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

d(t) = 50t
The variable t represents?

Answers

Answer:

Time

Step-by-step explanation:

d(t) basically means "distance of time"

The grid shows the number of hours four people worked and the total amount they each earned in dollars.

Total Amount Earned (dollars)

55

Yves

45+

40+

35+

Mia

30

25+

Sam

20+

Carlos

15+

10+

5+

+++++

0 1 2 3 4 5 6 7 8 9 10 11 12 13

Hours Worked

5

Which statement is true?

O A. Sam worked 20 hours and earned $5.

O C. Mia worked 35 hours and earned $7 an hour.

O D. Yves worked 5 hours and earned $50 an hour.

O B. Carlos worked 2 hours and earned $20.

Ok

Answers

Answer:

The correct statement are D and B.

Step-by-step explanation:

There are 4 data points on the grid labeled with names: Carlos at point (2, 20). Sam at point (5, 25). Yves at point (5, 50). Mia at point (7, 35).

The data can be represented in tabular form as follows:

Employees       Number of hours          Amount earned

  Carlos                        2                                  $20

   Sam                          5                                  $25

  Yves                          5                                  $50

   Mia                           7                                  $35

The provided data can be written in statement form as follows:

Carlos worked 2 hours and earned $20 an hour.Sam worked 5 hours and earned $25 an hour.Yves worked 5 hours and earned $50 an hour.Mia worked 7 hours and earned $35 an hour.

Thus, the correct statement are D and B.

30% of what equals 600

Answers

Answer: it equals 180 hope it helps

Answer:

180

Step-by-step explanation:

30% × 600 =

(30 ÷ 100) × 600 =

(30 × 600) ÷ 100 =

18,000 ÷ 100 =

180

Hope this helps!! Good luck on your assignment!

in quadrilateral abcd below,

Answers

Answer: where is the quadrilateral

Step-by-step explanation:

translation: 3 units left and 5 units down

Answers

( -3,-5) would be it dotted on a coordinate plane

How much of the pumpkin bread does edgar get in all find the quotient.
3 ÷ 5=??

Answers

Answer:

hi i am doing that i ready lesson right now the answer is 3/5

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

Add:
3 + 6 =
6 + (-4) =

Answers

Answer:

3 + 6 = 9

6 + (-4) = 2

Step-by-step explanation:

Answer:

9 and 2

Step-by-step explanation:

3 + 6 =

9

6 + (-4) =

6-4=

2

I will mark who ever right brainliest

Answers

Answer: answer is 155

Step-by-step explanation:

the answer is 2) $155

What is 70% of 9? (Change 70% to.70 and multiply by 9)

Answers

Answer:

6.3

Step-by-step explanation:

Answer:

W = 6.3

Step-by-step explanation:

Is means equals and of means multiply

W = 70% *9

W = .70*9

W = 6.3

Statements about regression
Which of the following are true about regression with one predictor variable (often called "simple regression")?
A. The total squared error divided by its degrees of freedom is the square of the standard error of estimate
B. The standardized regression coefficient, beta, has the same value as r, the estimated correlation
C. After conducting a hypothesis test to test that the slope of the regression equation is nonzero, you can conclude that your predictor variable, X, causes Y

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

It is true because the square of the standard error of its estimate was its total square error divided only by the degree of freedom.  It is true because Its coefficient with Standardized Regression, beta, will have the same value as r, the approximate similarity.  It is false because Its slope b, of its equation of regression, will have the same value as r, the projected correlation.

4/15 ÷ 10/13 pls help me​

Answers

Answer: 26/75

(4/15) ÷ (10/13) (Multiply the reciprocal of 10/13)

= (4/15) · (13/10) (Cancel out the common factor of 2)

= (2/15) · (13/5) (Multiply the numerators together and denominators together)

= 26/75

I mark as brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

:)

please help!!!!!!!!!!!!! will give brainliest.

Answers

Answer:

x<9 and x>1/13

1/13<x<9

Step-by-step explanation:

First, let's find the value of x in the first equation:

6((x-1)/2-(x-3)/3)<2*6

(3x-3)-(2x-6)<12

3x-3-2x+6<12

x+3<12

x<9

Now, let's find the value of x in the second equation:

13x-1>0

13x>1

x>1/13

Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.

Pls help I don’t know how to do this.

Answers

Answer:

If they are across from each other the angles are the same so divide 81 by 3 and thats your x value, so its 27

Convert 2∘F to ∘C round to one decimal place

Answers

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C

the sum of two the digits of two number digits is 11 if 45 os subtracted from the number the digits number will be reversed find the number​

Answers

Answer:

11 and 45=34

Step-by-step explanation:

dsnsnafsysjsbdfysjqbscs hi sweets

ANSWER NOW THE WORLD iS AT STAKE
2x + 8 > − 4


Translate the inequality into written language.
Find the solution set of
x
and describe how you would graph it on a number line.

Answers

Answer:

x>-6

Step-by-step explanation:

2x+8>-4

-8      -8

2x>-12

2x/2 > -12/2

x>-6

the open circle is going the way the symbol is going on the graph, which is >.

Answer:

x>-6

Step-by-step explanation:

escribe el número igaul a 5 decenas y 13 unidades​

Answers

Answer:

63

Step-by-step explanation:

the function is graphed below. On which interval of X is the average rate of change of the function the greatest?

Answers

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviation of 0.64°F. Using the empirical rule, find each approximate porcent

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

b. What is the approximate percentage of healthy adults with body temperatures between 97 71°F and 98.99°F?

a. Approximately % of healthy adults in this group have body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F

(Type an integer or a decimal. Do not round)

Answers

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

is 0.03 greater than 0.5

Answers

Answer:

no

Step-by-step explanation:

What is the correct counting for this measure of music?
A
B
C
????

Answers

Answer:

b

Step-by-step explanation:

A crotchet is one, a tied crotchet is 2-3, the quavers are 4 +

write model expression to show how much longer the round-trip to san diego is than the round trip to san jose. how many term does the expression have

Answers

Answer:

Product of 6 and a number. y÷9.

Given the equation 5(-2x -10) = 25(x + 1), solve for the value of x that will make the equation true.

Answers

Answer:

Step-by-step explanation:

5(-2x -10) = 25(x + 1)

-10x - 50 = 25x + 25

by transposing

-10x - 25x = 25 + 50

-35x = 75

x = -75/35

x = 15/7

or 2.142857..... in decimal

Hope this helps

plz mark as brainliest!!!!!!!

rx:
x – 6 = -3x + 22

Answers

Answer:

X= 7

Step-by-step explanation:

X + 3x = 22 + 6
4x = 28
X = 7

13=b 5=c what is the length of the missing leg

Answers

Answer:

The length of the missing leg is 12

Step-by-step explanation:

Right Triangles

A right triangle is a triangle that has an internal angle of 90°. In right triangles, the Pythagorean relation between its side length stands.

Suppose a and c are the smaller sides, also called 'legs' of the triangle, and b is the bigger side, also known as hypotenuse, then:

[tex]a^2+c^2=b^2[/tex]

We are given the hypotenuse b=13 and one leg c=5. Let's find the missing leg solving the above equation for a:

[tex]a^2=b^2-c^2[/tex]

Substituting:

[tex]a^2=13^2-5^2[/tex]

[tex]a^2=169-25=144[/tex]

Solving:

[tex]a=\sqrt{144}=12[/tex]

The length of the missing leg is 12

Please answer these giving brainliest to the first right person. 20 points.

Answers

Answer:

31.x>2

32.x<-2

33.x<5

34.x>0

Step-by-step explanation:

15,614+?=68,025
What is the total

Answers

Answer:

52411 that's the answer

can you please help me ​

Answers

Yes but there is no photo

Answer:

What would you like help on?

Step-by-step explanation:

Make 3 1/2 cakes in 20 minutes how many cakes can you make in two hours

Answers

Answer:

17

Step-by-step explanation:

3 1/2+3 1/2=5 which is 40 min

5=40mins

5+3 1/2=81/2

1 hour=8 1/12

8 1/2+8 1/2= 17

17 in two hours

Other Questions
A cubic function is stretched by a factor of 0.4, opening downward andshifted 10 units down and 5 units left. Student A: Types 32 words in 1 minuteStudent B: Types one word in 0.05 minutesWho types faster 6. Ngayong nasa Grade 9 na si Mergie ay lalo pa siyang ginanahang mag-aral ngmabuti upang makakuha ng average grade na 90 pataas dahil sa pangakongmamahaling cellphone ng kanyang mga magulang. Aling salik ng matalinongpagdedesisyon ang inilalarawan sa sitwasyon?a. Incentivesb. Marginal Thinkingc. Opportunity Costd. Trade-off what is the meaning of solvent Write 3 in factor form. ------- 43 3 3 33 4 = 124 4 44 4 4 4 which statement best describes the command economy used by the ancient Egyptians?????????? Help Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain. 15 points! Please I need some help this is due ... PLEASE HELP AND SERIOUS ANSWERS ONLY!!!!!Essential Question: How did abolitionists try to end slavery? What did individuals like William Garrison, Frederick Douglass, and Harriet Tubman do to try to end slavery? Make sure your answer is in 4-6 COMPLETE sentences!!! Photosynthesis is the process through which plants produce sugar and oxygen. Photosynthesis can also take place in single-celled organisms like phytoplankton and other microorganisms. The process of photosynthesis occurs differently from one organism to the next, but several features remain the same. In short, photosynthesis takes in water and carbon dioxide, uses sunlight as a catalyst, and produces oxygen and sugar. The plants release the oxygen through respiration. They digest or store the sugar. Although the process seems simple, it is the most important event on the planet as far as animal life is concerned. Oxygen is a byproduct of photosynthesis. Animals would not be able to breathe if it was not for this process. Herbivores live off these fruits and vegetables and form the basis of any food chain. Carnivores and omnivores would not be able to find food if it were not for these sugars. Were it not for the simple process of photosynthesis, the Earth would be an uninhabited planet.Animals would not be able to breathe if it was not for this process. How does this sentence help to develop the idea that photosynthesis is essential to animal life? A. It shows that animals depend on this process for oxygen. B. It suggests that photosynthesis occurs in all animals. C. It suggests that photosynthesis takes place in the lungs. D. It shows that animals depend on this process for food. Adjust list by normalizing When analyzing data sets, such as data for human heights or for human weights, a common step is to adjust the data. This can be done by normalizing to values between 0 and 1, or throwing away outliers. For this program, adjust the values by subtracting the smallest value from all the values. The input begins with an integer indicating the number of integers that follow. Assume that the list will always contain fewer than 20 integers. Ex: If the input is: 5 30 50 10 70 65 the output is: 20 40 0 60 55 The 5 indicates that there are five values in the list, namely 30, 50, 10, 70, and 65. 10 is the smallest value in the list, so is subtracted from each value in the list. For coding simplicity, follow every output value by a space, including the last one. On September 1, Boylan Office Supply had an inventory of 30 calculators at a cost of $18 each. The company uses a perpetual inventory system. During September, the following transactions occurred. Sept. 6 Purchased with cash 80 calculators at $20 each from Guthrie Co. Sept. 9 Paid freight of $80 on calculators purchased from Guthrie Co.Sept. 10 Returned 3 calculators to Guthrie Co. for $63 cash (including freight) because they did not meet specifications. Sept. 12 Sold 26 calculators costing $21 (including freight) for $31 each on account to Lee Book Store, terms n/30. Sept. 14 Granted credit of $31 to Lee Book Store for the return of one calculator that was not ordered. Sept. 20 Sold 30 calculators costing $21 for $32 each on account to Orr's Card Shop, terms n/30.Journalize the September transactions. (Change to affirmativewithout changing the meaning) 1- I am not happy with your decision 2- Shaheem is not as short as Raheem 50 Points, Will mark brainliest!Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.mACD=(5x+25), mBDC=(25x+35) a.15. What was the primary consequence of the War of 1812?Boost in American nationalismb. Addition of western territoryC. Collapse of the Bank of the United Statesd. Defeat of the Republican Party Why do you think each group of Native Americans eventually surrendered or stopped their resistance to the U.S.? How would the location of the capital of the Empire help control it? (it's talking about Rome btw) Ray has football practice on Mondays, Wednesdays, and Fridays. The clocksbelow show when practice starts and ends. How many minutes does Ray spendat football practice each week?A:180B:45C:225D:135 A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infusion. Whats the total volume of the iv? Professor Huosheng Hu's fish robots can swim around on their own. No one has to control them. Hu hopes to put some of the robots into the ocean. Like the other robots, the fish will have a job. They will look for pollution, like oil leaks from ships. Then people can come and clean the dirty water.The robots will ___ pollution . locate avoid removetrap