$

and

$x = \frac{3\pi}{2}$

We know

$\sin(y) = \frac{1}{2}$

when

$y= \frac{\pi}{6}$

The sine function is negative in the third and fourth quadrants.

$x = \pi + \frac{\pi}{6} = \frac{7\pi}{6}$

$x = 2\pi - \frac{\pi}{6} = \frac{11\pi}{6}$

Hence the solutions are:

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

6 0

2 years ago

What's the answer to 16-n=25 in mathematics equation

galina1969 [7]

Answer:-9

Step-by-step explanation:25-16=9

9+16=25

3 0

2 years ago

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I have 18 ones 15 hundreds 15 tens and 8 thousands. What number am i

amid [387]

Find each individual answer and add it together...

18 ones means 18*1=18

15 hundreds means 15*100=1500

15 tens means 15*10=150

8 thousands means 8*1000=8000

Add them...

8000+1500=9500

9500+150=9650

9650+18=<em><u>9668</u></em>

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3 years ago