A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. (There are 13 cards in each suit.)

Count the number of ways in which four cards, each of a different face value, can be chosen.
ways

Answers

Answer 1

Answer:

17160

Step-by-step explanation:

first there are 13 options

then there are 13 - 1 that was chosen

then there are 13 - 2 that were chosen

then there are 13 - 3 that were chosen

so that's 13 options, then 12 options, then 11 options, and then 10 options

and in order to figure out all of the possibilties we mutiply the options so

13*12*11*10 = 17160

little further explaining of why this works:

we have a set of letters (3 in a set)

A B C

what are the possible combinations?

AB

AC

BC

BA

CA

CB

the answer is 6 which is also 3 * 2 * 1 = 6

HOPE THAT HELPS!1! ^_^

Answer 2

Using the Fundamental Counting Theorem, it is found that there are 28,561 ways in which four cards, each of a different face value, can be chosen.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, four cards are chosen, each with 13 ways, hence [tex]n_1 = n_2 = n_3  = n_4 = 13[/tex], and:

[tex]T = 13 \times 13 \times 13 \times 13 = 13^4 = 28561[/tex]

There are 28,561 ways in which four cards, each of a different face value, can be chosen.

A similar problem is given at https://brainly.com/question/19022577


Related Questions

Please help will give brainliest answer

Answers

Answer:

side C'D' = 2.8 units

Step-by-step explanation:

Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)

Therefore side C'D' = 2.8 units

Side cd is 2.8 units

Carlos went to Kroger and spent $9.00. He spent 1/4 of his money on games. How
much money was spent on games?

Answers

Answer:

$2.25

Step-by-step explanation:

9/4=2.25

checking work:

2.25+2.25=4.50

4.50+4.50=9

Simplify the given expressions.

(7−2)2−(2+1)(2−5)

Answers

Answers 19 hope it helps you :)!

The answer is 19. ( i think)

Need help Fast Inputs & outputs : equation

Answers

Answer:

-3

Step-by-step explanation:

-9t-4=23

-9t=27

t=-3

In a square what is the relationship between the length and the side of the area?

Answers

Answer:

Length X width = area

Step-by-step explanation:

Hope this helps

-cz+6z= tz+83
solve for z

Answers

Answer:

z =  83  /( -c+6-t)

Step-by-step explanation:

-cz+6z= tz+83

Subtract tz from each side

-cz+6z -tz= tz-tz+83

-cz+6z- tz=83

Factor out a z

z( -c+6-t) = 83

Divide by ( -c+6-t)

z( -c+6-t)/( -c+6-t) = 83  /( -c+6-t)

z =  83  /( -c+6-t)

Which of the following options best describes a line graph?

a) graph comparing quantities represented by bars

b) graph showing trends in categorical data

c) graph that displays the rate of change of two variables

d) graph comparing the rate of change of two or more quantities

Answers

Answer:

i hope im not to late but i think its c

A line chart is a graph that shows the rate at which two variables evolve.

Option c) is correct.

Define Graph.

A graph is a representation of the relationship among different sets of numbers or measures.

A graph is just a data structure made up of a finite number of nodes (or vertices) and the edges that link them.

A line chart is a graph that shows the rate at which two variables evolve.

So, option c) is correct.

Find out more information about graph here:

https://brainly.com/question/9794343?referrer=searchResults

What is the opposite of -9

Answers

Answer:

positive 9

Step-by-step explanation:

Answer:

the answer is positive 9

Step-by-step explanation:

just positive 9

which expression means 8 less twice a number
8-2n
2n-8

Answers

Answer:

I think 2n-8 because you are taking 8 away from 2 times a number

Step-by-step explanation:

The rectangle below has been enlarged by a scale of 3.5

Answers

you put “the rectangle below” but it doesn’t show any rectangle and what’s the question ?

Answer:

D: 588

Step-by-step explanation:

The rectangle below has been enlarged by a scale of 3.5

8 x 3.5 = 28

6 x 3.5 = 21

A juice box has a length of 2 inches, a width of 1 inch, and a height of 4 inches. What is the volume of the juice box?

Answers

Answer:

8 in

Step-by-step explanation:

L × W × H = V2 × 1 × 4 = 8 in

I hope this helps!

The width of a rectangle is twice the length. The perimeter is 102 feet. Find the dimensions .

Answers

Answer:

he formula for perimeter is the sum of

twice the width and twice the length, so

the formula would be:

Perimeter = 2W + 2L

 

In this problem:

Width is unknown (x)

Length is twice the width (2x)

and Perimeter = 60, so to set it up:

102= 2x + 2(2x)

102= 2x + 4x

102 = 6x

x = 10

Step-by-step explanation:

I DONT KNOW MUCH ABOUT THIS TOPIC . I HOPE IT HELPS

4/5 to a decimal show work
2/3 to a decimal show work​

Answers

Answer:

4/5= 0.8

2/3= 0.66666666667

Step-by-step explanation:

scientists are studying a population of 20 bugs and tracking the population, y, as it grows over time, t, in weeks. If the population grows by at least 6.1% each week, which system of inequalities represents the scenario?

Answers

Answer:

I am pretty sure it is

y >_ 20(0.061)^t

t >_ 0

Step-by-step explanation:

2. The assessed value of the Oscar's house is $159,000. The
annual property tax is rate 4.23% of the assessed value.
What is the annual property tax on the Oscar's house?

Answers

Answer:

6725.70

Step-by-step explanation:

159000 * 0.0423 = 6725.70

40,984 rounded to the nearest ten thousand

Answers

Hi friend! Hope this helps!

40,000.

Ms. Watts is a famous motivational speaker. She travels across the country by jet and gives an average of ten presentations a week

She gives her speeches in auditoriums that are always full and hold an average of 1000 people each. She charges $40 per person

at each of these speeches. Her average expenses for each presentation, including renting the auditorium, are about $15,000. The

cost of meals, motels, jet travel, and support personnel total $75,000 per week. How many weeks will Ms Watts need to travel if she

wants to earn $1,400,000 per year?

Answers

Answer:

5 weeks

Step-by-step explanation:

We are told that the auditorium holds an average of 1000 people each.

And that she charges $40 each.

Thus;

Total income for each speech is;

1000 × 40 = $40000

Since she gives an average of 10 presentations each week.

Total income per week = 10 × 40000 = $400,000

Now,the expenses she makes for each speech weekly is;

Renting auditorium = $15000

Motel, jet expenses, support personnel = $75000

Thus,

Total expenses per week = 15000 + 75000 = $90000

Now, total profit per week is;

P_weekly = Total income per week - Total expenses per week

P_weekly = $400000 - $90000

P_weekly = $310000

There are 52 weeks in a year, thus, profit in a year is;

P_yearly = 52 × 310000 = $16120000

Now, we want to find out how long it took her to make $1,400,000 a year.

We know that;

$16120000 was achieved in 52 weeks

Thus;$1,400,000 will be achieved in;

(1400000 × 52)/16120000 = 4.52 weeks approximately 5 weeks.

A water feature that could be a source of groundwater for humans is found at a location on a hillside where Earth’s surface is lower than the water table.


Ill mark brainliest


What type of feature might be observed at this location?


spring

aquifer

artesian well

unsaturated zone

Answers

Answer:

aquifer=b

Step-by-step explanation:

aquifer =

b edgu 2020



AT&T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents per minute. At how many minutes does a call cost the same no mater what company you use?

Answers

Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements
A 1 pound of blueberries cost $2.75
B 2.75 pounds of blueberries cost $1
C 5pounds of blueberries cost $15
D 12 pounds of blueberries cost $33
E The point (3,9) is on the graph of the proportional relationship

Answers

Answer:

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

A linear graph is represented by a straight line

The true options are:

A. 1 pound of blueberries cost $2.75 D. 12 pounds of blueberries cost $33

The points on the graph are:

[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]

[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]

The slope (m) of the graph is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]

[tex]\mathbf{m = \frac{16.50}{6}}[/tex]

[tex]\mathbf{m = 2.75}[/tex]

The above means that: 1 pound of blueberries costs $2.75

Hence, (a) is true, and (b) is false

Multiply 2.75 by 5, to get the cost of 5 blueberries

[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]

This means that: (c) is false

Multiply 2.75 by 12, to get the cost of 12 blueberries

[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]

This means that: (d) is true

(e) is false, because:

[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]

Hence, the true options are: (a) and (d)

Read more about linear graphs at:

https://brainly.com/question/11804653

Please Help Me With This Math ;(

Answers

On the interval (8,24), the rate of change is 10.625 bacteria per minute.

9: 5.96 dollars per year on the interval (0,9)
10: 6.43 dollars per year on the interval (6,12)

Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?

Answers

Answer:

4

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

Divide the number 484 into two parts in a ratio of 7 : 4. How much bigger is the first number than the second number?

Answers

Answer:

I don't known

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First, obtain the total of the ratio:

7+4 = 11

Then, make equations:

[tex]\frac{7}{11} =\frac{x}{484}[/tex]      and     [tex]\frac{4}{11} =\frac{x}{484}[/tex]

Next, solve:

11x = 7*484   →    11x = 3388    →    x = 308

11x = 4*484   →    11x = 1936     →    x = 176

Finally, find the difference:

308 - 176 = 132

(**If it is asking how many times bigger... 308/176 = 1.75 or  [tex]\frac{7}{4}[/tex] )

What digit is in ten thousands place 983,471?

Answers

7

The digit in ten thousandths place is 7 as it is the fourth digit to the right of decimal point.

Answer:

8

Step-by-step explanation:

9= one hundred thousands

8= ten thousands

3= one thousands

4= one hundreds

7= tens

1= ones

Help meeee pleaseeeeee

Answers

Answer:

B.

Step-by-step explanation:

I think its B because the Y comes before the slope

Answer ASAP: What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common factor?

Answers

Answer:

55 + 45 = 90

90 divided by  45 = 2

90 divided by 9 = 10

Step-by-step explanation:

Plz help Plz help
Ella played a math game and had the five cards shown.
7 0 -4 -10

Her score was the sum of the numbers on these five cards. What was Ella’s score?
3


23

−5


Not here

Answers

Answer:

-7 (Not here)

Step-by-step explanation:

1. A negative plus a negative equals a negative/ a negative minus a positive equals a negative so: -10 -4 = -14

2. -14 + 7 = -7 so your answer is -7 and it's not an answer choice so you would select "Not here"

5. The total number of people who went to Disneyland this weekend was
6,405. If the ratio of boys to girls is 7 to 9 for those that attended, what was
the TOTAL number of boys and girls that went to Disneyland this weekend?
Show your work or explain your thinking.

Answers

Answer:

2,802 boys and 3,693 girls went to Disneyland this weekend

Step-by-step explanation:

System of Equations

Let's call:

b = Number of boys who went to Disneyland this weekend.

g = Number of girls who went to Disneyland this weekend.

The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:

[tex]b+g=6,405\qquad\qquad [1][/tex]

The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:

[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]

To eliminate denominators, multiply [2] by 9g:

[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]

Simplify:

[tex]9b=7g\qquad\qquad [3][/tex]

From [1]:

[tex]b=6,405-g[/tex]

Substituting into [3]

[tex]9(6,405-g)=7g[/tex]

Operating:

[tex]57,645-9g=7g[/tex]

Simplify:

[tex]16g=57,645[/tex]

Solve:

[tex]g=57,645 / 16 \approx 3,603[/tex]

Take the approximate value:

g=3,603

Find b:

[tex]b=6,405-3,603=2,802[/tex]

2,802 boys and 3,693 girls went to Disneyland this weekend

Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.

pls tell meeeeeeeeeeeeee

Answers

Girl you just have to divide 128 and 8

y+7=y–3 how many solutions does this equation have?

Answers

Answer:

No value

Step-by-step explanation:

Y has zero solutions

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