A state lottery game consists of choosing one card from each of the four suits in a standard deck of playing cards. Each suit has 13 cards.

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

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


Related Questions

Which is NOT true?
+
A.
5 + 14 = 20.- 1
B.
9 + 5 = 7 + 7
15 = 4 + 11
D.
15 - 9 = 9-4
What’s the answer

Answers

Answer:

D. 15 - 9 = 9-4

Step-by-step explanation:

Thank You :3

Answer:

D

Step-by-step explanation:

ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 41°, what is the
measure of ZQRS?
MZQRS = [?]

Answers

Answer:

Solution given:

<ABC+<QRS=180° (supplementary)

m<QRS=180°-41°=139° is your answer

Hurry The mass of a standard hockey puck
must be at least 156 grams. What is
this weight in kilograms

Answers

Answer:

.156 kg

Step-by-step explanation:

The conversion from grams to kilograms is kg = g/1000

156/1000 = .156

calculate the reciprocal of -0.07 correct to 1 decimal place

Answers

Answer:

-14.3

Step-by-step explanation:

Use a calculator.

1/(-0.07) = -14.2857...

Answer: -14.3

Find the area of the sector.

Answers

Answer:

359.1887600604 so D should be right    

What quantity could go into the blank to make the equation a true statement? 5a + a + ___ = 10a

Answers

Answer:

[tex]4a[/tex]

Step-by-step explanation:

Just like addition.


2. Which of the following congruence statements is true?

(A) A = B
(B) CE = DE
(C) AED = CEB
(D) AED = BEC

GEOMETRY

Answers

Answer:

D)

hope it helps..........

Answer:

D is the correct answer

hope it is helpful to you ☺️☺️☺️

Find the area of the shaded region and choose the appropriate result.

Answers

Answer:

B)  12 cm²

Step-by-step explanation:

find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²

A vehicle factory manufactures cars. The unit cost C(the cost in dollars to make each car) depends on the number of cars made. If x cars are made, then the unit cost is given by the function C(x)=0.7x^2-420x+81,610. How many cars must be made to minimize the unit cost? Do not round your answer.

Answers

Answer:

300 cars must be made to minimize the unit cost

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a>0, the vertex is a minimum point, that is, the minimum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

The cost of producing x cars is given by:

[tex]C(x) = 0.7x^2 - 420x + 81610[/tex]

So a quadratic equation with [tex]a = 0.7, b = -420, c = 81610[/tex]

How many cars must be made to minimize the unit cost?

This is the xvalue of the vertex. So

[tex]x_v = -\frac{b}{2a} = -\frac{-420}{2*0.7} = \frac{420}{1.4} = 300[/tex]

300 cars must be made to minimize the unit cost

What is the answer please help no links I will report

Answer choices

Five days

Four days

Six days

Answers

Five days.

Monday, Tuesday, Wednesday, Thursday, and Saturday are all above 15 on the chart.
Five days because the whole week is above 15

madyson has 2 vases of flowers. Each vase has 6 flowers. Madyson must divide the flowers equally into three vases. how many flowers will be in each vase?

Answers

4 flowers because if you have 6 in both vases, you add those 6 together which make 12. Then you divide 12 by 3 and you get 4

Questions and answers attached

Answers

Answer:

(3)(c) + 43 ≥ 100

Step-by-step explanation:

Given:

Total number of friends = 3 friends

Number of card already have = 43

Total number of card at least want to collect = 100

Find:

Inequality

Computation:

Assume;

Same number of card each friend collect = c

Total number of card at least want to collect ≤ (Total number of friends)(Same number of card each friend collect) + Number of card already have

Total number of card at least want to collect ≤ (3)(c) + 43

100 ≤ (3)(c) + 43

(3)(c) + 43 ≥ 100

Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?

Answers

500 ft 125x 4 your welcome

pls help
round to the nearest tenth, if needed.

Answers

Answer:

[tex]\pi[/tex] or 3.1

Step-by-step explanation:

The total area of the circle is [tex]3^2\pi[/tex]. The central angle of the shaded region is 40 degrees so we have to multiply [tex]3^2\pi[/tex] by [tex]\frac{40}{360}[/tex] or [tex]\frac{1}{9}[/tex]. 3 squared is 9 so 9[tex]\pi[/tex] times [tex]\frac{1}{9}[/tex] is just equal to [tex]\pi[/tex]. [tex]\pi[/tex]=3.14159265... rounded to the nearest tenth is 3.1

Use the figure below to answer the question. What is the measure of ∠ABC? *

Answers

Answer:

D 98°

Step-by-step explanation:

180-82 = 98 or the long way

3x+5 = 180-82

3x = 93

x = 31

3(31) + 5 = 98

What is a cubic polynomial function with zeros -13, -2, and 7?

Answers

Answer: x^3+8x^2-79x-182

Step-by-step explanation:

(x+13)(x+2)(x-7)=x^3+8x^2-79x-182

1. Given sin B = 5/13 in QII, and (6.-8) is on the terminal side of a find the exact value of
sin(a + b).

Answers

Answer:

Step-by-step explanation:

that's difficult dude I'm just in grade 4

Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2 + 5) = 6 − 10 –

Answers

ppppp)is dilated from the origin by scale factor r to the world

Solve for y. Take you time

Answers

Answer:

equation ?

Step-by-step explanation:

where is the equation

ANSWER IMMEDIATELY! GIVING BRAINLIEST !!

Answers

Answer:

B.

Hope It help

Step-by-step explanation:

Brainliest p please


Please help!!
Find the coordinates of the vertex of the following parabola algebraically. Write your
answer as an (x, y) point.
y = 4x + 56x + 192

Answers

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

Step(i):-

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

Step(ii):-

The general form of the parabola in algebraically

                              y = a ( x-h)² +k

The equation

                          y = 4 ( x + 7 )² - 4

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

Final answer:-

The vertex of the parabola  = (-7 , -4)  

Help me pleas I need help to solv this problem

Answers

Answer:

(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?

Step-by-step explanation:

6 x (36÷12)2 + 8 = =

Answers

6*(36/12)2+8

=44

Hope this helped :T

Answer: 44

Step-by-step explanation: PEMDAS tells us to solve what’s in the parentheses, exponents, then multiply, divide, add, and subtract from left to right.

A 12-pound bag weighs more than a 200-ounce bag. True or false

Answers

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

Answer:

false

Step-by-step explanation:

12 pound=192 ounces


Please, Answer is needed.

Answers

Answer:

540 mins | 9 hours | 540, 9

420 mins | 7 hours | 420, 7

300 mins | 5 hours | 300, 5

180 mins | 3 hours | 180, 3

Step-by-step explanation:

1 hour = 60 mins

To convert hours into minutes, multiply the number of hours by 60 minutes:

9 hours × 60 mins = 540 mins

7 hours × 60 mins = 420 mins

5 hours × 60 mins = 300 mins

3 hours × 60 mins = 180 mins

Answer:

9          540,     540,9

7          420      420,7

5          300      300,5

3           180      180,3

                 

                   

                     

Step-by-step explanation:

There is 60 in one hour

9      *60    540,     540,9

7     *60     420      420,7

5     *60    300      300,5

3      *60    180      180,3

Hope that helps

A standard bathtub holds 60 gallons of water. A full tub drains 12 gallons per minute. Which of the following tables best represents the situation?

Answers

J.

x represents the minutes and y shows how many gallons over that time.

The correct table for best represents the situation is shown in Table J.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A standard bathtub holds 60 gallons of water.

And, A full tub drains 12 gallons per minute.

Now, From table J;

Rate of change is,

⇒ (24 - 12) / (2 - 1)

⇒ 12 / 1

⇒ 12 gallons per minutes

Which is given in situation.

Thus, The correct table for best represents the situation is shown in Table J.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

if x square plus 9 equal to 25,what is the positive value of x.​

Answers

Answer:

4

Step-by-step explanation:

25 - 9 = 16

4^2 = 16

4^2 + 9 = 25

A spinner is divided into equal sections, each labeled with a number between one and five. Over the course of 150 spins, what is the best estimate of how many times you would expect that the hand of the spinner will stop on a 3?

Answers

140 is the answer for this question your welcome

a rectangle with an area of 4/7m^2 is dilated by a scale factor of 7 what is the area of the dilated rectangle enter your answer in the box do not leave answer as a fraction

Answers

9514 1404 393

Answer:

  28 m²

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor.

  A' = 7²×A

  A' = 49×(4/7 m²) = 28 m²

The area of the dilated rectangle is 28 m².

Find the circumference and the area of a circle
with the dimensions listed. Use the value 3.14 for π
,and do not round your answers. Be sure to
include the correct units in your answers.

a) diameter of 3 cm

b) radius of 5 ft

Answers

Step-by-step explanation:

Circumference

C = 3.14x3

C = 9.42cm

Area

A = 3.14xr²

A = 3.14x25

A = 78.5ft

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