I have a standard deck of playing cards in one pile, and a deck of 10 distinct Pokémon cards in another
pile. If I randomly choose 3 playing cards and 4 Pokémon cards (and I don't care about the order I draw
them), how many different choices could I make?

Answers

Answer 1

Answer:

You could make 4,641,000 different choices.

Step-by-step explanation:

The order in which the cards are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

How many different choices could I make?

3 cards from a set of 52(number of cards on a standard deck).

4 Pokemon cards from a set of 10. So

[tex]T = C_{52,3}*C_{10,4} = \frac{52!}{3!49!}*\frac{10!}{4!6!} = 22100*210 = 4641000[/tex]

You could make 4,641,000 different choices.


Related Questions

The sales tax rate is 5%. If Carmen buys a fountain priced at $329.97, how muchztax will
she pay?
Round your answer to the nearest cent: $

Answers

Answer:

$16.50

Step-by-step explanation:

Take the total price, convert the percentage to a decimal and multiply the two together.

329.97*0.05=16.498

Round to the nearest cent.

$16.50

Answer:

346.47

Step-by-step explanation:

the equation is: 329.97 * 5/100 + 329.97

= 16.4985 +329.97=346.4685

rounding to the nearest cent we get 346.47

Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today

Answers

Skiffjsjdbbdbcbdhfhvvvvvvvvvvvv

Answer:

8 peanut cookies

Step-by-step explanation:

4 x 12  = 48

48 x  1/3 = 2/3 left             (16 chocolate chip)

48-16= 2/3 = 32 left          

32 x 3/4 = 24                     (24 gingersnaps)

32-24 = 8                          ( 8 peanut cookies)

Please help give me the brainliest answer

Answers

Answer:

±[tex]2\sqrt{6}i[/tex]

Step-by-step explanation:

±√24

±√-1 √24

±√24 i

±2√6 i

giving out brainliest answer !!!! help me out asap please !!!!

Answers

Answer:

8.07

Step-by-step explanation:

sin(48)=x/6

6sin(48)=x

I need this today plz help

Answers

Answer:

the answer is either A or C

Step-by-step explanation:

I'm not sure if it's going from Triangle O to Triangle N

Or if its going from Triangle N to  O

i think it is choice


C
answer explanation:;
is c

what is the area of the composite figure

Answers

Answer:

D) 476 ft²

Step-by-step explanation:

12x14=168

(25+31)/2=28

28x11=308

308+168=476

HELP TIMED URGENT PLS

Answers

Answer:

3 cm!

Step-by-step explanation:

Volume= length times width times height

90/3=30

30/10=3!

Find the GCF of the terms of the polynomial.
1424 - 7023 + 1022

Answers

The answer is 10,176 that is the answer

Two intersecting segments form the diagonals of a quadrilateral. What additional information do you need to know about the diagonals to prove that a quadrilateral is a parallelogram

Answers

Answer:

B. They must bisect each other

Step-by-step explanation:

Found the answer on quizziz

2. Moore has 20 songs. His friend bought him M more
songs. Write an expression that shows how many songs
Moore has now.

Answers

Answer:

20+m

Step-by-step explanation:

Answer:

20+m=?

Step-by-step explanation:

if moore already has 20 songs and his freind brought m more books then we would need to find the total amount of books more has now.

50 POINTS!! URGENT !! PLS HELP

Answers

Answer:

Option C

Step-by-step explanation:

The two triangles will be similar if the ratio of their corresponding sides are proportional. Let's check this ,

1st side :-

= 8:3

2nd side :-

= 10 : 4 = 5:2

3rd side :-

= 6:5 .

Since the ratio of the sides of triangle are not same therefore that 2 triangles are not similar .

Option C is correct .

During the Falcons game, Julio Jones ran a straight route 40 yards up the sideline before turning around and catching a pass from Matt Ryan. Defender, Malcolm Butler, who started 20 yards across the field from Jones, saw the play setup and ran horizontally toward the receiver. What was the distance the defender had to run to get to the spot where Jones caught the ball? (PLS DONT GIVE WEBSITE PLS JUST ANSWER)

Answers

Answer:

its 20 because he ran 20 from jones

Of the 31 teachers at Keenan's high school, 14 are female. What is the ratio of the number of female teachers to the number of male teachers?​

Answers

Answer:

The answer is 14:17

Step-by-step explanation:

31-14 is 17 and 14 are female and 17 are male so we do 14:17

Medication is prescribed in 8 out of every 10 hospital emergency room visits that involve an injury. If a large urban hospital had 660
emergency
room visits involving an injury in the past month, how many of these visits would be expected to include a prescription for
medication?
About
emergency room visits would be expected to include a prescription for medication.

Answers

Answer:

I don't know thats hard um well yeah


The graph of a linear function
is shown on the grid.
What is the rate of change of y with respect to x for this function?
Record your answer in the space below.

Answers

Rate of change is Y= -.5x +5
If the slope (-.5) needed to be a decimal it would be -1/2
The y value is 5

can someone help me with this please

Answers

9514 1404 393

Answer:

  1. attendance (y), time (x)

  2. 1,2: increasing; 3: constant; 4: decreasing

  3. attendance increases, remains constant, then decreases

  4. increasing; pre-heating the oven

Step-by-step explanation:

It is always difficult to read the mind of the author of questions like these. Usually, specific wording is expected. If your curriculum material has examples you can copy from, you should do that.

__

1. The variables and what they stand for are listed on the axes of the graph. The y-variable stands for attendance. The x-variable stands for time. It isn't clear whether the desired answer is "y and x" or "attendance and time".

__

2. The graph slopes upward in intervals 1 and 2. It can be described as "increasing."

The graph remains level in interval 3. It can be described as "constant."

The graph slopes downward in interval 4. It can be described as "decreasing."

__

3. The attendance is adequately described in question 2. Attendance increases, remains constant, then decreases. It isn't clear how general or specific the answer is supposed to be.

__

4. The graph of the function is "increasing." We don't know if the indicated temperature is the temperature of the bread, the oven, or the room containing the oven. If we assume the indicated temperature is that of the oven, we expect an increase during the oven pre-heat interval.

If the indicated temperature is that of the bread, then the increase would be following insertion of the bread into the oven.

Some one help please

Answers

Answer:

subtracting 14 from sides of the number sentence

Step-by-step explanation:

14 + n = 84

Since 14 is being added to n, you need to subtract 14 from both sides to solve for n.

Answer: subtracting 14 from sides of the number sentence

A vehicle purchased for $29,800 depreciates at a constant rate of 4%. Determine the approximate value of
the vehicle 10 years after purchase. Round to the nearest whole dollar.

Answers

Answer:

$44104

Step-by-step explanation:

Given data

Cost = $29800

Rate= 4%

Time= 10years

Applying the formula below, we can find the cost after 10 years as

A=P(1+r)^t

A= 29800(1+0.04)^10

A=29800(1.04)^10

A=29800*1.480

A=$44104

Hence the new cost is $44104

Sheldon spent $42 on cookies. If each box cost $6, which equation will tell you how many boxes of cookies Sheldon bought?

Answers

Answer:

42 multpliy by 6

Step-by-step explanation:

Sheldon bought 7 boxes of cookies if he spent $42 on cookies.

What is ratio?

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Cost of one box of cookies = $6.

And total amount spent by Sheldon on cookies = $42.

Let Sheldon bough x boxes of cookies.

To find the number of boxes of cookies x,

Use ratio property,

Cost of one box of cookies = $6

Cost of x boxes of cookies = $6x

Total price = 42

6x = 42

x = 7

The required number of boxes of cookies is 7.

To learn more about Ratio on :

https://brainly.com/question/13419413

#SPJ2

Help asap
Find the value of x. Round to the
nearest tenth.
3
4
X =
= [?]

Answers

Answer:

36.9°

Step-by-step explanation:

→ Identify the triangle required by seeing which side is not given

Hypotenuse is not given so we need to use Tan⁻¹ = Opposite / Adjacent

→ Substitute values in

Tan⁻¹ =  ( 3 ÷ 4 )

→ Simplify

36.9°

The question is on the problem no links please I will give brainliest

Answers

Answer:

54 cm ^ 2, 75.6 cm ^ 2, 129.6 cm ^ 2

Step-by-step explanation:

Equation for a triangle is A = (1/2) * b * h

Area of small triangle on the left: 0.5 * 9 * 12 = 54 cm ^ 2

Area of small triangle on the right: 0.5 * 12.6 * 12 = 75.6 cm ^ 2

Area of entire triangle: 54 + 75.6 = 129.6 cm ^ 2

Evaluate \frac{1}{4} \times 2 \frac{4}{5}
4
1

×2
5
4

. ​



Write the answer as a reduced fraction.​

​Use slash \left(/\right)(/) to separate numerator and denominator.

​Answer:​

Answers

Don’t click on it the link he sent

Answer:

bro gave me a virus

Step-by-step explanation:

dont click the link

Are these triangles similar? If yes, write a similarity statement.

Answers

Yes because they both have the same degrees, but one is slightly rotated

what is 91,360 in expanded form

Answers

Answer:

Expanded Notation Form:

 91,360 =

 90,000  

+ 1,000  

+ 300  

+ 60  

+ 0  

Expanded Factors Form:

   91,360 =

 9 × 10,000  

+ 1 × 1,000  

+ 3 × 100  

+ 6 × 10  

+ 0 × 1  

Expanded Exponential Form:

 91,360 =

9 × 104

+ 1 × 103

+ 3 × 102

+ 6 × 101

+ 0 × 100

Word Form:

91,360 =

ninety-one thousand three hundred sixty

Hope this helps! mark me as brainliest if possible, you dont have too!

Step-by-step explanation:

-2y + x +
3
How many terms are in the expression

Answers

Answer:3

Step-by-step explanation:

Let f(x) = 9 – x g(x) = 3 – x. Find (f – g)(x)

Answers

Answer:

Step-by-step explanation:

Remark

This would be easier to understand if it was written like f(x) - g(x). You might see what the question really is.

Equation

(f - g)x = f(x) - g(x)

Solution

(f - g)x = 9 - x - (3 - x)                       remove the brackets

(f - g)x = 9 - x - 3 + x

(f - g)x = 6

The periscope of a submarine is at sea level. The boat captain spots an airplane with
an elevation angle of 30°. The airplane is flying at an altitude of 2000 feet.

The straight line distance between the submarine and the airplane is...

Answers

Answer:

The airplane is 100.4 flying at an altitude of 30,000 feet. AB = 210,000 feet. At what angle is the plane descending (the angle of depression)?. Above is a picture of astronauts ...

7 pages·477 KB

The straight line distance between the submarine and the airplane is 4000 feet.

What is trigonometric ratio?

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let d represent the straight line distance between the submarine and the airplane. Hence:

sin(30) = 2000/d

d = 4000 feet

The straight line distance between the submarine and the airplane is 4000 feet.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Consider the following statement. ∀a ∈ Z, (a − 1) a is not an integer. (a) Select the correct negation for this statement. For every integer a, a − 1 a is an integer. There is an integer a such that a − 1 a is not an integer. For every integer a, a − 1 a is not an integer. There is an integer a such that a − 1 a is an integer. (b) Is the given statement true or false? If the statement is true, enter TRUE; if the statement is false, enter a value of a that could be used as part of a counterexample that justifies its falseness.

Answers

Answer:

a) There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

b) False

Step-by-step explanation:

Statement : ∀a ∈ Z,    (a − 1) a is not an integer

A) The correct negation will be :

There is an integer a such that  [tex]\frac{a-1}{a}[/tex] is  an integer

B) The Given statement is FALSE because

when we assume the value of a = 1

( a - 1 ) / a = (1 - 1 ) / 1 = 0   ;  which is an integer

Can anyone help me plz?

Answers

Answer:

[tex] y = \frac{1}{4}x + 1 [/tex]

Step-by-step explanation:

Line is passing through the points (0, 1) & (4, 2)

Slope of line = (2 - 1)/(4 - 0) = 1/4

y-intercept (b) = 1

Equation of line in slope-intercept form is given as:

[tex]y = mx + b \\ \\ y = \frac{1}{4}x + 1 [/tex]

Answer:

[tex]y = \frac{1}{4}x + 1[/tex]

Step-by-step explanation:

Slope intercept form allows one to write an equation for a line from only the y-intercept and the slope, so we need to identify those two things.

The slope is simply [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]=>[tex]\frac{2-1}{4-0}[/tex]=> 1/4

The slope intercept is the y value when x = 0, and since we have the point (0,1), the y-intercept must be 1

The equation is: y = mx + b where m is the slope and b is the intercept so the final equation is:

[tex]y = \frac{1}{4}x + 1[/tex]

Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500

Answers

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

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