A stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, how many different 3-card combinations are possible?

Answers

Answer 1

Answer:

120 different ways

Step-by-step explanation:

Using the combination formula as shown;

nCr = n!/(n-r)!r!

If a stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, the number of different ways 3cards combinations are possible is expressed as;

10C3 = 10!/(10-3)!3!

10C3 = 10!/(7)!3!

10C3 = 10*9*8*7!/7!*3*2

10C3 = 10*9*8/3*2

10C3 = 720/6

10C3 = 120 different ways

Hence there are 120 different card combinations

Answer 2

The different 3-card combinations that are possible are; 120 possible combinations

This is a combination probability problem with the formula;

nCr = n!/((n-r)!r!)

Where;

n is sample size

r is possible choice

In this case;

n = 10

r = 3

Thus;

The different 3-card combinations possible are;

10C3 = 10!/((10 - 3)!3!)

>> 10!/(7! × 3!)

>> 120

Thus,there are 120 possible combinations of 3 different cards.

Read more at; https://brainly.com/question/23885729


Related Questions

What is the coefficient on x in the product of (3x+2)(x+4)?

Answers

Answer:

3

Step-by-step explanation:

Answer: i guess 3

Step-by-step explanation:

What’s your philosophy in life?

Answers

Answer:

The philosophy of life would include things like how you decide what is “good” and “bad”, what “success” means, what your “purpose” in life is (including if you don't think there is a purpose), whether there is a God, how we should treat each other, etc

Step-by-step explanation:

Somebody please help not that much time left

Answers

-i hope this helps buddy
-i i think took me a while but i hope it helps

What is 7 25 written as a decimal?

Answers

Answer:

.725 or if its a whole with a decial 7.25 or 72.5

Step-by-step explanation:

Answer:

0.28

Step-by-step explanation:

i just took the assignment

i hope it helps :3

in the diagram O is the center of the circle XY is a diameter ​
help and explain please
also giving a BRAINLIEST!​

Answers

Answer:

see explanation

Step-by-step explanation:

The angle at the circumference b , is half the angle subtended at the centre by the arc XZ, that is

b = 0.5 × 72 = 36

OZ and OX are congruent ( both radii of the circle )

Thus Δ OXZ is isosceles with base angles congruent, thus

a = [tex]\frac{180-72}{2}[/tex] = [tex]\frac{108}{2}[/tex] = 54

∠ XZY = 90° ( angle in a semicircle is right )

A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop owner has used 91 combined ounces of meat and cheese. How many combined ounces of meat and cheese are used on each sandwich?

Answers

Answer:

Step-by-step explanation:

Given : For each sandwich:

Quantity of meat used = 4 ounces

Quantity of cheese used = 3 ounces

The combined ounces of meat and cheese are used on each sandwich =

Quantity of meat used + Quantity of cheese used

= 4 ounces + 3 ounces

= 7 ounces

Hence, The combined ounces of meat and cheese are used on each sandwich =  7 ounces

The Jones family spends $600 per month on groceries for their family. If this is 15% of their monthly budget, then what is their monthly budget?​

Answers

Answer:

hi whats up

Step-by-step explanation:

Answer:

$4000

Step-by-step explanation:

$600 = .15x where x is the total monthly budget

x = $600/.15

x = $4000

Answer two questions about Equations AAA and BBB: \begin{aligned} A.&&3(x+2)&=18 \\\\ B.&&x+2&=6 \end{aligned} A. B. ​ ​ 3(x+2) x+2 ​ =18 =6 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C, Checked) C Multiply/divide both sides by the same non-zero constant (Choice D) D Multiply/divide only one side by a non-zero constant

Answers

Answer:

C Multiply/divide both sides by the same non-zero constant

Step-by-step explanation:

Given

[tex]A:\ 3(x + 2) = 18[/tex]

[tex]B:\ x + 2 = 6[/tex]

Required

How to get B from A

It can be seen that B is a factor of A.

And to get B from A, all you need to do is divide both sides of A by 3.

i.e.

[tex]\frac{3(x+2)}{3} = \frac{18}{3}[/tex]

[tex]x+2 = 6[/tex]

Hence, from the list of given options.

Option C answers the question because 3 is a non zero constant and both sides of the equation were divided by 3

I need help on both please and thank youuu

Answers

+40 because it goes up every 40 on the graph

Increase £2193.67 by 18.5% Give your answer rounded to 2 DP.

Answers

Work out 10% then 1% x 8
Then 0.1% x 5
Then times by 2193.67

Write an equation of the line in slope-intercept form.

y=

Answers

y = 1/3x + 2

Explanation- find the slope. By looking at the first point, you go up 1 and over 3, making slope 1/3. Or you can find the slope with the equation:
m = y2-y1
———
x2-x1

The y intercept is on the y axis at 2.

So, The equation is y = 1/3x + 2


I’m thinking it’s 3-3=0 but that will leave me to no answer help me pls

Answers

Answer:

2 1/4

Step-by-step explanation:

answer: 1 1/4 or 5/4




step by step:
3-1 3/4
3-7/4=5/4
5/4=1 1/4

what did you mean by thinking it was 3-3=0 ?

50POINTS!!!!! HELP ASAP I ALREADY HAE HIS OVER DUE
1. Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his delivery times on different days. Peter’s Deliveries


(a) What is the equation of the line, first written in point-slope form and then written in slope-intercept form? Show how you determined the equation. (b) Based on the linear model, predict how long it initially took Peter to deliver his packages (y-intercept). Approximately how much did his delivery time decrease per day (slope)? Complete sentences

Answers

Answer:

y - 12 = -3 (x - 6)

y = -3x +6

6 minutes

The delivery times decreased by 3 minutes each day

Step-by-step explanation:

Point Slope:

Let's pick a point first (6,12)

The Slope of the line is -3

y - y1 = m (x - x1)

y - 12 = -3 (x - 6)

Slope-intercept:

The y-intercept is not shown on the graph but we can turn the point slope form of the equation to slope-intercept

y - 12 = -3x + 18

y = -3x +6

y-intercept:

y = mx + b

y = -3x + 6

m = 6

6 minutes

Slope:

we already know the slope is 3

The delivery times decreased by 3 minutes each day

Grant saved $1,325 to purchase a lawn tractor that costs $1,600. Last month the tractor was on sale for 20% off. Grant did not buy the tractor last month because he spent $360 to go bungee jumping. Decide if the decision is financially responsible.

Answers

Answer:

No, he is not financially responsible

Step-by-step explanation:

Given that:

Amount saved for tractor purchase = $1325

Original cost of tractor = $1600

Amount spent on bungee jumping = $360

Discounted price of tractor :

$1600 - (1600 * 0.2) = $1280

Saved amount left after bungee jumping :

$1325 - $360 = $965

The saved amount had exceeded the discounted price, hence, the discount served as an opportunity to make the purchase, However, spending $360 from the saved amount meant that the amount left could not afford the tractor despite the discount. Hence, Missing out on such opportunity due to jumping shows lack of financial responsibility.

There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate? *

Answers

Answer:

               [tex]\bold{\dfrac8{15}}[/tex]  of the cake      

Step-by-step explanation:

[tex]\dfrac45-\dfrac13\cdot\dfrac45=\dfrac{4\cdot3}{5\cdot3}-\dfrac4{15}=\dfrac{12}{15}-\dfrac4{15}=\dfrac8{15}[/tex]

There was 3/3 of the cake left

A large box is packed with 6 rows of 8 boxes of dried cranberries in the bottom layer. The box is about 4 layers high. Estimate the volume of the large box if each box of dried cranberries has a volume of 16 cubic inches.

Answers

Answer:

Step-by-step explanation:

The estemit will be 0

Write the expanded form of the expression
-6.4(-n+2+4.9n)

Answers

Answer:

6.4n - 12.8 - 31.36n

Step-by-step explanation:

multiply each term by -6.4

PLEASE HELP ME ANSWER THESE 2 QUESTIONS PLEASE PLEASE PLEASE ASAP

Answers

Answer:l

Step-by-step explanation:

what is the discimiant of 9x2+2=10x?

Answers

Answer:

28

Step-by-step explanation:

Answer: 28

Step-by-step explanation:Use the values of a b and c for the discrimiant

Pahola invests $3,500 in a money market account.The simple interest rate on her investment is 3.65%.How much will pahola's account be worth in 4 years?

Answers

Given:

Principal = $3500

Rate of simple interest = 3.65% = 0.0365

Time = 4 year

To find:

The amount.

Solution:

The formula for simple interest is

[tex]I=P\times r\times t[/tex]

where, P is principle, r is rate of interest and t is time in years.

Substituting P=3500, r=0.0365 and t=4, we get

[tex]I=3500\times 0.0365\times 4[/tex]

[tex]I=511[/tex]

Now,

[tex]Amount=P+I[/tex]

[tex]Amount=3500+511[/tex]

[tex]Amount=4011[/tex]

Therefore, the amount after 4 years in pahola's account is $4011.

What is the solution to this system of equations?4x - 3y = -14 and x - 2y = -6

Answers

Answer:

Step-by-step explanation:

See a solution process below:

Explanation:

Step 1) Solve the second equation for

x

:

2

x

2

y

=

18

2

x

2

y

+

2

y

=

18

+

2

y

2

x

0

=

18

+

2

y

2

x

=

18

+

2

y

2

x

2

=

18

+

2

y

2

2

x

2

=

18

2

+

2

y

2

x

=

9

+

y

Step 2) Substitute

(

9

+

y

)

for

x

in the first equation and solve for

y

:

4

x

+

3

y

=

13

becomes:

4

(

9

+

y

)

+

3

y

=

13

(

4

×

9

)

+

(

4

×

y

)

+

3

y

=

13

36

+

4

y

+

3

y

=

13

36

+

(

4

+

3

)

y

=

13

36

+

7

y

=

13

36

+

36

+

7

y

=

36

13

0

+

7

y

=

49

7

y

=

49

7

y

7

=

49

7

7

y

7

=

7

y

=

7

Step 3) Substitute

7

for

y

in the solution to the second equation at the end of Step 1 and calculate

x

:

x

=

9

+

y

becomes:

x

=

9

7

x

=

2

The solution is:

x

=

2

and

y

=

7

or

(

2

,

7

)

The solution is:

x

=

2

and  

y

=

7

 or

(

2

,

7

)

Simplify.
24x2/
23x6

Answers

Answer:

16/23

Step-by-step explanation:

well,

24 x 4 = 96

23 x 6 = 138

96/138 = 16/23

24×2/23×6

48/138

=0.3380

find the side length of triangle.

Answers

Answer:

x=4

Step-by-step explanation:

Let's solve the equation:

3x+12=4x+8

12=4x-3x+8

12=x+8

12-8=x

4=x

x=4

The way i got this answer was by solving the equation using the following steps. Since you're solving for one side and have two different equations, put an equal sign in between the two equations to get the equation set up above. Then you need to have the x variable on one side, instead of both sides, so you take 3x and subtract it from both sides, leaving x on one side, because 4x-3x is equal to 1x, or just x. Then we need to have what is not attached to a variable on the other side to make it easier to solve, so you would need to subtract 8 from both sides to get rid of the 8 on the side with the variable, because if you subtract 12 from both sides, it will just make it more confusing to solve, and then 12-8 is equal to 4, so you get x is equal to 4.

Leon receives a birthday gift of $50 from his parents. Each week he saves $5.00. How many weeks will it take for him to save $120? Select and equation from below that will help him determine how much he needs to save every week to save $120.00.

A) 5x + 50= 120.00
B) 50x +5.00 = 120
C) 120x + 50= 1200.00
D) 5x + 120.00= 50.00

Answers

Answer:

14 weeks. the equation would be a.

Step-by-step explanation:

120-50=70   70/5=14 it will take him 14 weeks to get 120 if he saves 5 a week on top of the additional 50 he already has.

Answer:

14 weeks

Step-by-step explanation:

What is (3x2+x-1)(x^4-2x+1)

Answers

Answer:

3

x

6

+

x

5

x

4

6

x

3

+

x

2

+

3

x

1

Step-by-step explanation:

simp

Answer: =3x^6 + x^5 − x^4 − 6x^3 + x^2 + 3x − 1

Step-by-step explanation:

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece meters long. Then she cuts a piece meters long from the remaining ribbon. How much ribbon does Leah have left? A. 10 meters B. 25 meters C. 5 meters D. 12 meters

Answers

This question is incomplete

Complete Question

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?

A.) -12 meters

B.) -5 meters

C.) 5 meters

D.) 12 meters

Answer:

C.) 5 meters

Step-by-step explanation:

From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon.

Step 1

3 4/9 meters + 6 5/9 meters

Least Common Denominator = 9

(3+ 6) + [ 4/9 + 5/9)

9 + [4 + 5/9]

9 + [9/9]

9 + 1

= 10 meters

This means, the total number of ribbons cut is 10 meters

The amount of ribbon Leah has left =

Initial length of ribbon - Amount of ribbon cut

= 15 meters - 10 meters

= 5 meters

Hence, Leah has 5 meters long of ribbon left

Answer:

the answer is 5 meters left

Step-by-step explanation:

7x {(7+7)} divided by 7}

Answers

Answer: 2

Step-by-step explanation:

-2/3x + 3/7 = 1/2
In this problem, is X 13/21?

If X is 13/21 what is the answer to this problem?
-2/3 x 13/21 + 3/7

If X isnt 13/21, what is X?

Answers

Answer:

x = - [tex]\frac{3}{28}[/tex]

Step-by-step explanation:

Given

- [tex]\frac{2}{3}[/tex] x + [tex]\frac{3}{7}[/tex] = [tex]\frac{1}{2}[/tex]

Multiply through by 42 ( the LCM of 3, 7 and 2 ) to clear the fractions

- 28x + 18 = 21 ( subtract 18 from both sides )

- 28x = 3 ( divide both sides by - 28 )

x = - [tex]\frac{3}{28}[/tex]

Can someone help me? In this net, the two triangles are right triangles. All quadrilaterals are rectangles. What is its surface area in square units? Do not include units (square units) in your answer.

Answers

Answer:

Net Area = 168

Step-by-step explanation:

See attachment for complete question

I'll make reference to the attachment, when needed.

The shapes that make up the net are labelled 1 to 5.

So, to calculate the surface area of the net, we simply calculate the surface area of each label.

Label 1: Rectangle

Area = Length * Width

Area = 10 * 5

Area = 50

Label 2: Rectangle

Area = Length * Width

Area = 8 * 5

Area = 40

Label 3: Rectangle

Area = Length * Width

Area = 6 * 5

Area = 30

Label 4: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

Label 5: Triangle

Area = ½Base * Height

Base = 6 and Height = 8

So:

Area = ½ * 6 * 8

Area = 24

So, the net area is the summation of the calculated areas of label 1 to 5

Net Area = 50 + 40 + 30 + 24 + 24

Net Area = 168

36 pictures for $8 or 24 pictures for $5

Answers

Answer:

36 for $8.00

Step-by-step explanation:

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