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1 year ago

a hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there

Mathematics

1 answer:

emmasim [6.3K]1 year ago

6 0

Answer:

2,598,960

Step-by-step explanation:

It is a combination because order doesn't matter. You wouldn't want to call A-K-Q-J-10 of hearts a different combination than 10-J-Q-K-A.

52 C 5 = 2,598,960

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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is

kodGreya [7K]

We're looking for a scalar function $f(x,y)$ such that $\nabla f(x,y)=\vec F(x,y)$ . That is,

$\dfrac{\partial f}{\partial x}=2x-6y$

$\dfrac{\partial f}{\partial y}=-6x+6y-7$

Integrate the first equation with respect to $x$ :

$f(x,y)=x^2-6xy+g(y)$

Differentiate with respect to $y$ :

$-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7$

Integrate with respect to $y$ :

$g(y)=3y^2-7y+C$

So $\vec F$ is indeed conservative with the scalar potential function

$f(x,y)=x^2-6xy+3y^2-7y+C$

where $C$ is an arbitrary constant.

6 0

2 years ago

How would you solve this problem.

Jet001 [13]

We can find h by calculating the area S of the parallelogram in two ways. We can write: $S=18\cdot10$ . On the other hand, $S=12\cdot h$ . Then:

$18\cdot10=12\cdot h\\\\ 12h=180\\\\h=\dfrac{180}{12}\\\\\boxed{h=15}$

7 0

2 years ago

Solve for x please help me

stepladder [879]

Answer:

Step-by-step explanation:

By intersecting chords theorem:

$12x = 3(x + 12) \\ \\ 12x = 3x + 36 \\ \\ 12x - 3x = 36 \\ \\ 9x = 36 \\ \\ x = \frac{36}{9} \\ \\ x = 4$

6 0

2 years ago

Mrs.joshi bought a saree for Rs 1750.she sold it at a profit of 4%.what would be her profit or loss percent ?

bekas [8.4K]

Answer: Rs 1820

Step-by-step explanation:

This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750. Thus, simply do 1.04*1750 to get 1820.

<em>Hope it helps <3</em>

7 0

2 years ago

Plz I need some help with 11-12 . My teacher didn’t even explain it correctly so now I’m confused.

rusak2 [61]

Answer:

Step 1: Transpose everything to one side

12. x²+16x+15-10x+4=0

Step 2: Add the like terms

x² + (16x - 10x) + 15 + 4=0

x² + 6x + 19=0

Step 3: Use the quadratic formula to get the value(s) of x.

a=1 b=6 c=19

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac } {}^{} }{2a}$

therefore, x=... or x

6 0

2 years ago