One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $5, compute the player's expectation. (Round your answer to two decimal places.)

Answers

Answer 1

Answer:

The player's expectation is a loss of 20 cents.

Step-by-step explanation:

In a game of roulette, there are 38 slots where the ball can stop.

The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.

So, N = 38.

The slots which are multiples of 3 are:

S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}

So, n (S) = 12.

Let X = the ball stops on a number that is a multiple of 3

The probability that the ball stops on a number that is a multiple of 3 is:

[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]

It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.

Compute the player's expectation as follows:

[tex]E(X)=\sum X\cdot P(X)[/tex]

        [tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]

Thus, the player's expectation is a loss of 20 cents.


Related Questions

-2x-3+4x+8 what’s the answer

Answers

Answer:

2x-3+8v

Step-by-step explanation:

Answer:

Assuming we are simplifying, it should be 2x+5

Step-by-step explanation:

Combine like terms.

8-3 is 5

4x-2x is 2x

So yeah

how can you find the y-intercept in a table

Answers

Answer:the y-intercept will be when y=0. the answer will be the x value that corresponds with y=0.

Step-by-step explanation:

What is 33 and 1/3 as a percent?

Answers

Answer:

33 is 33 % of 100 and 1/3 is 33.33 %

Step-by-step explanation:

Hope this helps!!

Answer:

33.3333333333333.........%

Step-by-step explanation:

Can you help me with this please?

6^3 simplified

6^2 simplified

6^1 simplified

6^0 simplified
Type each answer to each problem

Answers

Answer:

6^3 is 216

6^2 is 36

6^1 is 6

6^0 is 1

Step-by-step explanation:

A model of a house has been drawn on a coordinate grid. One corner of the house has been drawn at (6, 3). The drawing will be translated two units down and three units to the right. How should the translation be written?

Answers

Answer:

(9, 1)

Step-by-step explanation:

Given the coordinate of one corner of the house has been drawn at (6, 3), if the drawing is translated two units down and three units to the right

two units down = -2 (along the negative y axis)

three units to the right = +3 (towards the positive x-axis)

The coordinate used to translate the model of the house (x, y) is (3, -2)

Adding both coordinates:

= (x, y) + (6, 3)

= (x+6, y+3)

Substitute the values of the translated coordinates

= (3+6, -2+3)

= (9, 1)

The translation should be written as (3+6, -2+3) which is equivalent to (9, 1)

The velocity-time graph for a cycle is shown.
104
8
8
Velocity (m/s)
2
0
0 2 4 6 8 10 12 14 16 18 20
Time (seconds)
a) Work out the distance travelled on the cycle in the first 14 seconds.
b) Work out the acceleration in the first 4 seconds.

Answers

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

The correct answers for the given problem are: (a) The distance travelled on the cycle in the first 14 seconds is 96 m and (b)The acceleration in the first 4 seconds is 2 m/s².

How to find the area under a graph?

The area under a graph can be found by dividing the graph into equal intervals of very small width and then find the area of the rectangle for each intervals. After summing all the areas of rectangles the area under the graph can be approximated.

The velocity time graph given in the problem can be used to find the distance travelled.

The distance travelled in first 14 seconds is equal to the area of the graph from t = 0 to t = 14.

This area consists of a triangle of height h = 8 and base b = 4 and a rectangle of length l = 8 and width b = (14 - 4) = 10.

Now, the total area is given as,

1/2 × b × h + l × b

= 1/2 × 4 × 8 + 8 × 10

= 16 + 80

= 96

(b) The acceleration is given as the rate change of velocity with respect to time.

The acceleration in first 4 seconds is given as,

a = (8 - 0)/4

   = 2

Hence, the distance travelled in first 14 seconds and acceleration in first 4 seconds is given as 96 m and 2 m/s² respectively.

To know more about area of a graph click on,

https://brainly.com/question/26315835

#SPJ2

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answers

Answer:

Answer:

(5, 20)  

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

   = (40-0)/(10-0)

   = 40/10

   =4

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points  by substituting into the equation

40, 10)     10 = 4*40   10 =160  no

(–5, –10)    -10 = 4*-5    10 = -20   no

(5, 20)       20 = 4*5    20 = 20  yes

(–10, –20)    -20 = 4*-10    -20 = -40   no

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line with negative slope goes through points (negative 20, 10), (0, 0), and (20, negative 10). (10, –20) (–30, 20) (–10, 5) (35, –20)

Answer

c

Step-by-step explanation:

egde2020

22
2. Which is the same as 3y-9x+6= 0

Answers

Answer:

y = 3x − 2

Step-by-step explanation:

Hope This Helps!

Since i helped so many people, please HELPPPPP NOWWW thnaks

Samuel needs 313 feet of wood to build a fence. The wood comes in lengths of 13 feet.

How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel. How many pieces of wood does Theresa need?

Samuel needs
______pieces of wood.
Theresa needs
_____pieces of wood.

Answers

Answer:

theresa needs 48 pieces and samuel needs 24 pieces

Step-by-step explanation:

the exact answers are 24.07692307692308

48.15384615384615

Let y^4+5x=11y 4 +5x=11y, start superscript, 4, end superscript, plus, 5, x, equals, 11. What is the value of \dfrac{d^2y}{dx^2} dx 2 d 2 y ​ start fraction, d, squared, y, divided by, d, x, squared, end fraction at the point (2,1)(2,1)left parenthesis, 2, comma, 1, right parenthesis?

Answers

Answer:

[tex]\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

Step-by-step explanation:

Given the expression  [tex]y^4+5x=11y[/tex], we are to find the second derivative [tex]\frac{d^2y}{dx^2}[/tex]

This differentiation will be implicit (indirect) as shown:

[tex]4y^3 \frac{dy}{dx} + 5 = 11\frac{dy}{dx} \\4y^3 \frac{dy}{dx} - 11 \frac{dy}{dx} = -5\\\frac{dy}{dx}(4y^3-11) = -5\\\frac{dy}{dx} = \frac{-5}{4y^3-11}[/tex]

Differentiating the second time using quotient rule:

[tex]\frac{d^2y}{dx^2} = \frac{4y^3-11 (0)- (-5)12y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2\frac{dy}{dx} }{(4y^3-11)^2} \\\\\frac{d^2y}{dx^2} = \frac{60y^2(\frac{-5}{4y^3-11} ) }{(4y^3-11)^2}\\\\\frac{d^2y}{dx^2} = \frac{-300y^2}{(4y^3-11)^3}[/tex]

I WILL GIVE YOU BRAINLIEST

Answers

Answer:

3 million or 3 x 10^6

Step-by-step explanation:

You would round this up to three million because the digit before it is 5 or larger. Then, using the three million number, you move the decimal over 6 places to get a digit less than ten so it would become 3 times 10 to the power of 6

TIMED TEST PLEASE HELP Find the distance between the points -5 and -3 on a number line.

Answers

Answer:

-2

Step-by-step explanation:

Answer:

(see below)

Step-by-step explanation:

You can also solve this algebraically:

–5 – (–3)

–5 + 3

–2

Since it can't be negative units between two points on a number line, you can multiply it by –1 to make it a positive number:

–2 (–1)

2 units

Or, you can use a number line. I have screenshotted a number line attached below for you.

Hopefully this helps!

Which equation is equivalent to 2x + 3y = 12?
y=2/3x+4
y= -2/3x+12
y= -2/3x+4
y=2/3x+12

Answers

Answer:

y= -2/3x + 4

Step-by-step explanation:

2x + 3y = 12

3y = 12 - 2x

3y/3 = 12/3 - 2x/3

y = 4 -2x/3

y = -2x/3 + 4

!!!BRAINY AND 10 PTS!!!

Answers

Answer:

Top left

Step-by-step explanation:

Work out the value of
5^8 x 5^-2 /
5^4

Answers

Answer:

the answer is 25

Step-by-step explanation:

After simplifying the expression the final value of the expression is given by 25

What are exponents?

Exponent is a mathematical operation, written as an. Here the expression an involves two numbers, the base 'a and the exponent or power 'n'. Exponents are used to simplify algebraic expressions.

Given here : The expression 5⁸×5⁻² / 5⁴

We know from the law of exponents, for any non-zero term a,

[tex]a^m.a^n=a^{m+n}[/tex]

Thus simplifying the expression we get

5⁸×5⁻² / 5⁴

=5⁸⁻² /5⁴

=5⁶⁻⁴

=5²

=25

Hence, The value of the expression is 25

https://brainly.com/question/5497425

#SPJ2

Which of the following are point-slope equations of the line going through
(-4,-7) and (3, 2)? Check all that apply.
PLEASSSEEE HELP I’VE BEEN STUCK ON THIS FOR A COUPLE OF DAYS .. 15 points

Answers

Answer:

The equations of the line are

y + 7 = [tex]\frac{9}{7}[/tex] (x + 4) ⇒ B

y - 2 = [tex]\frac{9}{7}[/tex] (x - 3) ⇒ E

Step-by-step explanation:

The point-slope form of the linear equation is

[tex]y-y1=m(x-x1)[/tex] , where

m is the slope of the line(x1, y1) is a point on the lineThe rule of the slope is  [tex]m=\frac{y2-y1}{x2-x1}[/tex]

∵ The line passes through points (-4, -7) and (3, 2)

x1 = -4 and y1 = -7

x2 = 3 and y2 = 2

→ Use the rule of the slope above to find it

∵ [tex]m=\frac{2--7}{3--4}=\frac{2+7}{3+4}=\frac{9}{7}[/tex]

The slope of the line is [tex]\frac{9}{7}[/tex]

→ Substitute the values of m and (x1, y1) in the form of the equation above

∵ y - -7 = [tex]\frac{9}{7}[/tex] (x - -4)

∴ y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

The equation of the line is y + 7 = [tex]\frac{9}{7}[/tex] (x + 4)

→ Substitute the values of m and (x2, y2) in the form of the equation above

∵ y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

The equation of the line is y - 2 = [tex]\frac{9}{7}[/tex] (x - 3)

→  Look at the answers to find the same equations

Answers B and E have the same equations

Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.

Answers

Answer:

the input is the number or gallons aka b

the output is the balance in the account aka c

and the two points described are (5,442) and (13,226) aka c

Step-by-step explanation:

i did it on edge and got it right :)

Answer:

here the answer

Step-by-step explanation:

Alex has 64 cubes with dimensions in feet (ft), like the one shown. He uses all the cubes to fill a box shaped like a larger rectangular prism. There are no gaps between the cubes. Part B: If there are 64 of these cubes in the larger prism, then what is the volume, in cubic feet, of the larger rectangular prism?

Answers

Answer:

The volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Step-by-step explanation:

Length of small cube =[tex]\frac{1}{2} ft[/tex]

Volume of each cube = Side^3

Volume of each cube =[tex](\frac{1}{2})^3[/tex]

                                    =[tex]\frac{1}{8} ft^3[/tex]

Volume of 64 cubes = [tex]64 \times \frac{1}{8}[/tex]

Volume of 64 cubes [tex]= 8 ft^3[/tex]

We are given that He uses all the cubes to fill a box shaped like a larger rectangular prism.

So, Volume of 64 cubes = Volume of rectangular prism

So, If there are 64 of these cubes in the larger prism, then the volume, in cubic feet, of the larger rectangular prism is 64 cubic feet

Which statement is true regarding the graphed functions? ((help please :,)​

Answers

The answer is F(-2)=G(-2) . Even tho they aren’t actual coordinates on the graph they are the points where the two lines intersect

Which equation has infinitely many solutions?
12 + 4x = 6x + 10 – 2x
5x + 14 – 4x = 23 + x – 9
x + 9 – 0.8x = 5.2x + 17 – 8
4x – 2x = 20

Answers

Answer:

Bbbbbbbbbbbbbbbbbbbbbb

can some one solve this its subtitution i need the brainlyist i will give yo a thanks a five star and brainlyist

Answers

I think it’s (-2, -16)

If u substitute the y into the second equation it gives you 8x=2x-12 then, you subtract 2x from both sides and it gets you 6x=-12 lastly, you divide by 6 which gets you x=-2. To find y you can take the first equation and plug x in which gives you y=8(-2) and then you multiply which gives you y=-16!! I really hope this helped!!

Step-by-step explanation:

Hey there!

Given;

The equations are;

y = 8x...........(i)

y = 2x-12..........(ii)

Now;

Substituting the value of "y" from equation (i).

8x = 2x-12

8x-2x = -12

6x = -12

X = -12/6

Therefore, X= -2.

Now; Substituting the value of "y" in equation (i)

y = 8*-2

y = -16

Therefore, y= -16.

Therefore, x= -2 and y= -16.

Check:

y = 2x

-16= 8*-2

-16 = -16 (true).

Hope it helps...

Identify the constant proportionality: k=

Answers

Answer:

is there any more info?

Step-by-step explanation:

I don't see any info in order for me to solve this

Look at the number 451,433. What place is the 5 in?

Answers

Answer:

Step-by-step explanation:

the 10,000's column

hope this helped :)

Answer:

[tex]the \: place \: of \: 5 \: is \: 50000 \: \\ i.e \: tent \: of \: thousand.[/tex]

HELP ME IN THIS QUESTION PLSS

Answers

Answer:

Rational, irrational, rational, irrational

Step-by-step explanation:

-115.5: all negative numbers are rational

23.083: 3 is recurring- recurring numbers are irrational

2 under root 9 = 6

the number goes on without a pattern= irrational

Input 1 2 3 4 output -10 14 18 function or not

Answers

Answer:

function

Step-by-step explanation:

no multiplying numbers

Please identify the common angles and sides or these triangles.

Answers

Answer:

see attached image

Step-by-step explanation:

A school is planning a fundraiser with all profits going to charity. The amount of profit is found by subtracting the total cost from total ticket sales.
Ticket Sales: 200x−10x2

Event Cost: 500+20x

If x represents the price of a ticket, what ticket prices will result in a profit of $200 or more? Express your answers rounded to the nearest cent.



A
$5.69≤x

B
$5.69≤x≤$12.33

C
$3.29≤x

D
$3.29≤x≤$21.29

Please help.

Answers

The value of the x should be more than or equal to 5.69. Then the correct option is A.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as we will as is used to compare two statements.

A school is planning a fundraiser with all profits going to charity.

Ticket Sales: 200x − 10x²

Event Cost: 500 + 20x

The amount of profit is found by subtracting the total cost from total ticket sales. A profit of $200 or more.

             Event cost − Total sales  ≥ Profit

         (500 + 20x) − (200x − 10x²) ≥ 200

− 200x + 10x² + 500 + 20x − 200 ≥ 0

                         10x² + 180x − 700 ≥ 0

                         10x² − 180x + 700 ≥ 0

                                  x² − 18x + 70 ≥ 0

On simplifying, we have

(x − 5.69) (x − 12.33) ≥ 0

                               x ≥ 5.69, 12.33

Thus, the value of the x should be more than or equal to 5.69. Then the correct option is A.

More about the inequality link is given below.

https://brainly.com/question/19491153

Write the equation of a line that passes through (0, -6) and (11,1).

Answers

Answer:

y=7/11x-6

Step-by-step explanation:

x-7(x-2)=10x+9-x
i need the answer asap pls

Answers

Step-by-step explanation:

x−7(x−2)=10x+9−x

Step 1: Simplify both sides of the equation.

x−7(x−2)=10x+9−x

x+(−7)(x)+(−7)(−2)=10x+9+−x(Distribute)

x+−7x+14=10x+9+−x

(x+−7x)+(14)=(10x+−x)+(9)(Combine Like Terms)

−6x+14=9x+9

−6x+14=9x+9

Step 2: Subtract 9x from both sides.

−6x+14−9x=9x+9−9x

−15x+14=9

Step 3: Subtract 14 from both sides.

−15x+14−14=9−14

−15x=−5

Step 4: Divide both sides by -15.

−15x−15=−5−15

x=13

Answer:

x=13

HELP HELP HELP PLEASE

Answers

Answer:

3/5 lmk if you need the work

Step-by-step explanation:

Other Questions
Vivian wants to buy a watermelon. Kingston's Market has 10-pound watermelons for $3.90, but the Farmer's Market has 12-pound watermelons for $4.44.What is the cost per pound for the 10 pound watermelons? It is up to the states to decide when lo register vote and the deadlines for it True Or False -3b+2=4b+9pls answer hahaha 1.) Which pair of words BEST describe Jenny through the story "The Lost Watch?"A DesperateB. DepressedC. ProudD. Enthusiastic Main IdeaRead each paragraph and choose the main idea.Sandy sings in the church choir. She sings a solo every week.Everyone looks forward to hearing her sing. Last Sunday Mrs Smith said Sandy has the voice of an angel" we all agreed with her. I think she will be famous one day.The main idea of the paragraph is:a.The church has a choirb.sandy goes to churchc.sandy is a great singerd.Sandy song a solo each weekTommy ran down the street chasing his dog. "Bobby! Bobby!" he yelled. He knew he should have checked the gate before letting Bobby into the back yard. His mother has told him a hundred times. How had he forgotten?If he had closed it,Bobby would still be in the backyardThe main idea of the paragraph is:a.Bobby ran away,b.Tommy forgot to make sure the gate was closed.c.Tommy was forgetfuld.Tommy's mother was bossy.Joy sat on the beach at the baseball field and waited. She didn't like waiting alone. All of the other kids had been picked up by their parents. Where was her mother? Suddenly, her mother came running to her, "Oh Joy,I'm so sorry. Next time I will make myself a note"The main idea of the paragraph is:a.Joy's mother forgot to pick her up.b.Joy hated sitting alone.c.Joy plays baseball.d.Joy's mother writes notes.I went to the ice cream shop and ate a huge sundoe. When I got home, supper was ready, Mom had cooked my favorite meal, No matter how I tried, I couldn't make myself eat.The main idea of the paragraph is:a.I like ice cream.b.Mom is a good cook.c.I was too full to eat supperd.I was sick. There are 3,153,600 seconds in a year. How can you write this number in scientific notation? What value of p makes the equation true?-3p + 1/8 = -1/4 Shortest Remaining Time First is the best preemptive scheduling algorithm that can be implemented in an Operating System. a. True b. False Helpppp!! I don't understand this??????At seven different restaurants, Rachel found that house salads cost an average of $3.80. If six of the restaurants priced house salads at $3.00, $3.45, $4.15, $4.60, $4.65, and $2.80, how much did a house salad cost at the other??????? This is so confusing!!! What was the main cause of the French and Indian War2 #9AWhat is a reasonable first step to solve for y?1/ 4x + 3y = 2z Please select the word from the list that best fits the definition measures wind speed weather vane, barometer, radar, statellites, thermometer, anemometer Which of the following happens to the particles when the temperature of liquid water drops? choose the correct congruence statement what's the distance between the points (4,3) and (16,8) What is the measure of JKL A triangle has angle measurements of 139, 27, and 14. What kind of triangle is it? PLEASE ANSWER ASAP!!!! Using complete sentences, describe what present-day Canada and the United States looked like just prior to contact between Europeans and Native Americans. What is the pH of a solution made by mixing 0.050 mol of NaCN with enough water to make a liter of solution