In a certain lottery, 5 numbers between 1 and 13 inclusive are drawn. these are the winning numbers. how many different selections are possible? assume that the order in which the numbers are drawn is not important. a. 1287 c. 371,293 b. 154,440 d. 120

Answers

Answer 1

The order in which the numbers are drawn is not important will be 1287.

What is the combination?

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

When order of selecting things does not matter, then the combination odd n things taking r at a time is given by :-

[tex]nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

Given : The total numbers in lottery = 13

The total numbers to choose to win the lottery =- 5

Then the combination of 13 numbers taken 5 at a time is given by

[tex]13C_r=\dfrac{13!}{5!(13-5)!}=1287[/tex]

Hence the order in which the numbers are drawn is not important will be 1287.

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Related Questions

Which goes with which?? Please help and only answers that make sense

Answers

conerectangular prismcylindertriangular prismsquare pyramid

hope it helps...!!!

Answer:

Check the image That’s I provided

The ratio of the quantities of salt to baking soda needed to complete a science experiment is 3:7. What is the quantity of salt in grams needed for this experiment, if 420 grams of baking soda is used to complete the experiment?

Answers

The quantity of salt in grams needed to complete the experiment is 180 grams.

What are ratios?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

What is the quantity of sat needed?

Quantity of salt needed = (grams of baking soda x ratio of salt) / ratio of baking soda

(3 x 420) / 7 = 180 grams

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3) Elliott is using cement circles to
create a walkway from his deck to his
driveway. One circle has an area of
200.96 inches. What is the radius of
one of the circles?

Answers

Answer: The radius is 8 inches

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^2=A[/tex]

Where

A is the area (200.96 for this)

[tex]\pi[/tex] is pi (we'll round it to 3.14 for this)

and r is the radius

Let's sub in our values and solve for r

[tex]3.14r^2=200.96[/tex]

Divide both sides by 3.14 to isolate [tex]r^2[/tex]

[tex]\frac{3.14r^2}{3.14} =\frac{200.96}{3.14} \\\\r^2=64[/tex]

Take the square root of both sides to cancel the square

[tex]r^2=64\\\sqrt{r^2} =\sqrt{64} \\r=8[/tex]

Please help out asap thanks

Answers

Answer:

there all below

Step-by-step explanation:

Mean: 51.5

There is no mode so you would put "No mode.''

Median: 51

hope this helps <33

Enter the values of h and k so that y = x2 6x 10 is in vertex form. y = (x )2

Answers

Answer:

120

Step-by-step explanation:

2x6x10 gives you the answers

Answer:

3 | 1

EDGE2022; Good Luck :3!!!

Baxter has a sandbox that holds Kinetic sand. The diagram
below shows the dimensions of the sandbox.
Baxter’s dad fills his sandbox to half its capacity. Which equation

can be used to find the volume of the sand in Baxter’s sandbox?




V=12(4+334+1112)



V=(4)(154)(1112)



V=12(4⋅334⋅1112)

Answers

For any polygon:-

Volume=Area of base×Height

Here

Base is triangle

Area=

1/2(4)(3)2(3)6cm²

Volume:-

6×530cm²

Consider the function f(x) = 3x2 7x 2. what is the value of the discriminant? how many x-intercepts does this function have? what are the number of zeros for this function?

Answers

The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

How to find the value of discriminant?

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

[tex]D=b^2-4ac[/tex]

The given quadratic function is,

[tex]f(x) = 3x^2 +7x+ 2[/tex]

Compare it with standard form, we get,

[tex]a=3\\b=7\\c=2[/tex]

Thus, the value of discriminant is,

[tex]D=(7)^2-4(3)(2)D=49-24\\D=25[/tex]

The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.

Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

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Answer:

The value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

How to find the value of discriminant?

The standard form of the quadratic equation is,

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

The given quadratic function is,

Compare it with standard form, we get,

Thus, the value of discriminant is,

The value of discriminant is positive. Thus, the quadratic equation has two real solution and 2 zeros.

Hence, the value of the discriminant is 25, there are 2 x-intercepts does this function have and the 2 number of zeros for this function has.

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Step-by-step explanation:

3. Triangle ABC with AB = 3 cm, LABC = 40°,
=
and Z BAC = 70°.

Construct a triangle with the given conditions

Answers

Answer: Right angled triangle

Step-by-step explanation: Find picture attached

Ursula drew a polygon in which all the angles were obtuse. What kind of polygon could she have drawn?

Answers

Each angles of a polygon with 5 sides and more, that is pentagon, hexagon and so on have angles which are all obtuse.

What is an angle?

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angled.

An obtuse angle is an angle which is greater than 90 degrees.

Each angles of a polygon with 5 sides and more, that is pentagon, hexagon and so on have angles which are all obtuse.

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Find the SURFACE AREA of the shape below. Do NOT label your answer! (Ignore the red line that looks like a 1. I don't know why it showed up on the picture

Answers

Answer:

486in²

Step-by-step explanation:

The solid given above is a cube.

(all sides are equal)

SA of cube

= 6a²

= 6(9²)

= 6(81)

= 486

How many millimeters are in 4.06 meters

Answers

Answer is 4060

hope this is helpfulhelpful

Chris is calculating his deductions for his tax return. he is filing singly. he can claim $1,813 from property taxes, $1,513 from medical expenses, and $761 from state income tax. the standard deduction for a single filer is $5,700. how does the standard deduction compare to chris’s deductions? a. chris’s deductions are $1,437 more than the standard deduction. b. chris’s deductions are $2,087 less than the standard deduction. c. the standard deduction is $1,613 more than chris’s deductions. d. the standard deduction is $664 less than chris’s deductions.

Answers

The correct answer will be option c the standard deduction is $1,613 more than chris’s deductions.

What is tax?

Tax is a compulsory contribution to state revenue, levied by the government on workers' income and business profits, or added to the cost of some goods, services, and transactions.

Chris's deductions for tax return = claim from property taxes +claim from medical expenses+claim form state income tax

= $1813+$1513+$76

= $4087

Standard deductions = $5700

Difference between standard deduction and Chris's deductions

= 5700-408

= $1613

Hence standard deductions is better than Chris's deductions by $1613

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Answer: (C)

Step-by-step explanation:

Chris's deductions for tax return = claim from property taxes +claim from medical expenses+claim form state income tax

             = $1813+$1513+$761

             = $4087

Standard deductions = $5700

Difference between standard deduction and Chris's deductions = 5700-408

                                                                 = $1613

Hence standard deductions is better than Chris's deductions by $1613

Therefore, option (C) is correct.

Choose the function that represents the data in the table. f(x) = x200 – 7 f(x) = 200x – 7 f(x) = 200x2 – 7 f(x) = 200x – 7

Answers

The linear function that represents the data in the table is given by:

f(x) = 200x - 7.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Researching the function on the internet, it is found that:

When x = 0, y = -7, hence the y-intercept is of b = -7.When x increases by 1, y increases by 200, hence, the slope is of m = 200.

Thus, the function is given by:

f(x) = 200x - 7.

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Answer:

b

Step-by-step explanation:

f(x)=200x-7

How many students in the survey said that math was their favorite subject? 42 81 120 123

Answers

Answer:

In the survey, 123 students picked math as their favorite subject.

Step-by-step explanation:

Answer:123 was chosen by the students since it is their favorite subject.

Which expression is equivalent to (4 × 8) + (4 × 3)?


A. 4 + (8 x 3)


B. 4 + (8 + 3)


C. 4 x (8 x 3)


D. 4 x (8 + 3) .... i need help asapppp

Answers

Answer:

D.

Step-by-step explanation:

(4 x 8) + (4 x 3)=44

4 x (8 + 3)=44

Delta Math: Angle Terminology with Equations

Answers

[tex]3x-30=2x-9\\\\\implies 3x -2x = -9 +30\\\\\implies x = 21[/tex]

Vertical angles are equal

3x-30=2x-93x-2x=-9+30x=21

Done!

Which of the following comics represents a circle?

Answers

Answer:

B. x² + y² - 4x +8y +11 = 0

Step-by-step explanation:

B. is the only one that represents a circle. Option A forms an oval, option C forms an X, and option D forms a regular function.

hope this helps!

wrong answers will be deleted

Answers

letter b :) its a little above 2, but not enough to be 2.5


Sasha spins a spinner with 2 happy face sections, 1 sad face
section, 2 mad face sections, and 1 confused face section. What is the probability the spinner does NOT land on a mad face?

Answers

Answer:

Step-by-step explanation:

The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.    

.Hope this helps you!!

What is the height of a cylinder with a volume of 936 pi cubic inches and a diameter of 24 inches?
1.625 inches
4.75 inches
6.5 inches
39 inches

Answers

Answer:

6.5 inches

Step-by-step explanation:

Finding the height of the cylinder

Volume = 936 π in³

diameter = 24 inches

r = 24 ÷ 2

r = 12 inches

Volume = 936π

πr²h      = 936π

         [tex]\bf \sf h= \dfrac{936 \pi }{r^2*\pi }\\\\h = \dfrac{936 * \pi}{12*12* \pi}\\\\h = \dfrac{936}{12*12}\\\\\\\boxed{height = 6.5 \ inches}[/tex]

Answer:

6.5 i got 100

Step-by-step explanation:

what is the solution to the system y=4x+3 y=-1/4x+3

Answers

Answer:

Addition/Elimination

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

(0,3)

Equation Form:

x=0,y=3

help me solve for “U”. Please and thanks

Answers

Answer:

  u = 12

Step-by-step explanation:

To solve for the variable, undo the operations done to it, starting with the last one.

  u/3 -2.25 = 1.75 . . . . . . given

  u/3 = 4.00 . . . . . . . . add 2.25 to both sides

  u = 12 . . . . . . . . . . multiply both sides by 3

Determine the total annual fica tax for an annual salary of $38,480. a. $294.37 b. $717.96 c. $2,385.76 d. $2,943.72 please select the best answer from the choices provided a b c d

Answers

The total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

What is the FICA tax?

FICA tax comprises Social security tax + Medicare tax.

Where: Social security tax=6.2%, Medicare tax=1.45%, FICA tax =7.65%

The total annual fica tax for an annual salary of $38,480 is given by;

FICA tax=($38,480×6.2%)+($38,480×1.45%)

FICA tax=$2,385.76+$557.96

FICA tax= $2,943.72

Hence, the total annual FICA tax for an annual salary of $38,480 is D $2,943.72.

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what association does the scatter plot show?
Answer asap

Answers

The numbers go up in a linear fashion (by 1)

So, positive linear association

what is the general rule of 3;0;-3​

Answers

Answer:

-3

Step-by-step explanation:

The general rule can be found by noticing patterns such as the numbers get smaller by 3 from the first term 3 towards the next 0 and towards next one -3

term 1: 3

term 2 : 3 -3 = 0

term 3 : 0 -3 = -3

The general rule of 3;0;-3​ is subtract 3

3x(7)+23

what's the answer? ​

Answers

Answer:

21x+23

Step-by-step explanation:

Answer:

The answer is 21x+23

Step-by-step explanation:

Since it's parentheses you can multiple 3 by 7 which is 21.

1. Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.​

Answers

given:

weekly raise= $145

to find:

an integer describing how the raise will affect her paycheck.

solution:

Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of $ 145.

So after completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

therefore, in this way end of every week her salary will increase by $ 145.

Gagu is paid £1200 per month.

He is going to get a 4% increase in the amount of money he is paid.

Work out how much Gagu will be paid per month after the increase.

Answers

Answer:

£1248

Step-by-step explanation:

1200x4%

=£48

1200+48=£1248

Gagu will be paid £1248 after the increase.

The amount Gagu paid per month after the 4% increment is £1248

What is the method to calculate x% increment?

If there is x% increment in y then the increment will be (x/100)*y and the  new amount after x% increment will be now  y + (x*y)/100

Given that Gagu is paid £1200 per month. He is going to get a 4% increase in the amount of money he is paid.

Initial payment  = £1200

4% increment  = 4% of initial pay  = 4(1200)/ 100 = £ 48

After increment new payment = Initial payment + 4% increment = 1200+48

                                                                                                          =  £1248

Therefore, The amount Gagu paid per month after the increase is £1248

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solve for the varabile a -10=a/5-2

Answers

Answer:

[tex]a - 10 = \frac{a}{5 } - 2 \\ \\ \implies \: a - 10 = \frac{a - 10}{5} \\ \\ \implies \: 5a - 50 = a - 10 \\ \\ \implies \: 5a - a = - 10 + 50 \\ \\ \implies \: 4a = 40 \\ \\ \implies \: a = \cancel\frac{40}{4} \\ \\ \implies \: a = 10[/tex]

hope helpful ~

Answer:

a-10=a/5-2

a-10=a/3

3(a-10=a/3)

3a-30=a

3a-a=30

2a=30

a=15

Geometary formulas 7th grade

Answers

Sum of the interior angles of a polygon. (number of sides - 2) 180.

Area of a rectangle or a parallelogram. A = bh.

Area of a triangle. A = ½ bh.

Area of a trapezoid. A = ½ (b₁+b₂) h.

Area of a circle. A = πr²

Circumference of a circle. C = πd.

Surface area of a prism. S = 2B + Ph.

Surface area of a cylinder.

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