Please help!
Assume that you remove all of the hearts from a normal deck of cards. Now, with this new hearts-only deck, how many possible five-card hands can you draw? (A normal deck of cards has 52 cards, 4 suits, and numbers 2-10, Jack, Queen, King, Ace.)

a. 4,669,920
b. 311,875,200
c. 154,440
d. 6,497,400

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The possible way to draw 5 cards hand from set of  hearts-only deck is  15,4440 .

What is permutation?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol [tex]P_{r} ^{n}[/tex] is used to denote the number of permutations of n distinct objects, taken r at a time.

Formula of permutation

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(n!)}{(n-r)!}[/tex]

According to the question

Remove all of the hearts from a normal deck of cards.

i.e,

Total normal deck of cards = 52

On Removing hearts cards(n) = 13  

Now, with this new hearts-only deck, how many possible five-card hands can you draw .

Card to draw (r)= 5

Applying formula of  permutation

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(n!)}{(n-r)!}[/tex]

n = 13

r = 5

Substituting the values

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(13!)}{(13-5)!}[/tex]

[tex]P_{r} ^{n}[/tex] = [tex]\frac{(13*12*11*10*9*8!)}{(8)!}[/tex]

[tex]P_{r} ^{n}[/tex] = 15,4440

Hence, the possible way to draw 5 cards hand from set of  hearts-only deck is  15,4440 .

To know more about permutation here:

https://brainly.com/question/1216161

#SPJ2


Related Questions

If a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?

Answers

Answer:

55-11=44 and 44-11=33 so 33 it is

Step-by-step explanation:

Well, 5 to 11 is just saying 5:11 just in a different way. This (:) means (to)  also. So how you get the roof to a 33 foot run is to change the 5 into a 3 and the you leave the 11 alone and then you 33 -foot run. Well I really don't really know if that is ther correct anser but if it isn't then read someone's other answer because I don't really know what kind of math this is and I really need to know what grade it is and then I will look it up on the internet. Because some times I get thinmgs wrong if I  don't remember them so I need someone to explain how to do it

Answer: 15 feet

Step-by-step explanation: took the test on edge

If 1 inch equals approximately 2.5 centimeters, how many centimeters are equal to 12.5 inches?

Answers

Answer:

31.75 cm is equal to 12.5 in

Step-by-step explanation:

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Answers

Answer:

There is nothing here do you have a question I would be happy to help!!!:)

Step-by-step explanation:

Which equation can be used to calculate the area of the shaded triangle in the figure below?
4 ft
12 ft
(4 points)
2(12 x 4) = 96 square feet
Oa
Ob
1
2 (12 x 4) = 24 square feet
2(12 + 4) = 32 square feet
d
1
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Answers

Answer:

b. 1/2(12x4) = 24 square feet

Step-by-step explanation:

Using rectangle area formula and considering half of it as shaded:

A = 1/2bh

Given

b = 12 feet, h = 4 feet

The area is:

1/2*12*4 = 24 square feet

Correct option is b.

what is an equation of the line that passes through the points
(6,5) and (3,5)?​

Answers

Answer:

y = 5

Step-by-step explanation:

y  = mx + b

5 = 6m + b

5 = 3m + b

Take the first minus twice the second.

-5 = - b

b = 5

Substitute back to calculate m.

5 = 6m + 5

6m = 0

m = 0

Marcus has a 48-ounce soda. He drinks 15 ounces. What is the percentage of ounces Marcus has left from his soda? Round your answer to the nearest tenth

Answers

Answer:

33%

Step-by-step explanation:

48-15=33

33/100*100=33%

5 people want to split a bag that holds 36 pounds of rice equally. Which fraction shows how much each person will get?

Answers

Answer:

7.2 = 7 1/5

divide five by 36

Each friend gets 7.5 pounds of rice

H(-4)=x^2-8x please solve

Answers

Answer:

Putting h=-4 in the function [tex]h(x)=x^2-8x[/tex] we get [tex]\mathbf{h(-4)=48}[/tex]

Step-by-step explanation:

We are given: [tex]h(x)=x^2-8x[/tex]

We need to find h(-4)

Put x= -4 and solve:

[tex]h(x)=x^2-8x\\Put \ x=-4\\h(-4)=(-4)^2-8(-4)\\h(-4)=16+32\\h(-4)=48[/tex]

So, putting h=-4 in the function [tex]h(x)=x^2-8x[/tex] we get [tex]\mathbf{h(-4)=48}[/tex]

True or false: The solutions to y is greater than mx+b always lie above the graph of the line y=mx+ b.

Answers

Answer: i think the answer is false because if The solutions to y is greater than mx+b => y > mx + b, but to lie above the graph of the line y = mx +b, y must equal to mx + b => the solutions to y isnt greater than mx+b  

Step-by-step explanation:

Answer:

true if its greater

Step-by-step explanation:

thats how it be

If you are given different lengths of boards to build a triangular frame, which three lengths can be used?

Answers

Answer:

c^2 = a^2 + b^2.

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Jake mowed 216 sq.yd. of lawn in 3 hr. Ricky mowed 108 sq.yd. of lawn in 2 hr.



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Ricky’s square yards mowed:

Ricky’s time (hr.):

Answers

Answer:

108 Square Yards

2 Hours

Step-by-step explanation:

PLEASE MARK BRAINLIEST

All you do is look at the question and it says he mowed 108 square yards in 2 hours.

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Answers

Answer:

5.831

Step-by-step explanation:

Pythagoras says RS = √(5²+3²) = √34 ≈ 5.831

Answer:

RS ≈ 5.83 units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Here RS is the hypotenuse and the legs have measure 5 and 3, thus

RS² = 5² + 3² = 25 + 9 = 34 ( take the square root of both sides )

RS = [tex]\sqrt{34}[/tex] ≈ 5.83 ( to 3 significant figures )

Jorge is at the dollar store buying balloons for a birthday party. For every 5 balloons he buys, he pays $6.



What is the price per balloon?

Answers

Answer:

$1.20

Step-by-step explanation:

Emma spent $16.00 on her order at Panera Bread. In her state, there is a 10% tax on food. What was her total bill after sales tax?



i need this answered so don't screw around btw its worth a lot of points :D

Answers

Answer:

$17.60

Step-by-step explanation:

We know that Emma spent $16.00 on her food.

There is a 10% tax.

Therefore, the total bill will be the price without tax plus the tax.

The price without tax is $16.00.

Tax is 10%. So, the tax will be 10% of 16.

10% of 16 is the same as 0.1(16) or 1.6.

So, the tax is $1.60.

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$16.00+$1.60=$17.60.

Emma’s total bill comes to $17.60

examine the graph? which option shows the equation for the line in the graph

Answers

Answer:

y=-3x-10

Step-by-step explanation:

rise over run

slope is -9/3 and the y intercept is 10

I will mark brainest if it is correct
1. 4x + 3 = x + 18
x=

Answers

Answer

5

Step-by-step explanation:

Pls give brainliest to me

Answer: x = 5

Step-by-step explanation:

4x + 3 = x + 18

- 3 - 3

4x = x + 15

Do 4x-x and x-x

3x = 15

Do 3x/3 and 15/3

x= 5

A personal-size pizza has the radius shown in the diagram. Will the pizza fit on a plate with a radius of 10−−−√ inches or a radius of 12−−−√ inches. What is the approximate value of each radius?

Answers

9514 1404 393

Answer:

fits on a plate with radius √12√10 ≈ 3.16; √12 ≈ 3.46

Step-by-step explanation:

A calculator can tell you the values of the square roots:

  √10 ≈ 3.16

  √12 ≈ 3.46

The radius of the pizza is larger than √10, so will not fit on that plate. It is less than √12, so will fit on a plate with radius √12.

Emily read 24 fiction books and 2 nonfiction books. What is the ratio of the number of fiction books she read to the total number of books that she read?

Answers

Answer:

26

Step-by-step explanation:i used a caluculator

The number of fiction books that Emily read to the total number of books that she read is 24:26 (24 to 26). I hope this helps!

At Middle school ,60% of the 800 students participate in music. How many students participate in music.???

Answers

It would be 480, because I did it in Desmos

Answer:

480

Step-by-step explanation:

800=100% value

x-60%

800/x = 100%/60%

now solve for x

(800/x)*x=(100/60)*x      ( multiply both sides of the equation by x )

800=1.66666666667*x     ( then we divide both sides of the equation by 1.66666666667 to get x )

480 = x

x= 480

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#9 I WILL GIVE BRAINLIEST
please show work‼️

Answers

Answer:

I believe the answer is zebra fish = 6 and neon tetras = 4. I also attached a picture of the work in case you need it.

Hdh

Step-by-step explanation:

solve using substitution

Answers

Answer: (-7,4)

Step-by-step explanation:

I hope this helps.

Is it -525 or 525 my sister is still lazy omg dang Jesus

Answers

Answer:

It's 525 because you can't have a negative height.

Step-by-step explanation:

A loan of $12,000 is made at 5.25% interest, compounded annually. After how many years will the amount due reach $22,000 or more?

Answers

Answer:

About 16 years

Step-by-step explanation:

First we need to figure out 5.25% of 12000

5.25 x 0.12000 = 0.63

Then we move the decimal

630

Then we need to figure out how many years it will take to reach $22000

Since we already owe $12000, we can just divide using $10000 because 10000 + 12000 = 22000

10000/630 = 15.87

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Answers

Answer:

I got 0.84

Step-by-step explanation:

Answer:

0.60109487083

Step-by-step explanation:

Straight up can look it up or use calculator

Find f(2 + x) If f(x) = 4x - 5

Answers

Answer:

Replacing x with 3 in 4x-5 tells us f(3) = 7

Step-by-step explanation:

to evaluate f (3), just replace all x  in f(x) = 4x - 5 with 3 :

f(3) =4(3) - 5 = 12 - 5= 7

6x/7 -3=4

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pls hurry I need help.
Do not convert to a decimal.

Answers

Answer:

49/6

Step-by-step explanation:

6x/7-3=4

6x/7=7

6x=49

x=49/6

Answer:

=49/6

Step-by-step explanation:

add 3 to both sides

simpliefy

undo division

simpliefy

divide both sides

The basketball team scored 38 points in 30 minuets. At the rate, how many points are they likely to score in an hour?
A. 68
B. 60
C. 76
D. 98​

Answers

Answer: 76

Step-by-step explanation:

If they scored 38 pints in 30 minutes and there Are 60 minutes in a hr. Then just double that.

30 mins=38

38+38=76

76 points in 1 hr.

76 is the answer because you all of it up

Primo car rental agency charges $50 per day plus $0.30 per mile. Ultimo car rental agency charges $20 per day plus $0.70 per mile. Find the daily mileage for
which the Ultimo charge is twice the Primo charge.
What is the mileage?

Answers

Answer:

cdcdc

Step-by-step explanation:

Answer:

Let's assume m represents the mileage of the car.

Given that, Primo car rental agency charges $33 per day plus $0.20 per mile.

So, the total charge for this agency = 33 + 0.20m.

Similarly total charge of the ultimo car = 17 + 0.85m.

Now we need to find the daily mileage for which the ultimo charge is four times the primo charge. So, we can set up an equation as follows:

17 + 0.85m = 4 *( 33 + 0.20m )

17 + 0.85m = 132 + 0.80m By distribution property.

17 + 0.85m -0.80m = 132 + 0.80m -0.80m Subtract 0.80m from each sides.

17 + 0.05m = 132

17 + 0.05m - 17 = 132 - 17 Subtract 17 from each sides.

0.05m = 115

Divide each by 0.05.

So, m = 2300

Hence, the daily mileage is 2300 miles.

Hope this helps you (don't forget to rate and give thx and brainliest if possible please :)

answer this pleaseeee!!

Answers

Answer:

this is cheating

Step-by-step explanation:

i also cant read it :T

Which of the following rational functions is graphed below?​

Answers

Answer:

c

Step-by-step explanation:

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