A local church holds an annual raffle to raise money for a new roof. They sell only 500 tickets at $50 each. This year's prizes include: $3,000 in cash, four $100 Amazon gift cards, and two $75 Visa gift cards. You buy one ticket. What is your mathematical expectation for this game

Answers

Answer 1

Answer:

The expectation for an event with outcomes:

{x₁, x₂, ..., xₙ}

Each one with probability:

{p₁, p₂, ..., pₙ}

Is:

Ev = x₁*p₁ + ... + xₙ*pₙ

There are 500 tickets sold.

1 of these, wins $3,000  (this is the event x₁)

4 of these, wins $100     (this is the event x₂)

2 of these, wins $75        (this is the event x₃)

The others do not have a prize.

So the probability of winning the $3000 is equal to the quotient between the number of tickets with that prize (1) and the total number of tickets (500)

p₁ = 1/500

Similarly, the probability of winning $100 will be:

p₂ = 4/500

And for the $75 prize:

p₃ = 2/500

Then the probability of not winning is:

p₄ = 493/500

Then the expected value for a single ticket is:

Ev = $0*493/500 + $75*2/500 + $100*4/500 + $3000*1/500

Ev = $7.1

If you take in account that you pay $50 for the ticket, the actual expectation should be:

E = $7.10 - $50 = -$42.90


Related Questions

Wires manufactured for use in a computer system are specified to have resistances between 0.14 and 0.16 ohms. The actual measured resistances of the wires produced by company A have a normal probability distribution with mean 0.15 ohm and standard deviation 0.005 ohm. (Round your answers to four decimal places.) (a) What is the probability that a randomly selected wire from company A's production will meet the specifications

Answers

Answer:

Hence the probability that a randomly selected wire from company A's production will meet the specifications is 0.95455.

Step-by-step explanation:

a)[tex]P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005) < (x - \mu) /\sigma < (0.16 - 0.15) / 0.005) ][/tex]

[tex]=P(0.14 < x < 0.16 ) = P[(0.14 - 0.15)/ 0.005)< ((x - 0.15) /0.005) < (0.16 - 0.15) / 0.005) ][/tex]

[tex]=P(z<\frac{0.01}{0.005} )- P(z<-\frac{0.01}{0.005})[/tex]  

Using z table,  

= 0.9773 - 0.02275  

= 0.95455.

Find the center and radius of the circle. Write the standard form of the equation.
(1,6) (10,6)

Answers

Answer:

Centre, ((1+10)/2,(6+6)/2)

or, (11/2,12/6)

or, (5.5,6)

Radius,

[√{(10-1)²+(6-6)²}]/2

= (√81)/2

= 9/2 = 4.5

(x-11/2)²+(y-6)²=20.25

Solve the equation Axb by using the LU factorization given for A. Also solve Axb by ordinary row reduction. A ​, b Let Lyb and Uxy. Solve for x and y. nothing nothing Row reduce the augmented matrix and use it to find x. The reduced echelon form of is nothing​, yielding x nothing.

Answers

Answer: Hello your question is poorly written attached below is the complete question

answer:

[tex]y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right][/tex]

[tex]x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right][/tex]

Step-by-step explanation:

[tex]y = \left[\begin{array}{ccc}-4\\-11\\5\end{array}\right][/tex]

[tex]x = \left[\begin{array}{ccc}16\\12\\-40\end{array}\right][/tex]

attached below is the detailed solution using LU factorization

Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. A paper gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the postweaning period (P).

Subject
1 2 3 4 5 6 7 8 9 10
L 1928 2549 2825 1924 1628 2175 2114 2621 1843 2541
P 2126 2885 2895 1942 1750 2184 2164 2626 2006 2627

Required:
a. Does data suggest that true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g? State and test the appropriate hypotheses using a significance level of 0.05. [Note: The appropriate normal probability plot shows some curvature but not enough to cast substantial doubt on a normality assumption.]

b. Calculate a lower confidence bound using a 95% confidence level for the true average difference between TBBMC during postweaning and lactation.

Answers

Answer:

- 179.981

Step-by-step explanation:

The hypothesis :

H0 : μL - μP ≥ 25

H0 : μL - μP < 25

The sample mean difference ;Xd

d = L - P

Xd = Σd/n

d = -198,-336,-70,-18,-122,-9,-50,-5,-163,-86

Xd = - 1057 / 10

Xd = - 105.7

Using calculator ;

Standard deviation of difference, Sd = 103.845

The test statistic :

T = Xd ÷ (Sd/√n)

T = -105.7 ÷ (103.845/√10)

T = - 3.219

Decision region :

Reject H0 ; If Pvalue < α

The Pvalue : df = n - 1 ; 10 - 1 = 9

Pvalue(-3.219, 9) ; two-tailed = 0.00525

Hence, reject H0

B.) The confidence interval for difference in mean :

Xd ± Tcritical[Sd/√n]

Tcritical at 95%, df = 9

Tcritical = 2.262

C.I = -105.7 ± 2.262[103.845/√10]

C.I = -105.7 ± 74.281076

Lower boundary: - 105.7 - 74.281076 = - 179.9810


Compose an expression to find the 20th term of any arithmetic sequence in terms of just a and d. Look at the pattern in
part A with the first three terms to help you.
20th term:

Answers

Answer:

Hello,

Step-by-step explanation:

u(i) is the ith term of the a.s

a is the first term and d the common difference

for n in {1,2,3...}: u(n)=a+(n-1)*d

u(1)=a+0*d=a

u(2)=u(1)+d=a+d=a+1*d

u(3)=u(2)+d=a+1*d+d=a+2*d

...

u(20)=a+19*d

Answer:

a+19d

Step-by-step explanation:

edmentum

(A) The weight of cans of vegetables is normally distributed with a mean of 1380 grams and a standard deviation of 80 grams. What is the probability that the sample mean of weight for 15 randomly selected cans is more than 1410

Answers

Answer:

7.35%

Step-by-step explanation:

μ = 1380

σ = 80  

n = 15  

P(x>1410)  

= (1410-1380)/((80)/(sqrt(15)))

= 1.4524  

P(z>1.4524) = 0.4265  (from the graph)

P(z>1.4524) = 0.5 - 0.4265 = 0.0735

Michelle ate a watermelon with 81 seeds. She picked out 1/9 of all the seeds to plant in her backyard. But her mother said there is no room for that many watermelon plants, so her mom only let her plant 1/3 of the seeds she had chosen. How many watermelon seeds was she allowed to plant in her backyard?

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

1/3 of 1/9 of 81 is ...

  81×1/9×1/3 = 9×1/3 = 3

Michelle was allowed to plant 3 seeds.

100 divided by 200-3+1000=

Answers

Answer:

997.5 is the answer to your question..

London bought snacks for her team's practice. She bought a bag of apples for $2.25
and a 18-pack of juice bottles. The total cost before tax was $9.63. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?

Answers

Answer:

j = $7.38 / 18

Step-by-step explanation:

1. We have to find the total cost of a 18 juice bottles pack

= $ 9.63 - $ 2.25

= $ 7.38

2. To find how much each bottle of juice costs :

j = $ 7.38 / 18 #

I need help ASAP thank you guys

Answers

Answer:

The fraction is undefined when x=-2

Step-by-step explanation:

The fraction will be undefined when the denominator is zero

x+2 = 0

x+2-2 = 0-2

x = -2

The fraction is undefined when x=-2

Answer:

as to me 5

Step-by-step explanation:

ask someone else to say that I am not sure if you have any questions or need any further information please contact me at the end of the world

Please help me!
14
33
46
60
200

Answers

Answer:

46

Step-by-step explanation:

200/2 = 100, and the x coordinate that line up with the y-coordinate of 100 is 46.

I need help please IVE BEEN AT THIS FOREVER

Answers

Answer:

.3

Step-by-step explanation:

Take path A = .5

Then Path D = .6

P(a and D) = .5 *.6 = .3

Each machine at a certain factory can produce 90 units per hour. The setup cost is 20 dollars for each machine and the operating cost is 26 dollars per hour (total, not 26 dollars per machine per hour). You would like to know how many machines should be used to produce 40000 units, with the goal of minimizing production costs.
First, find a formula for the total cost in terms of the number of machines, n:_______
TC = ______
machines for a total cost of The minimum total cost is achieved when using dollars.

Answers

Answer:

a)  [tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

b)  [tex]n=24[/tex]

Step-by-step explanation:

From the question we are told that:

Rate r=90 units per hour

Setup cost =20

Operating Cost =26

Units=40000

Generally the equation for Total cost is mathematically given by

[tex]Total Cost=20n+\frac{(\frac{40000}{90}*26)}{n}[/tex]

[tex]T_n=20n+\frac{11556}{n}\\\\T_n=\frac{20n^2+11556}{n}.....equ 1[/tex]

Differentiating

[tex]T_n'=\frac{n(40n)-(40n^2+11556)}{n_2}\\\\T_n'=\frac{20n^2-11556}{n^2}.....equ 2[/tex]

Equating equ 1 to zero

[tex]0=\frac{20n^2+11556}{n}[/tex]

[tex]n=24[/tex]

Therefore

Substituting n

For Equ 1

[tex]T_n=\frac{20(24)^2+11556}{24}[/tex]

F(n)>0  

For Equ 2

[tex]T_n'=\frac{20(24)^2-11556}{24^2}[/tex]

F(n)'<0

The train station clock runs too fast and gains 5 minutes every 10 days. How many minutes and seconds will it gain in 7 days

Answers

Answer: 210 secs (3 mins, 30 secs)

Step-by-step explanation:

No of minutes gained every 10 days = 5 mins

No of minutes gained every day = 5 ÷ 10

                                                      = 0.5 min (30 secs)

Amount of time gained in 7 days = 30 secs × 7

                                                       = 210 secs (3 mins, 30 secs)

Round 254 212 610 to the nearest million

Answers

Answer:

254,000,00

I hope this helps

A health club sold ten memberships in one week for total of $3000. If male memberships cost $300 and female memberships cost $300, then how many male memberships and how female memberships were sold?

Answers

Answer:

Step-by-step explanation:

The reason you haven't gotten an answer to this is because in its current formatting, there is no answer. Here's what I mean:

The first equation is going to be concerning the NUMBER of memberships sold, where m is male and f is female. The total number of memberships was 10:

m + f = 10

Now for the money equation. The total amount of money made from that number of memberships was 3000, where male memberships cost $300 and so do the female memberships, giving us an equation of

300m + 300f = 3000

Go back to the first equation and solve for either m or f. I solved for m in terms of f:

m = 10 - f and sub that into the second equation for m to get:

300(10 - f) + 300f = 3000 and

3000 - 300f + 300f = 3000. Here is where you find the problem. The -300f and the 300f cancel each other out, leaving you with the fact that

3000 = 3000 which it does, but it doesn't give us any viable answer.

I would have to say that since we can't do math on this, that the most credible answer you'll find is that the same number of male and female memberships were sold because 5 male memberships cost $1500 (5 memberships at $300 a piece is $1500) and 5 female memberships also cost $1500.

1500 + 1500 = 3000

âClaim: Most adults would erase all of their personal information online if they could. A software firm survey of 551 randomly selected adults showed that 50.4â% of them would erase all of their personal information online if they could. Make a subjective estimate to decide whether the results are significantly low or significantlyâ high, then state a conclusion about the original claim.

Answers

Look at the file, it has every bit of the answer

Sandra ride her bike 5 times as many miles as Barbara. If b, the distance Barbara rode equals 3.4 miles what is the correct expression and the distance Sandra rode

Answers

Answer:

b + 5; when b = 3.4 the distance Sandra rode is 17 miles.

Step-by-step explanation:

HELP PLEASE ASAPPPP!!

Answers

Answer:

12

Step-by-step explanation:

(10/y + 13) -3

Let y=5

(10/5 + 13) -3

PEMDAS says parentheses first

(2 +13) -3

15 -3

12

(03.04) Use the graph below for this question: What is the average rate of change from x = −3 to x = 5? (1 point)
A.−1
B.0
C.1
D.8

Answers

Answer:

B. 0

Step-by-step explanation:

Rate of change from x = -3 to x = 5

Rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

where, from the graph, we have:

a = -3, f(a) = -1,

b = 5, f(b) = -1,

Plug in the values

Rate of change = [tex] \frac{-1 -(-1)}{5 - (-3)} [/tex]

Rate of change = [tex] \frac{0}{8} [/tex]

Rate of change = 0

Nadira owns a clothes shop.
The pictogram shows the number of skirts that were sold each day in one week.

On which day were most skirts sold?

Answers

Answer:

Friday

Step-by-step explanation:

you need to count the number of circles, the half circle represents 5 skirts

Answer by Gauthmath

Friday because it’s the biggest

Angelica’s bouquet of dozen roses contains 5 white roses. The rest of the roses. What fraction of the bouquet is pink? There are 12 roses in a dozen

Answers

Answer:

7/12

Step-by-step explanation:

total: 12 roses

white roses: 5

pink roses: 7

fraction of pink roses = 7/12

A tour bus is traveling along a triangular path. The three straight lines form a right triangle. One leg of the triangle represents a distance of 8 miles. The other leg of the triangle is 4 miles shorter than the hypotenuse. What is the length of the hypotenuse of this​ triangle? Of the other​ leg?

Answers

Answer:

Hypotenuse=10 miles.

Short leg=6 miles.

Step-by-step explanation:

Set up triangle, leg 8 miles, hypotenuse x miles, short leg x-4 miles.Input into Pythagoras theorem.Simplify.

Solve for x.
A. 1
B. 5
C. 3
D. 12

Answers

9514 1404 393

Answer:

  A.  1

Step-by-step explanation:

Arc AB is twice the measure of the angle ABC. The sum of the arc measures around the circle is 360°.

  2(43x)° +(272x +2)° = 360°

  358x +2 = 360 . . . . . . . . . . . . divide by °, collect terms

  358x = 358 . . . . . . . . subtract 2

  x = 1 . . . . . . . . . . divide by 358

i would like some help please i am stuck ​

Answers

Answer: -2(d) is the answer.

Step-by-step explanation:

x1 = 3

y1 = -5

x2 = -2

y2 = 5

slope (m) = rise/run = (y2 - y1)/(x2-x1)

                                =(5-(-5))/(-2-3)

                                 =   10/-5

                                 = -2

find the area and perimeter please

Answers

Answer:

the area is 740 cm and the perimeter is 148

Differentiate the x the function :
(3x² - 9x +5²)

Answers

Firstly , before solving the equation , we should know about the chain rule and its formula.

Formula For the Chain rule-

$\rightarrow$ $\sf\dfrac\pink{dy}\pink{dx}$=$\sf\dfrac\pink{dy}\pink{du}$ $\times$ $\sf\dfrac\pink{du}\pink{dx}$ $\leftarrow$

_____________________________

$\sf\huge\underline{\underline{Question:}}$

$\sf\small{Differentiate\: x\: the \:function: (3x² - 9x + 5²)}$

$\sf\huge\underline{\underline{Solution:}}$

$\sf{Let\:y = (3x^2 - 9x + 5)^9}$

$\space$

☆ Differentiating both the sides w.r.t.x using chain rule-

$\mapsto$ [tex]\sf\dfrac{dy}{dx}=[/tex][tex]\sf\dfrac{d}{dx}[/tex][tex]\sf{(3x^2 - 9x + 5)^9}[/tex]

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{9(3x^2-9x+5)^8}[/tex] [tex]\times[/tex] [tex]\sf\dfrac{d}{dx}[/tex]$\sf\small{(3x^2-9+5)}$

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{9(3x^2-9x+5)^8}[/tex] [tex]\times[/tex][tex]\sf(6x-9)[/tex]

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{9(3x^2-9x+5)^8}[/tex] $\times$ [tex]\sf{3(2x-3)}[/tex]

$\space$

$\space$

$\mapsto$ [tex]\sf\dfrac{dy}{dx}[/tex]=[tex]\sf{27(3x^2-9x+5)^8(2x-3)}[/tex]

$\space$

$\space$

$\sf\underline\bold\green{❍ dy:dx=27(3x^2-9x+5)^8(2x-3)}$

______________________________

I need help ASAP please

Answers

Answer:

5:10

6 (-2,0)

7 (-5,6)

8 (5,3)

9 No, ab=8 CD=6

Step-by-step explanation:

Rebecca buys a new couch for $1,200. She plans on making a monthly payment of $75 on the balance, starting the month
after she buys the couch. Which recursive function models the amount of money Rebecca still has to pay for the couch?

Answers

The recursive function is A(t + 1) = A(t) - 75

Where;

A(t) = 1,200 - 75×t

The known parameter are;

The amount Rebecca buys the new couch = $1,200

The amount she plans to make as monthly payment = $75

The time she plans to start paying = The month after she buys the couch

Strategy;

Define a recursive function that models the amount of money Rebecca still has to pay

Definition

A recursive function is one which has its own process as an input in the process of its implementation

A recursive function that models the amount of money Rebecca still has to pay for the couch is found as follows;

The amount left for her to pay in the present month = The amount left to pay in the previous month - $75

Let A(t + 1) represent the amount left for her to pay in the present month and let A(t) represent the amount left to pay in the previous month, we get;

A(t) = 1,200 - 75×t

A(t + 1) = 1,200 - 75×t - 75 = A(t) - 75

The recursive function is A(t + 1) = A(t) - 75

The function is recursive because, the function, A(t), is called in as an input to the execution of the function

Learn more about recursive functions here;

https://brainly.com/question/13657607

Answer:

f(1) = 1,200

f(n) = f(n-1) -75 for n > 2

Step-by-step explanation:

Since the initial loan amount is $1,200, f(1) =1200.

And since $75 is deducted from the balance each month starting with n >2 , the common difference, d, is  -75 .

Use the general recursive function for an arithmetic sequence,f(n)= f (n - 1 ) +d , for n > 2 to write the recursive function models Rebecca’s situation:

Can someone please help me with this

Answers

Answer:

d

Step-by-step explanation:

h

Other Questions
how do i convert y = 6x into y = mx + b form? A moving company uses plastic wrap to bundle groups of boxes together. If a portion of plastic wrap that measures 900 inches in length is used to bundle each group of boxes, how many groups of boxes can be bundled using 1500 feet of the same type of plastic wrap? Triangles ABC and DEF are similar. Find theperimeter of triangle DEF.a. 34.7 cmb. 25.3 cmc. 15 cmd. 38 cmPlease show work to help me understand. On November 1, Equipment had a beginning balance in the Office Supplies account of . During the month, purchased of office supplies. At November 30, Equipment had of office supplies on hand.Required: The Office Supplies T-account has been opened for you. Post the beginning balance and purchase of office supplies. Which angles are congruent to each other? Angle 4 and Angle 3 Angle 3 and Angle 7Angle 8 and Angle 5Angle 1 and Angle 3 Solve 3(5x + 7) = 9x + 39.O A. X=-3B. X= -10O c. x = 10O D. x= 3 Some of the smallest cells in the human body are red blood cells. They make up nearly half the volume of blood. A typical red blood cell is 8 m across. The largest artery that blood flows through is the aorta, which is about 20 mm (2 cm) across. How many red blood cells would fit side-by-side across the aorta? Show your working. Verify that (-x) is the same as x , for x = 4/5 Find the slope of the line (4,0) (9,11) Help plsss!!!! what is environment in world any four source of energy Which of the following best challenges the readers' critical thinking? A. Presence of foreign words B. Author's cultural and ethnic background C. Presence of ambiguity D. Presence of anachronisms Which graph represents an odd function? Hope made 3 different yo-yo's. She used 1 3/4 meters of string for the first yo-yo, 1 meter of string (4.23)(1.6) please multiple datafind the range between 14, 15, 16, 14,23,1315, 24, 12, 23, 14; 20, 17, 21, 22, 1031, 19, 20,17, 16, 15, 11, 12, 21, 20, 17, 18, 19, 23 What type of operating system is Linux? An outsourced operating system An open source operating system A closed source operating system A variable source operating system ayone amos right now gonna be answering : yungbreezyf2 Let be the density function for the shelf life of a brand of banana which lasts up to weeks. Time, , is measured in weeks and . Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place. Mean find length of missing sides just fill in the missing blanks I need the answer dont have to put the explanation