In the game of​ roulette, a player can place a ​$ bet on the number and have a probability of winning. If the metal ball lands on ​, the player gets to keep the ​$ paid to play the game and the player is awarded an additional ​$. ​ Otherwise, the player is awarded nothing and the casino takes the​ player's ​$. What is the expected value of the game to the​ player? If you played the game 1000​ times, how much would you expect to​ lose?

Answers

Answer 1

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The expected amount to be lost is  0.5263 cents per game

b

The expected amount to be lost is  

     [tex]P = \$ 526 .3 [/tex]

Step-by-step explanation:

From the question we are told that

   The probability of winning is  [tex]p = \frac{1}{38} = 0.0263[/tex]

   

Generally the probability of losing is mathematically evaluated as

            [tex]q =  1-p [/tex]

=>        [tex]q = 1-0.0263 [/tex]

=>        [tex]q = 0.9737[/tex]

Generally the expected value is mathematically represented as

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

Here [tex]x_i[/tex] is a discrete variable (i.e it is a countable )  are outcomes of the player winning and the player losing

So

     [tex]E(X) =   x_1 *  P(x_1) + x_2 *  P(x_2)  [/tex]

Now the outcome of winning is  making $350  so

       [tex]x_1 = \$ 350[/tex]

        the outcome of losing is losing $10  so  

        [tex]x_2 = - \$10[/tex]

So

     [tex]E(X) =  350* 0.0263 -10 *  0.9737  [/tex]

       [tex]E(X) = -0.5263 [/tex]

hence the expected amount to be lost is  0.5263 cents per game

If you played the game 1000​ times, the amount that is expected to be lost is  

    [tex]P =  1000 * -0.5263[/tex]

=> [tex]P = -\$ 526 .3 [/tex]

Hence the expected amount to be lost is  

     [tex]P = \$ 526 .3 [/tex]

In The Game Of Roulette, A Player Can Place A $ Bet On The Number And Have A Probability Of Winning.

Related Questions

3.2x-1.7x+5.5=10

How dI yoI solve this

Answers

Answer is x=3 because you collect the like terms move the constant to the right calculate it then divide both sides

The value of x is 0.918 for the equation 3.2x - 1.7x + 5.5 = 10.

To determine this equation 3.2x - 1.7x + 5.5 = 10,

3.2x - 1.7x + 5.5 = 10

Subtract 10 on both side,

3.2x - 1.7x + 5.5 - 10 = 10 - 10

3.2x - 1.7x + 4.5 = 0

Subtract 4.5 on both side,

3.2x - 1.7x = -4.5.

4.9x = -4.5

x = 0.918.

Therefore, the value of x is 0.918.

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I can't find the right answer

Answers

Answer:

[tex]x<-10\quad \mathrm{or}\quad \:x>10[/tex]

Step-by-step explanation:

[tex]x^2 > 100\\\\\mathrm{For\:}u^n\:>\:a\\\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\:<\:-\sqrt[n]{a}\:or\:u\:>\:\sqrt[n]{a}\\\\x<-\sqrt{100}\quad \mathrm{or}\quad \:x>\sqrt{100}\\\\\sqrt{100}=10\\\\x<-10\quad \mathrm{or}\quad \:x>10[/tex]

Wright the number 972,274 in words​

Answers

Nine hundred seventy two thousand two hundred seventy four

Answer:

Nine hundred seventy two thousand two hundred seventy four. Hope this helps

Write an equation in points-slope form of the line that passes through (7,-6) and has the slope m= 1/2

Answers

Answer:   point-slope form is [tex](y -y_{1} ) = m(x - x_{1} )[/tex]

9.5 -(-6) = 1/2(0-7)

Step-by-step explanation: You can get a y-intercept by substituting the x and y values from the given coordinate into the slope-intercept form and solve for b.

y = mx + b

-6 = 1/2(7) + b

-6 = 3.5 + b

-9.5 = b  Slope-intercept equation for this question would be  y = x/2 - 9.5

Then use the coordinates of the y-intercept to create the point-slope equation

(-9.5 -[-6]) = 1/2(0-7)

PLEASE HELP ASAP!! im so confused i just need some help. WIll mark BRAINLIEST>

Answers

Answer:

C

Step-by-step explanation:

x + 9 = 4(x-1)²

x + 9 = 4(x² - 2x + 1)                  Multiply (x - 1) times (x - 1)

x + 9 = 4x² - 8x + 4                  

4x² - 9x - 5 = 0                          Subtract x + 9 from both sides

Solve for n.

4n + 7 = 19

n =

Answers

4n+7=19
-7 -7
4n= 12

4n/4= 12/4

n = 3
N = 3


4n + 7 = 19

Subtract 7 from both sides.

4n + 7 − 7 = 19 − 7
4n = 12

Divide both sides by 4.

4n is 4 = 12/4

N = 3

round 67,103 and 1,273 to nearest hundred​

Answers

Answer:

67100

1300

Step-by-step explanation:

You are rounding to the nearest hundreds place value (will be underlined and bolded). Note the number directly next to the place value (tens place value). If it is the digit 5 or greater, round up. If 4 or less, round down:

67103:

You are rounding to the hundreds place value. The tens place value is a 0. Because 0 is less than 5, round down.

67103 rounded to the nearest hundred is 67100.

1273:

You are rounding to the nearest hundreds place value. The tens place value is a 7. Because 7 is greater than 5, round up.

1273 rounded to the nearest hundred is 1300.

~

Five times of a positive integer is less than twice its square by 3. Write the equation that characterizes this number. (use x for the positive number)

Answers

Answer:

2x² - 5x - 3 < 0

let the positive integer be 'X'

5x < 2x² - 3

-2x² + 5x + 3 < 0

The equation is 2x² - 5x - 3 < 0

please answer correctly
will give out brainliest, a THX, a friend request, and will rate ur answer

Answers

Answer:

10 11/15

Step-by-step explanation:

the improper fraction you would use is 23/5 and 7/3

to convert improper fractions you would take the whole number multiply by the denominator and then add the numerator so 4*5 which is 20 + 3

do that to both fractions then multiply

23     7    and you will get 161/15 which simplifies to 10 11/15

5       3

Answer:

Hi there!!

Your answer is:

[tex]10 \times \frac{11}{15} [/tex]

Step-by-step explanation:

[tex]4 \times \frac{3}{5} [/tex]

Multiply 4 by the denominator and add to the numerator!

4×5+3

20+3

23

23/5 ×

[tex]2 \times \frac{1}{3} [/tex]

2×3+1

6+1

7

7/3×

7/3 × 23/5

7× 23 = 161

3×5= 15

161/15

SIMPLIFY!

10 & 11/15

Hope this helps

use the distribution property to write the problem without parenthesis, 4 (2x+11) - 8x+36

Answers

Answer:

80

Step-by-step explanation:

8x+44-8x+36

8x-8x+44+36

44+36

80

Elliot spent 3/5 of his money on stereo equipment and 1/6 of the money he had left on lunch. He left the house with $24. How much money did Elliot return with?

Answers

$24/5 = $4.8 x 3 = $14.4
$24/6 = $4 x 1 = $4
$14.4 + $4 = $18.4
$24 - $18.4 = $5.6

You buy a costume for $250 and fifty pieces of candy
that each cost the same amount. You spend a total of
$270. What is the price of each piece of candy?

Answers

Answer:

¢40 or $0.40

Step-by-step explanation:

270 - 250 = 20

20 ÷ 50 = 0.4


The first aircraft has 89 more seats than the second aircraft. The third aircraft has 45 fewer seats than the second aircraft. If their total number of seats is 401, find the number of seats for each aircraft

Answers

Answer:  The first aircraft has 208 seats.

The second aircraft has 119 and the third has 74.

Step-by-step explanation:

The equation is x+89 + x + x-45 = 401

combine terms: 3x + 44 = 401  Subtract 44 from both sides  3x=357  

divide both sides by 3

x= 119

substitute x in each term of the equation to find the number of seats on each aircraft

119 + 89 = 208 for #1    x= 119 for #2    119- 45= 74 for #3

h-z=3
-3h + 3z = 6
I’ll give brainliest.

Answers

Answer:

-3h+3z =6

multiply by-1

3h-3z=-6

3(h-z)=-6

3(3)=-6

9=-6

9+6

15

Some of the other shades of paint are more yellow than others. Which mixture(s) are the most yellow? chiesta haces of this paint are more yellow Explain your reasoning.​

Answers

9514 1404 393

Answer:

  2, 5, 6

Step-by-step explanation:

If we number the mixes 1-6 from top to bottom, then the fraction of the total that is yellow is ...

  1. 1/(3+1+2) = 1/6

  2. 2/(5+2+3) = 2/10 = 1/5

  3. 2/(6+2+4) = 2/12 = 1/6

  4. 4/(12+4+8) = 4/24 = 1/6

  5. 6/(15+6+9) = 6/30 = 1/5

  6. 8/(20+8+12) = 8/40 = 1/5

Mixes 2, 5, and 6 are the most yellow.   (1/5 > 1/6)

All the items on the sale rack were 75 percent off their original price.

If Jill bought an item on the sale rack and saved a total of $84, what is the value of x in the table above?

Answers

Answer:

112 $ is the original price

Step-by-step explanation:

[tex]x \times 0.75 = 84 \\ x = 84 \div 0.75 \\ x = 112[/tex]

you have to think that the original price multiplied by 0.75 (also known as 75%) gave the result of what he saves i.e 84 $. So we put up an equation with the original price multiplied by 75% which equals the 84 $ he saved on buying that item on sale

The value of x in the table above is $112.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given;

All the items on the sale rack were 75 percent off their original price.

Jill bought an item on the sale rack and saved a total of $84

Now,

Let the original price without off be x

84*100/x=75

8400/75=x

x=112

Therefore, the price without 75 percent of will be $112

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is 78 closer to 77.54 or 77.6 closer to 77.54

Answers

77.6 closer to 77.54

Fill in the missing num W + 2 7 9 2​

Answers

Answer:

What are you asking? What does it equal? W+2792=??

Answer:

there is no number that could fit, it actually could be anything, I think that there is a part of the problem not there that is a expression to solve that you need a equation

Step-by-step explanation:

3 + |-7| I would like some help

Answers

Answer: The answer will be -4

х
0
1
у
—125
-121
-93
-17
131
2
3
4
Is the answer-2

Answers

Answer:

IDEK That is a bunch of numbers

What are the possible rational roots of the polynomial equation?

0=2x9−3x7+11x+10

Answers

Answer:

+-1, +-2,+-5, +-10

Step-by-step explanation:

you first find all the numbers that can go into the constant which is 10, so negative and positive 1 can go into 10, negative and positive 2 can go into 10 etc.

The possible rational roots of the polynomial equation

[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]

Given :

The polynomial equation is

[tex]2x^{9}-3x^{7}+11x+10=0[/tex]

To find out possible rational roots, we use rational root theorem

Rational root of the form

[tex]\frac{p}{q}[/tex] where p is the constant and q is the leading coefficient

p=10  and q=2

Lets write all the factors of 10  and 2

Factors of 10 are 1,2,5,10

factor of 2 are 1,2

Rational root of the form

[tex]+- factors of \frac{p}{q} =+-\frac{1,2,5,10}{1,2}[/tex]

We consider both positive and negative factors. Ignore the repeated roots

So possible rational roots are

[tex]1,-1} , +\frac{1}{2} , -\frac{1}{2} , +2,-2, +5,-5, +\frac{5}{2} ,-\frac{5}{2} ,+10,-10[/tex]

Learn more :  brainly.com/question/13211306

Write in slope intercept form:
(-5,-11) and (-2,1)

Answers

Answer:

y = 4x + 9

Step-by-step explanation:

First, find the slope of the line, which is the change in y/the change in x:

(-11-1)/(-5-(-2)) = -12/-3 = 4

That leaves you with the equation:

y = 4x

But notice, when x = -2 in the equation, y = -8, but we want it to be 1, so we add 9 to the end of the equation:

y = 4x + 9

I hope this helped.

Answer:

Step-by-step explanation: -15/9 my teacher told me

Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in probability, inference, or statistical computing. Assume that more than one section of each course is offered. List the outcomes in the sample space [Hint: each element consists of a pair of assignments]. Find the probability that they will teach different courses. Note: carefully define your notation (e.g. any events) in words before solving the problem.

Answers

Answer:

The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

Compute the probability that they will teach different courses as follows:

[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]

Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].

Rewrite as a square or a cube:

0.001

Answers

Answer:

10^-3*1/3 = 10^-1=0.1

The "cold start ignition time" of an automobile engine is being investigated by a gasoline manufacturer. The following times (in seconds) were obtained for a test vehicle: 1.75, 1.92, 2.62, 2.35, 3.09, 3.15, 2.53, and 1.91. (a) Calculate the sample mean and sample standard deviation. (b) Construct a box plot of the data.

Answers

Answer:

(a) The sample mean and sample standard deviation are 2.415 and 0.5342 respectively.

(b) Shown below.

Step-by-step explanation:

The data set provided is:

S = {1.75, 1.92, 2.62, 2.35, 3.09, 3.15, 2.53, and 1.91}

(a)

Compute the sample mean and sample standard deviation as follows:

[tex]\bar x=\frac{1}{n}\sum\limits_{i}{x_{i}} =\frac{1}{8}\times 19.32=2.415\\\\\\s=\sqrt{\frac{1}{n-1}\sum\limits_{i}{(x_{i}-\bar x^{2})^{2}}}=\sqrt{\frac{1}{8-1}\times 1.9976}=0.5342[/tex]

Thus, the sample mean and sample standard deviation are 2.415 and 0.5342 respectively.

(b)

Use SPSS to form a Box plot.

Go to Graphs → Legacy Dialogs → Boxplot

A dialog box will open.

Select "Simple".

Select "Summaries for Separate Variable"

Press "Define"

Another dialog box will open.

Select the variable.

Press OK.

The box plot is attached below.

Find the midpoint of the segment between (6,7) and (6,-5)

(0, -1)
(6,1)
(1,6)
(0, 1).
Helpppo pleasee

Answers

Answer:

(6,1)

Step-by-step explanation:

midpoint = ((x2+x1),(y2+y1)/2)

= (6+6)/2, (-5+7)/2

= 12/2, 2/2

= 6,1

Answer:

(6, 1)

Step-by-step explanation:

GivenSegment (6, 7) and (6, -5)To findMidpoint Solution

x- coordinates same so the line is vertical and we'll only calculate the y-coordinate

x= 6y = (7 + (-5))/2 = 2/2 = 1

So the point is

(6, 1)

if someone can anwser this ​

Answers

Answer:

944

Step-by-step explanation:

Answer:

944

Step-by-step explanation:

L*W*H then add them

Xis all of the following except
a term
a variable
a constant
a an expression
Help I’ll give brainliest to the best answer

Answers

Answer:

a variable

Step-by-step explanation:

a variable.

x is not an expression unless it has signs. so x by itself would not be an expression without different numbers and sign between

For f(x)=5x+1. Find f(-4)

Answers

Answer:

-19

Step-by-step explanation:

f(x)=5x+1

F(-4) - substitute -4 as the x

F(-4)=5(-4)+1

F(-4) = -20 + 1

f(-4) = -19

If: \qquad AC = 64 AB = 7x + 8, and BC= 3x+6, Find BC

Answers

The answer is 21.

First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.

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