Trina purchases 10 tickets from a charity raffle. Each ticket in the raffle has 6 different numbers between the numbers 1 and 20. If there is only one prize, what is the probability of Trina winning the prize? Express your solution as a fraction in reduced form.

Answers

Answer 1

The probability of winning when there is only one prize, is:

P = 1/2,790,720

How to find the probability?

Each ticket has 6 different numbers, in order, from 1 to 20.

The first number has 20 options.The second number has 19 options (because the numbers can't repeat).The third number has 18 options, and so on.

The total number of possible combinations is given by the product between the numbers of options, so there are:

C = 20*19*18*17*16*15 = 27,907,200 possible tickets.

So, if Trina purchases 10 tickets, she has a probability of 10 out of 27,907,200 winning (when we assume that there is only one prize)

Then the probability is:

P = 10/27,907,200 = 1/2,790,720

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Related Questions

or 50,000 registered voters, 400 were randomly surveyed. their voting preferences are listed the table below, predict how many of the registered voters would vote for mulroney.

Answers

Answer: 12,500

Step-by-step explanation:

     Since 25% voted for Mulroney, we will find 25% of 50,000.

     25% -> 0.25

     0.25 * 50,000 = 12,500

I predict that 12,500 registered voters would vote for Mulroney.

The roots of the equation f(x) = 0 are 1 and -2. The roots of f(2x) = 0) are - - (A) 1 and -2 (B) and - 1 (C) and 1 2 2 (D) 2 and -4 (E) -2 and 4​

Answers

Answer: B

Step-by-step explanation:

When f(x) turns into f(2x), we need to halve the value of x.

The roots of f(2x) will be equal to ( 1 / 2 ) and -1.

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that the root of function f(x) are 1 and -2. The roots of F(2x) will be calculated as:-

( x - 1 ) ( x + 2 ) =0

( 2x - 1 )( 2x + 2 ) =0

x = 1 / 2

x = -1

Therefore, the roots of f(2x) will be equal to ( 1 / 2 ) and -1.

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For what value of x does 3^4x=27^x-3?
0 -9
O-3
O 3
O 9

Answers

Answer:

the answer to the value of X is 0-3

If claire does not make any payments, how much will she owe after ten years? $12,136.67 $3,481.24 $6,090.90 $3,232.74

Answers

The interest formulas will be used to find the amount Claire owes. If the amount has a single compounding per year, simple interest is used, otherwise, compound interest is used.

Simple Interest

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount.r is the interest rate, as a decimal.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.

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Answer:

a. $12,136.67

Step-by-step explanation:

I need the green box with question mark I can’t get the second part

Answers

Answer:

-14

Step-by-step explanation:

-8 = 3/2 x 4 + ?

-8 = 6 + ?

-8 - 6 = -14

Your answer will be -14.

Have an amaizng day!!

Please rate and mark brainliest!!

HELLLO!HELLO HELP PLIS

Answers

Answer:

984m

Step-by-step explanation:

so all your doing is:

41 x 24 = 984m

Answer:

984

Step-by-step explanation:

It's so easy. Multiply 24 and 41 to get the area of the rectangle

Find the area of the unshaded region.

multiple choice group answers

565

555

530

560

Answers

It’s 560 because 16 x 7 = 112 and 32 x 21 = 621 then 621 - 112 = 560

What does the fair and accurate credit transactions act provide for consumers? a. it entitles consumers to get one free credit report per year from the big three reporting agencies. b. it entitles consumers to notify credit reporting agencies if their identity is stolen. c. it entitles consumers to file a complaint with the federal trade commission if their identity is stolen. d. it entitles consumers to find out about who has access to personal information and if it is being handled securely.

Answers

Fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

What is fair and accurate credit transactions act?

Fair and accurate credit transactions act passed in 2003 which is made to improve the protection of customer.

The objective of fair and accurate credit transactions act-

To improve the protection of customer.Ensure provisions in case of identity theft.Provide access to consumers to find out about who has access to personal information.

Thus, fair and accurate credit transactions act entitles consumers to find out about who has access to personal information and if it is being handled securely.

Option d is the correct option.

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Answer: a. It entitles consumers to get one free credit report per year from the big three reporting agencies.

Step-by-step explanation: quizlet

Can someone help me with this wuestion please

Answers

i think that the answer is £279.30.

to find the area of the shape you multiply 4.6 by 2.4 which is 11.04.
then you need to work out how many boxes you need by dividing the area by 0.8 which gives you 14 boxes.
you then multiply that by the price per box which was £19.95.
This gave me an answer of £279.30.

Two angles are supplementary angles.
One angle measures 58°. The other angle
measures (3n + 5)º What is the value of n?

A.) 9

B.) 32

C.) 39

D.) 122

Answers

a is the answer because it makes sense and it's very logical

The sum of 3 consecutive numbers is 240 what are the 3 numbers?

Answers

Answer:

79, 80, 81

Step-by-step explanation:

Creating an equation.

let a = first number , a + 1 = second number and a + 2 = third number

the sum of these three consecutive numbers is 240

this means that , a + ( a + 1 ) + ( a + 2 ) = 240

Solving for x using the equation created.

a + ( a + 1 ) + ( a + 2 ) = 240

==> remove parenthesis

a + a + 1 + a + 2 = 240

==> combine like terms

3a + 3 = 240

==> subtract 3 from both sides

3a = 237

==> divide both sides by 3

a = 79

Finding the 3 numbers

First number = a

a = 79 so first = 79

Second number = a + 1

a = 79 so second number = 79 + 1 = 80

Third number = a + 2

a = 79 so third number = 79 + 2 = 81

The three numbers are 79, 80 and 81

Answer:

79+80+81=240

Step-by-step explanation:

240/3=80

take 1 away from 80 and add 1 to 80

Is {(2,3), (4,5), (-2, -1), (0,1)} a function or not give a reason for your answer

Answers

Step-by-step explanation:

yes, it is a function.

the reason : every value of x (2, 4, -2, 0) has exactly one assigned value of y : 2 to 3, 4 to 5, -2 to -1, 0 to 1.

that is the definition of a function.

50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAP

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.


Geometric Recursive Formula

f(n) = f(n − 1) • r

Answers

Answer:

ask 23

Step-by-step explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.

Geometric Recursive Formula

f(n) = f(n − 1) • r

Answer:

f(n) = f(n − 1) • 2

Step-by-step explanation:

f(1) = 2

f(2) = 4

f(3) = 8

f(4) = 16

Geometric Recursive formula:  f(n) = f(n − 1) • r

where r is the common ratio

To determine r, divide one term by the previous term:

[tex]\sf r=\dfrac{f(n)}{f(n-1)}=\dfrac{16}{8}=\dfrac{8}{4}=\dfrac{4}{2}=2[/tex]

Therefore, f(n) = f(n − 1) • 2

A survey of 100 people in New York City, NY found that.
• The probability that they take the subway each day is 0.85
• The probability that they take a Taxi each day is 0.6
• The probability that take the subway and taxi each day is 0.55

If a person is selected at random, then determine the probability thay they take either the subway or a taxi each day.

Answers

Answer: 0.9

Step-by-step explanation:

[tex]\mathrm{Total \ sample \ space \ $=100$} \\\mathrm{Event \ $A = \ taking \ subway \ each \ day}$$P(A)=0.85$$Event $B=$ taking taxi $\because P(B)=0.6$$$P(A \cap B)=0.55$$[/tex]

[tex]\begin{aligned}P(A \cup B) & \Rightarrow \text { Person taking either taxi/subway } \\&=P(A)+P(B)-P(A \cap B) \\&=(0.85-0.555)+(0.6-0.55)-0.55 \\&=1.45-0.55\\&\bf{=0.9} \end{aligned}[/tex]

I will give brainiest find a linear inequality with the following solution set. each grid line represents one unit.
(give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor other than 1.)

Answers

Answer:

Step-by-step explanation:


[tex] \binom{4a + 3}{5} - \binom{2a + 3}{3} [/tex]
simplify the fraction

Answers

I assume your question was to simplify the following fraction ;

[tex]{:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}[/tex]

Taking LCM will yield ;

[tex]{:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}[/tex]

[tex]{:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}[/tex]

This is the required answer

A circular swimming pool has a radius of 20 feet. The family that owns the pool wants to put up a circular fence that is 5 feet away from the pool at all points. Which is closest to the circumference of the fence they will need?

Answers

Answer:

157.08 ft

Step-by-step explanation:

R = 20+5 = 25

Circumfrence = 2*pi*r = 2*pi*25 = 157.079 ft

What is the end behavior of the function f of x equals negative 4 times the cube root of x?

As x → –∞, f(x) → –∞, and as x → ∞, f(x) → ∞.
As x → –∞, f(x) → ∞, and as x → ∞, f(x) → –∞.
As x → –∞, f(x) → 0, and as x → ∞, f(x) → 0.
As x → 0, f(x) → –∞, and as x → ∞, f(x) → 0.

Answers

The function [tex]f(x) = 4\sqrt[3]{x}[/tex] is a cube root function

The function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

How to determine the end behavior?

The equation of the function is given as:

[tex]f(x) = 4\sqrt[3]{x}[/tex]

To determine the end behavior, we plot the graph of the function f(x).

From the attached graph of the function, we can see that:

As x approaches infinity, the function f(x) approaches infinity, and vice versa

Hence, the function end behavior is:

[tex]\quad \mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:+\infty[/tex]

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Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account paying an interest rate of 4.75 compounded continuously. After 20 years, how much more money would Amelia have in her account than Melanie, to the nearest dollar?

Answers

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

[tex]A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36[/tex]

Amelia:

[tex]A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95[/tex]

Amelia-Melanie= $13,082.60

1. Sixty-four unit cubes were glued together to make a 4 × 4 × 4 cube. How many 1 × 1 pairs
of faces were glued together to make the larger cube?
2. A cube is painted red and then cut into 64 identical smaller cubes. How many of these cubes
are painted red on at least one face?
3. A cube is painted red and then cut into 1000 identical smaller cubes. How many of these
cubes are painted red on at least two faces?

Answers

Answer:

The answer is 56 and that is no guess

A parallelogram with a right angle that is not a rectangle.

Answers

Answer:

One is a rhombus.

Step-by-step explanation:

I need help with this math problem! ​

Answers

Answer:

the value is 120 i think and 2 x-intercepts for the graph of f

Step-by-step explanation:

sorry if it's wrong

GEOMETRY HELP MEEE D:!!!

Answers

Answer:

The answer for the x would be 20.25 ft.

Step-by-step explanation:

Check the underlined writing for the 2nd easier and more efficient method

The area is 9 ft.^2, and area means length*width=area. So, if you were to multiply 4.5*2 that would equal 9, which is the area of the smaller rectangle.

Now use scale factor. If the length of the smaller rectangle is 2, you need to see how many times 2 can fit into 9. 9/2 equals 4.5, then you would multiply 4.5 by 4.5 to get 20.5 to get the width of the rectangle.

If you want to check, put 2/4.5 and 9/20.25 and you both get 0.444....= 4/9

Which means that they both have the same scale

Okay, there is a much easier method I didn't realize, the butterfly method. After you find the length and width of the smaller rectange, you can cross multiply.

2/4.5 = 9/x. (keep the numbers in line, for example both of the lengths stay in the numerator) So 9*4.5 equals 40.5, and 2*x equals 2x. Use basic algebra (divide everything by 2) and you get x=20.25 as well. This solution is much more reliable.

Hope this helps!

Please a quick question

Enter an expression equivalent to a^5 in the form of a^x/a^y.

Answers

Answer:

a^7/a^2

Step-by-step explanation:

The exponents subtract. really easy 7-2=5

There are infinite possiblities to this.

SonicIsCoool, im at your service if you need more help :)

Thank you.

Answer:

[tex]\frac{a^{8} }{a^{3} }[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{a^{8} }{a^{3} }[/tex] = [tex]a^{(8-3)}[/tex] = [tex]a^{5}[/tex]

"The difference of six and twice a
number is five."

Answers

Let that number be x.
6-2x=5
2x=1
x=1/2

Answer:

x = 1/2

Step-by-step explanation:

twice a number = 2x

difference means subtract 2x - 6 = 5

2x - 6 = 5                     Add 6 to both sides.

2x + 6 - 6 = 5 + 6        Combine

2x = 11                          Divide by 2

2x/2 = 11/2                

x = 5.5

Is the answer different if it is done the other way around for the difference?

6 - 2x = 5                    Subtract 6 from both sides

-2x = 5-6                     Combine

-2x = - 1                       Divide by -2

-2x/-2 = -1/-2              

x = 1/2

Yes they are different. Following the way the question is written, I would choose the second method.

Gary wanted to determine the average height of boys at the high school. His older brother is on the basketball team, so he asked him to measure his teammates. After interpreting the results, Gary determined the average height of a high-school-aged boy to be 6 feet, 1 inch. HELP ASAPPPPP

Would you consider these results to be valid?

Yes, because only high-school boys were surveyed.

Yes, because the results were obtained randomly by measuring the boys basketball team.

No, because boys on the basketball team are likely to be taller than the average high school boy.

No, because there are no girls surveyed.

Answers

Answer:

The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?

Answers

Answer:

Length = 3.6

Width= 2.4

Step-by-step explanation:

A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of

the rectangle?

So a rectangle has 2 longer sides and 2 shorter sides.

Knowing the length is 1.5 times the width

and perimeter of 12 centimeters.

The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.

1.5w+1.5w+w+w=12

5w=12

12/5=w

w=2.4

To figure the length just multiply 1.5*2.4=3.6

And That is how you solve it :)

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If you need any help, im at your service :)

Answer choices
A) eleven twenty sevenths
B) eighteen twenty sevenths
C) eleven thirds
D) eighteen thirds

Answers

The answer is D because is you add a one under the 9 you get 9/1 x 2/3 and you can just multiply straight away and get 18/3 but if you need to simplify more you get 6

Answer:

The answer is D) eighteen thirds.

Step-by-step explanation:

9/1 times 2/3

equals 18/3

18/3 is "eighteen thirds"

Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?

Answers

Answer:

There are 45 stamps from Africa

Step-by-step explanation:

10% of 150 is 15

30% of 150 is 45

15*3 = 45

Please help! 1/2 (18 + 14) - (18 - 14)^2

Answers

Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

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Another term for real interest rate isO A. annual percentage yieldB. rate of returnC. compound interestD. nominal interest rate Help me please with my historyQuestion 11 (1 point) How did the Compromise of 1877 influence African American civil rights?Question 11 options:It required the federal government to propose new amendments that restricted African American rights, helping southern states overturn federal civil rights lawsIt allowed the federal government to continue to reshape southern society, increasing rights for African AmericansIt gave African Americans more roles in the federal government, giving them more power to reshape the SouthIt signaled that the federal government would refrain from actively supporting African American rights, allowing Southern Democrats to overturn political gains by African AmericansQuestion 12 (1 point) SavedHow did the United States government observe the 100th anniversary of the signing of the Declaration of Independence in 1876?Question 12 options:It did not celebrate the event, as it was still engaged in the Civil WarCelebratory events were held, but were largely subdued as the nation was still feeling divided and experiencing the effects of the Civil WarMajor celebrations were held throughout the country, acknowledging our country's united and national spiritIn celebration of the major milestone, political parties were abolished Terrel is designing and maintaining a web page for a local company. In which career pathways would Terrel be involved?Programming and Software Development, and Network SystemsNetwork Systems and Interactive MediaInformation Support and Services, and Programming and Software DevelopmentInteractive Media, and Information Support and Services References that employers trust for the most accurate reporting include _____. a. friends b. relatives c. counselors d. parents please select the best answer from the choices provided a b c d 3. Sarah is writing the letterin Passive voice A box of sunflower seeds contains p packets. Each packet of sunflower seeds contains s seeds. Which equation can be used to find the number of sunflower seeds in a box, b? *5 pointsp = sbs = pbb = spb + s = p The diagram above shows a ballistic pendulum. A 10 g bullet is fired into the suspended 2 kg block of wood andremains embedded inside it (a perfectly inelastic collision). After the impact of the bullet, the block swings up to amaximum height h. If the initial speed of the bullet was 35 m/s:A.) What was the momentum of the bullet before the collision?B.) What was the kinetic energy of the bullet before the collision?C.) What was the velocity of the bullet-block system just after the collision? D.) What was the total kinetic energy of the bullet-block system after the collision?E.) What is the maximum possible potential energy of the bullet-block system when it reaches its maximum height?F.) What is the maximum possible height of the bullet-block system? what type of religion is christianity Find the area of the shaded polygons. Describe these points with a double inequality 1. Use this graphic organizer to summarize the causes and effects of Romes expanding empire.2. After completing the organizer, use the information to construct a paragraph that analyzes the reason for the growth and expansion of the Roman Empire. _____ adjust vehicle ratings to reflect just those individuals who match the advertisers target audience. Due to the conflict in Vietnam, in March of 1968, what surprising announcement did President Johnson make to the American people?Group of answer choicesThe draft had ended.He would not run for another term as President.The Vietcong had seized control of South Vietnam.The United States and South Vietnam had won the war. Hi! Please help. (Geometry Btw) You were given $1,000 to invest. Please pick which type of Market you would want to invest in and why. Describe advantages and disadvantages to this choice. This is worth 20 points (5 points for each part of the question ) In a DNA molecule, ______ bonds form between nitrogenous bases, such that A (adenine) pairs with its complement ______, and G (guanine) pairs with its complement ______. All of the following are down sides to online voting EXCEPT:a.people can hack into the systemc.computers break downb.information can be lostd.people can vote from home or work 10 A fixed quantity of gas is placed inside a container of fixed volume at a temperature of27C. The gas has a pressure, P.Which expression shows the pressure of the gas at 57C?A P2=(27/57) PBP2=(57/27) PP2=(300/330) PDP2=(330/300) P Given the function[tex]f(x) = (x + 4){(x - 2)}^{2} [/tex]Determine the end behavior of the graph of the function. Show all/any work sketch the graph of y=2x^2-3x-4